Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport

Reports on Progress in Physics

Volumn 74, Issue 11, 2011, Pages

  Chou, T ^a   Mallick, K ^b   Zia, R K P ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b CEA SACLAY   (France)

^c VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80055088002     PISSN: 00344885     EISSN: None     Source Type: Journal    
DOI: 10.1088/0034-4885/74/11/116601     Document Type: Review

References (346)

1. A P Young (ed) 1998 Spin Glasses and Random Fields (Directions in Condensed Matter Physics vol 12) (Singapore: World Scientific)
2. de Dominicis C and Giardina I 2010 Random Fields and Spin Glasses: A Field Theory Approach (Cambridge: Cambridge University Press)
3. Henkel M and Pleimling M 2010 Nonequilibrium Phase Transitions Ageing and Dynamical Scaling far from Equilibrium vol 2 (Heidelberg: Springer)
4. Hill T L 1966 Studies in irreversible thermodynamics: IV. Diagrammatic representation of steady state fluxes for unimolecular systems J. Theor. Biol. 10 442
5. Committee on CMMP 2010 Condensed-Matter and Materials Physics: The Science of the World Around Us (Washington, DC: The National Academies Press)
6. BESAC Subcommittee on Grand Challenges for Basic Energy Sciences 2007 Directing Matter and Energy: Five Challenges for Science and the Imagination (Washington, DC: US Department of Energy)
7. Zia R K P and Schmittmann B 2007 Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states J. Stat. Mech. 2007 P07012
8. Jiang D Q, Qian M and Qian M P 2004 Mathematical Theory of Nonequilibrium Steady States: On the Frontier of Probability and Dynamical Systems (Berlin: Springer)
9. Spitzer F 1970 Interaction of Markov processes Adv. Math. 5 246
10. Spohn H 1991 Large Scale Dynamics of Interacting Particles (Heidelberg: Springer)
11. Liggett T M 1999 Stochastic Interacting Systems: Contact, Voter, and Exclusion Processes (Berlin: Springer)
12. Schütz G 2000 Exactly Solvable Models for Many-Body Systems far from Equilibrium (Phase Transitions and Critical Phenomena vol 19) (New York: Academic)
13. MacDonald C T, Gibbs J H and Pipkin A C 1968 Kinetics of biopolymerization on nucleic acid templates Biopolymers 6 1
14. MacDonald C T and Gibbs J H 1969 Concerning the kinetics of polypeptide synthesis on polyribosomes Biopolymers 7 707
15. Chowdhury D, Santen L and Schadschneider A 2000 Statistical physics of vehicular traffic and some related systems Phys. Rep. 329 199
16. Kardar M, Parisi G and Zhang Y C 1986 Dynamic scaling of growing interfaces Phys. Rev. Lett. 56 889
17. Wolf D E and Tang L H 1990 Inhomogeneous growth processes Phys. Rev. Lett. 65 1591
18. Wang G C and Lu T M 1985 Physical realization of two-dimensional Ising critical phenomena: oxygen chemisorbed on the W(112) surface Phys. Rev. B 31 5918
19. 7 Phys. Rev. Lett. 63 2606
20. Wolf W P 2000 The Ising model and real magnetic materials Braz. J. Phys. 30 794
21. Wilson Kenneth G 1983 The renormalization group and critical phenomena Rev. Mod. Phys. 55 583
22. Quinn H R 2009 Time reversal violation J. Phys.: Conf. Ser. 171 012001
23. Onsager L 1931 Reciprocal relations in irreversible processes: I. Phys. Rev. 37 405
24. Green M S 1954 Markoff random processes and the statistical mechanics of time-dependent phenomena: II. Irreversible processes in fluids J. Chem. Phys. 22 398
25. Kubo R 1957 Statistical-mechanical theory of irreversible processes: I. General theory and simple applications to magnetic and conduction problems J. Phys. Soc. Japan 12 570
26. de Groot S R and Mazur P 1962 Non-Equilibrium Thermodynamics (Amsterdam: North Holland)
27. Jarzynski C 1997 Nonequilibrium equality for free energy differences Phys. Rev. Lett. 78 2690
28. Crooks G E 1998 Nonequilibrium measurements of free energy differences for microscopically reversible Markovian systems J. Stat. Phys. 90 1481
29. Crooks G E 2000 Path-ensemble averages in systems driven far from equilibrium Phys. Rev. E 61 2361
30. Hatano T and Sasa S I 2001 Steady-state thermodynamics of Langevin systems Phys. Rev. Lett. 86 3463
31. Hummer G and Szabo A 2001 Free energy reconstruction from nonequilibrium single-molecule pulling experiments Proc. Natl Acad. Sci. USA 98 3658
32. Seifert U 2005 Entropy production along a stochastic trajectory and an integral fluctuation theorem Phys. Rev. Lett. 95 040602
33. Speck T and Seifert U 2006 Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state Europhys. Lett. 74 391
34. Seifert U and Speck T 2010 Fluctuation-dissipation theorem in nonequilibrium steady states Europhys. Lett. 89 10007
35. Chetrite R and Gawedzki K 2008 Fluctuation relations for diffusion processes Commun. Math. Phys. 282 469
36. Katz S, Lebowitz J L and Spohn H 1984 Non-equilibrium steady states of stochastic lattice gas models of fast ionic conductors J. Stat. Phys. 34 497
37. Prigogine I 1967 Introduction to Thermodynamics of Irreversible Processes 3rd edn (New York: Interscience)
38. Gyarmati I 1970 Non-Equilibrium Thermodynamics: Field Theory and Variational Principles (Berlin: Springer)
39. Jaynes E T 1980 The minimum entropy production principle Annu. Rev. Phys. Chem. 31 579
40. Gallavotti G 2004 Entropy production and thermodynamics of nonequilibrium stationary states: a point of view Chaos 14 680
41. Phil A 2006 Theory for non-equilibrium statistical mechanics Phys. Chem. Chem. Phys. 8 3585
42. Martyushev L M and Seleznev V D 2006 Maximum entropy production principle in physics, chemistry and biology Phys. Rep. 426 1
43. Otten M and Stock G 2010 Maximum caliber inference of nonequilibrium processes J. Chem. Phys. 133 034119
44. Monthus C 2011 Non-equilibrium steady states: maximization of the Shannon entropy associated with the distribution of dynamical trajectories in the presence of constraints J. Stat. Mech. 2011 P03008
45. Seneta E 1981 Non-Negative Matrices and Markov Chains 2nd edn (London: Springer)
46. Van Kampen N G 2007 Stochastic Processes in Physics and Chemistry 3rd edn (Amsterdam: Elsevier)
47. Reichl L E 2009 A Modern Course in Statistical Physics 3rd edn (New York: Wiley)
48. Risken H 1989 The Fokker-Planck Equation: Methods of Solutions and Applications 2nd edn (Berlin: Springer)
49. Schadschneider A, Chowdhury D and Nishinari K 2011 Stochastic Transport in Complex Systems: From Molecules to Vehicles (Amsterdam: Elsevier)
50. Brown R 1828 A brief account of microscopical observations made on the particles contained in the pollen of plants Phil. Mag. 4 161
51. Einstein A 1905 ber die von der molekularkinetischen theorie der wärme geforderte bewegung von in ruhenden flüssigkeiten suspendierten teilchen Ann. Phys., Lpz. 322 549
52. von Smoluchowski M 1906 Zur kinetischen theorie der Brownschen molekularbewegung und der suspensionen Ann. Phys., Lpz. 326 756
53. Glauber R J 1963 Time dependent statistics of the Ising model J. Math. Phys. 4 294
54. Swendsen R H and Wang J S 1987 Nonuniversal critical dynamics in Monte Carlo simulations Phys. Rev. Lett. 58 86
55. Landau D P and Binder K 2009 A Guide to Monte Carlo Simulations in Statistical Physics 3rd edn (Cambridge: Cambridge University Press)
56. Metropolis N, Rosenbluth A W, Rosenbluth M N, Teller A H and Teller E 1953 Equation of state calculations by fast computing machines J. Chem. Phys. 21 1087
57. Ising E 1925 Beitrag zur theorie des ferromagnetismus Z. Phys. 31 253
58. Yang C N and Lee T D 1952 Statistical theory of equations of state and phase transitions: I. Theory of condensation Phys. Rev. 87 404
59. Huang K 1987 Statistical Mechanics 2nd edn (New York: Wiley)
60. Kawasaki K 1966 Diffusion constants near the critical point for time-dependent Ising models: II. Phys. Rev. 148 375
61. Kawasaki K 1970 Kinetic equations and time correlation functions of critical fluctuations Ann. Phys. 61 1
62. Kolmogorov A N 1936 Zur theorie der Markoffschen ketten Math. Ann. 112 155
63. Schnakenberg J 1976 Network theory of microscopic and macroscopic behavior of master equation systems Rev. Mod. Phys. 48 571
64. Haken H 1983 Synergetics: An Introduction 3rd edn (Berlin: Springer)
65. Kirchhoff G 1847 ber die auflösung der gleichungen, auf welche man bei der untersuchung der linearen verteilung galvanischer ströme geführt wird Ann. Phys. Chem. 72 497
66. Zia R K P and Schmittmann B 2006 A possible classification of nonequilibrium steady states J. Phys. A: Math. Gen. 39 L407
67. Chetrite R and Gupta S 2011 Two refreshing views of fluctuation theorems through kinematics elements and exponential martingale J. Stat. Phys. 143 543
68. Schmittmann B and Zia R K P 1995 Statistical mechanics of driven diffusive systems Phase Transitions and Critical Phenomena vol 17 (London: Academic)
69. Praestgaard E L, Schmittmann B and Zia R K P 2000 A lattice gas coupled to two thermal reservoirs: Monte Carlo and field theoretic studies Eur. Phys. J. B 18 675
70. Zia R K P, Praestgaard E L and Mouritsen O G 2002 Getting more from pushing less: negative specific heat and conductivity in non-equilibrium steady states Am. J. Phys. 70 384
71. Evans D J, Cohen E G D and Morriss G P 1993 Probability of second law violations in shearing steady states Phys. Rev. Lett. 71 2401
72. Evans D J and Searles D J 1994 Equilibrium microstates which generate second law violating steady states Phys. Rev. E 50 1645
73. Gallavotti G and Cohen E G D 1995 Dynamical ensembles in non-equilibrium statistical mechanics Phys. Rev. Lett. 74 2694
74. Baiesi M, Maes C and Wynants B 2009 Fluctuations and response of nonequilibrium states Phys. Rev. Lett. 103 010602
75. Kurchan J 1998 Fluctuation theorem for stochastic dynamics J. Phys. A: Math. Gen. 31 3719
76. Lebowitz J L and Spohn H 1999 A Gallavotti-Cohen type symmetry in the large deviation functional for stochastic dynamics J. Stat. Phys. 95 333
77. Derrida B 2007 Non-equilibrium steady states: fluctuations and large deviations of the density and of the current J. Stat. Mech. 2007 P07023
78. Touchette H 2009 The large deviation approach to statistical mechanics Phys. Rep. 478 1
79. Kubo R, Toda M and Hashitsume N 1998 Statistical Physics II: Nonequilibrium Statistical Mechanics 2nd edn (Berlin: Springer)
80. Marconi U M B, Puglisi A, Rondoni L and Vulpiani A 2008 Fluctuation-dissipation: response theory in statistical physics Phys. Rep. 461 111
81. Gallavotti G 2008 Fluctuation theorem and chaos Eur. Phys. J. B 64 315
82. Jarzynski C 2008 Nonequilibrium work relations: foundations and applications Eur. Phys. J. B 64 331
83. Bertini L, De Sole A, Gabrielli D, Jona-Lasinio G and Landim C 2002 Macroscopic fluctuation theory for stationary non-equilibrium states J. Stat. Phys. 107 635
84. Grinstein G 1991 Generic scale invariance in classical nonequilibrium systems J. Appl. Phys. 69 5441
85. Dorfman J R, Kirkpatrick T R and Sengers J V 1994 Generic long range correlations in molecular fluids Annu. Rev. Phys. Chem. 45 213
86. Evans M R, Kafri Y, Koduvely H M and Mukamel D 1998 Phase separation and coarsening in one-dimensional driven diffusive systems: local dynamics leading to long-range Hamiltonians Phys. Rev. E 58 2764
87. Clincy M, Derrida B and Evans M R 2003 Phase transition in the ABC model Phys. Rev. E 67 066115
88. Baxter R J 2008 Exactly Solved Models in Statistical Mechanics 1st edn (New York: Dover)
89. Sutherland B 2004 Beautiful Models: 70 Years of Exactly Solved Quantum Many-Body Problem 1st edn (Singapore: World Scientific)
90. Krug J 1991 Boundary-induced phase transitions in driven diffusive systems Phys. Rev. Lett. 67 1882
91. Harris T E 1965 Diffusion with 'collisions' between particles J. Appl. Prob. 2 323
92. Liggett T M 1985 Interacting Particle Systems 1st edn (New York: Springer)
93. Evans M R and Blythe R A 2002 Non-equilibrium dynamics in low dimensional systems Physica A 313 110
94. Karzig T and von Oppen F 2010 Signatures of critical full counting statistics in a quantum-dot chain Phys. Rev. B 81 045317
95. Evans M R 1996 Bose-Einstein condensation in disordered exclusion models and relation to traffic flow Europhys. Lett. 36 13
96. Derrida B 1998 An exactly soluble non-equilibrium system: the asymmetric simple exclusion process Phys. Rep. 301 65
97. Krapivsky P L, Redner S and Ben-Naim E 2010 A Kinetic View of Statistical Physics 1st edn (Cambridge: Cambridge University Press)
98. Barma M 1992 Dynamics of field-driven interfaces in the two-dimensional Ising model J. Phys. A: Math. Gen. 25 L693
99. Barma M 2006 Driven diffusive systems with disorder Physica A 372 22
100. Chatterjee S and Barma M 2006 Dynamics of fluctuation-dominated phase ordering: hard-core passive sliders on a fluctuating surface Phys. Rev. E 73 011107
101. Chatterjee S and Barma M 2008 Shock probes in a one-dimensional Katz-Lebowitz-Spohn model Phys. Rev. E 77 061124
102. Harris R J and Stinchcombe R B 2004 Disordered asymmetric simple exclusion process: mean-field treatment Phys. Rev. E 70 016108
103. Shaw L B, Sethna J P and Lee K H 2004 Mean-field approaches to the totally asymmetric exclusion process with quenched disorder and large particles Phys. Rev. E 70 021901
104. Shaw L B, Kolomeisky A B and Lee K H 2004 Local inhomogeneity in asymmetric simple exclusion processes with extended objects J. Phys. A: Math. Gen. 37 2105
105. Zia R K P, Dong J J and Schmittmann B 2011 Modeling translation in protein synthesis with TASEP: a tutorial and recent developments J. Stat. Phys. 144 405
106. Derrida B, Janowski S A, Lebowitz J L and Speer E R 1993 Exact solution of the totally asymmetric exclusion process: shock profiles J. Stat. Phys. 73 813 (Pubitemid 24754293)
107. Mallick K 1996 Shocks in the asymmetric exclusion model with an impurity J. Phys. A: Math. Gen. 29 5375
108. Speer E R 1994 The two species totally asymmetric exclusion process On Three Levels: The Micro-, Meso-, and Macroscopic Approaches in Physics ed M Fannes, C Maes and A Verbeure (New York: Plenum)
109. Mallick K, Mallick S and Rajewsky N 1999 Exact solution of an exclusion process with three classes of particles and vacancies J. Phys. A: Math. Gen. 32 8399
110. Ferrari P A and Martin J B 2007 Stationary distributions of multi-type totally asymmetric exclusion processes Ann. Prob. 35 807
111. Evans M R, Ferrari P A and Mallick K 2009 Matrix representation of the stationary measure for the multispecies TASEP J. Stat. Phys. 135 217
112. Mallick K 2011 Some exact results for the exclusion process J. Stat. Mech. 2011 P01024
113. Gantmacher F R 1964 Matrix Theory 1st edn (New York: Chelsea)
114. Jain K, Marathe R, Chaudhuri A and Dhar A 2007 Driving particle current through narrow channels using classical pump Phys. Rev. Lett. 99 190601
115. Born M and Green H S 1946 A general kinetic theory of liquids: I. The molecular distribution functions Proc. R. Soc. Lond. A 188 10
116. Kirkwood J G 1946 The statistical mechanical theory of transport processes: I. General theory J. Chem. Phys. 14 180
117. Kirkwood J G 1947 The statistical mechanical theory of transport processes: II. Transport in gases J. Chem. Phys. 15 72
118. Derrida B, Domany E and Mukamel D 1992 An exact solution of a one dimensional asymmetric exclusion model with open boundaries J. Stat. Phys. 69 667
119. Janowski S A and Lebowitz J L 1992 Finite size effects and shock fluctuations in the asymmetric exclusion process Phys. Rev. A 45 618
120. Derrida B, Evans M R, Hakim V and Pasquier V 1993 Exact solution of a 1D asymmetric exclusion model using a matrix formulation J. Phys. A: Math. Gen. 26 1493
121. Schütz G M and Domany E 1993 Phase transitions in an exactly soluble one-dimensional exclusion process J. Stat. Phys. 72 277
122. Schütz G M 2001 Exactly Solvable Models for Many-Body Systems Far from Equilibrium (Phase Transitions and Critical Phenomena vol 19) ed C Domb and J L Lebowitz (San Diego, CA: Academic)
123. Blythe R A and Evans M R 2007 Nonequilibrium steady states of matrix-product form: a solver's guide J. Phys. A: Math. Theor. 40 R333
124. Lakatos G, O'Brien J and Chou T 2006 Hydrodynamic mean-field solutions of 1D exclusion processes with spatially varying hopping rates J. Phys. A: Math. Gen. 39 2253
125. Alcaraz F C and Rittenberg V 2007 Different facets of the raise and peel model J. Stat. Mech. 2007 P07009
126. Sasamoto T 1999 One-dimensional partially asymmetric exclusion process with open boundaries: orthogonal polynomial approach J. Phys. A: Math. Gen. 32 7109
127. Sasamoto T 2000 Density profile of the one-dimensional partially asymmetric simple exclusion process with open boundaries J. Phys. Soc. Japan 69 1055
128. Ferrari P A 1992 Shock fluctuations in the asymmetric simple exclusion Prob. Theor. Relat. Fields 91 81
129. Ferrari P A and Fontes L R G 1994 Current fluctuations for the asymmetric exclusion process Ann. Prob. 22 820-32
130. Ferrari P A, Fontes L R G and Kohayakawa Y 1994 Invariant measures for a two-species asymmetric process J. Stat. Phys. 76 1153 (Pubitemid 24826255)
131. Derrida B 2011 Microscopic versus macroscopic approaches to non-equilibrium systems J. Stat. Mech. 2011 P01030
132. Dhar D 1987 An exactly solved model for interfacial growth Phase Transit. 9 51
133. Kandel D, Domany E and Nienhuis B 1990 A six-vertex model as a diffusion problem: derivation of correlation functions J. Phys. A: Math. Gen. 23 L755
134. Rajesh R and Dhar D 1998 An exactly solvable anisotropic directed percolation model in three dimensions Phys. Rev. Lett. 81 1646
135. Gwa L H and Spohn H 1992 Bethe solution for the dynamical-scaling exponent of the noisy Burgers equation Phys. Rev. A 46 844
136. Kim D 1995 Bethe ansatz solution for crossover scaling functions of the asymmetric xxz chain and the Kardar-Parisi-Zhang-type growth model Phys. Rev. E 52 3512
137. Kim D 1997 Asymmetric xxz chain at the antiferromagnetic transition: spectra and partition functions J. Phys. A: Math. Gen. 30 3817
138. Golinelli O and Mallick K 2005 Spectral gap of the totally asymmetric exclusion process at arbitrary filling J. Phys. A: Math. Gen. 38 1419
139. Golinelli O and Mallick K 2006 The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics J. Phys. A: Math. Gen. 39 12679
140. Derrida B and Lebowitz J L 1998 Exact large deviation function in the asymmetric exclusion process Phys. Rev. Lett. 80 209
141. Derrida B and Evans M R 1999 Bethe ansatz solution for a defect particle in the asymmetric exclusion process J. Phys. A: Math. Gen. 32 4833
142. Bethe H 1931 Zur theory der metalle: I. Eigenwerte und eigenfunctionen atomkette Z. Phys. 71 205
143. Gaudin M 1983 La fonction d'onde de Bethe 1st edn (Paris: Masson)
144. Langlands R P and Saint-Aubin Y 1995 Algebro-Geometric Aspects of the Bethe Equations: 'Strings and Symmetries' (Lecture Notes in Physics vol 447) (Berlin: Springer)
145. Golinelli O and Mallick K 2005 Spectral degeneracies in the totally asymmetric exclusion process J. Stat. Phys. 120 779
146. Bogoliubov N M 2009 Determinantal representation of correlation functions in the totally asymmetric exclusion model SIGMA 5 052 (arXiv:0904.3680)
147. Schütz G M 1997 Exact solution of the master equation of the asymmetric exclusion process J. Stat. Phys. 88 427
148. Priezzhev V B 2003 Exact nonstationary probabilities in the asymmetric exclusion process on a ring Phys. Rev. Lett. 91 050601
149. Priezzhev V B 2005 Non-stationary probabilities for the asymmetric exclusion process on a ring Pramana J. Phys. 64 915
150. van Beijeren H, Kutner R and Spohn H 1985 Excess noise for driven diffusive systems Phys. Rev. Lett. 54 2026
151. Halpin-Healy T and Zhang Y C 1995 Kinetic roughening phenomena, stochastic growth, directed polymers and all that Phys. Rep. 254 215
152. Majumdar S N and Barma M 1991 Tag diffusion in driven systems, growing interfaces and anomalous fluctuations Phys. Rev. B 44 5306
153. de Gier J and Essler F H L 2006 Exact spectral gaps of the asymmetric exclusion process with open boundaries J. Stat. Mech. 2006 P12011
154. de Masi A and Ferrari P A 1984 Self-diffusion in one-dimensional lattice gases in the presence of an external field J. Stat. Phys. 38 603-13
155. Proeme A, Blythe R A and Evans M R 2011 Dynamical transition in the open-boundary totally asymmetric exclusion process J. Phys. A: Math. Theor. 44 035003
156. Gorissen M and Vanderzande C 2011 Finite size scaling of current fluctuations in the totally asymmetric exclusion process J. Phys. A: Math. Theor. 44 115005
157. Mitsudo T and Takesue S 2011 The numerical estimation of the current large deviation function in the asymmetric exclusion process with open boundary conditions arXiv:1012.1387
158. Flindt C, Novotn T and Jauho A-P 2004 Current noise in a vibrating quantum dot array Phys. Rev. B 70 205334
159. Jiang D Q, Qian M and Qian M P 2004 Mathematical Theory of Nonequilibrium Steady-States (Lecture Notes in Mathematics) (Berlin: Springer)
160. Shargel B H 2009 The measure-theoretic identity underlying transient fluctuation theorems J. Phys. A: Math. Theor. 42 135002
161. Prolhac S and Mallick K 2008 Current fluctuations in the exclusion process and Bethe ansatz J. Phys. A: Math. Theor. 41 175002
162. Prolhac S 2008 Fluctuations and skewness of the current in the partially asymmetric exclusion process J. Phys. A: Math. Theor. 41 365003
163. Derrida B and Mallick K 1997 Exact diffusion constant for the one-dimensional partially asymmetric exclusion process J. Phys. A: Math. Gen. 30 1031
164. Prolhac S 2010 Tree structures for the current fluctuations in the exclusion process J. Phys. A: Math. Theor. 43 105002
165. Prolhac S and Mallick K 2009 Cumulants of the current in a weakly asymmetric exclusion process J. Phys. A: Math. Theor. 42 175001
166. Appert-Rolland C, Derrida B, Lecomte V and Van Wijland F 2008 Universal cumulants of the current in diffusive systems on a ring Phys. Rev. E 78 021122
167. Bodineau T and Derrida B 2004 Current fluctuations in nonequilibrium diffusive systems: an additivity principle Phys. Rev. Lett. 92 180601
168. Bodineau T and Derrida B 2005 Distribution of currents in non-equilibrium diffusive systems and phase transitions Phys. Rev. E 72 066110
169. Bodineau T and Derrida B 2007 Cumulants and large deviations of the current through non-equilibrium steady states C. R. Phys. 8 540
170. de Gier J and Essler F H L 2005 Bethe ansatz solution of the asymmetric exclusion process with open boundaries Phys. Rev. Lett. 95 240601
171. de Gier J and Essler F H L 2008 Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries J. Phys. A: Math. Theor. 41 485002
172. Alcaraz F C and Lazo M J 2004 The Bethe ansatz as a matrix product ansatz J. Phys. A: Math. Gen. 37 L1
173. Cantini L 2008 Algebraic Bethe ansatz for the two-species ASEP with different hopping rates J. Phys. A: Math. Theor. 41 095001
174. Arita C, Kuniba A, Sakai K and Sawabe T 2009 Spectrum of a multi-species asymmetric simple exclusion process on a ring J. Phys. A: Math. Theor. 42 345002
175. Povolotsky A M 2004 Bethe ansatz solution of zero-range process with non-uniform stationary state Phys. Rev. E 69 061109
176. Dorlas T, Povolotsky A and Priezzhev V 2009 From vicious walkers to TASEP J. Stat. Phys. 135 483
177. Majumdar S N, Mallick K and Nechaev S 2008 Bethe ansatz in the Bernoulli matching model of random sequence alignment Phys. Rev. E 77 011110
178. Priezzhev V B and Schütz G M 2008 Exact solution of the Bernoulli matching model of sequence alignment J. Stat. Mech. 2008 P09007
179. Tracy C A and Widom H 2008 Integral formulas for the asymmetric simple exclusion process Commun. Math. Phys. 279 815
180. Rakos A and Schütz G M 2005 Current distribution and random matrix ensembles for an integrable asymmetric fragmentation process J. Stat. Phys. 118 511
181. Tracy C A and Widom H 1994 Level-spacing distributions and Airy kernel Commun. Math. Phys. 159 151
182. Kriecherbauer T and Krug J 2010 A pedestrian's view on interacting particle systems, KPZ universality and random matrices J. Phys. A: Math. Theor. 43 403001
183. Johansson K 2000 Shape fluctuation and random matrices Commun. Math. Phys. 209 437
184. Spohn H 2005 Kardas-Parisi-Zhang equation in one dimension and line ensembles Pramana J. Phys. 64 847
185. Spohn H 2006 Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals Physica A 369 71
186. Ferrari P L 2011 From interacting particle systems to random matrices J. Stat. Mech. 2011 P10016
187. Baik J, Deift P and Johansson K 1999 On the distribution of the length of the longest increasing subsequence of random permutations J. Am. Math. Soc. 12 1119
188. Tracy C A and Widom H 2008 A Fredholm determinant representation in ASEP J. Stat. Phys. 132 291
189. Tracy C A and Widom H 2009 Asymptotics in ASEP with step initial condition Commun. Math. Phys. 290 129
190. Tracy C A and Widom H 2009 Total current fluctuation in ASEP J. Math. Phys. 50 095204
191. Tracy C A and Widom H 2010 Formulas for joint probabilities for the asymmetric simple exclusion process J. Math. Phys. 51 063302
192. Sasamoto T and Spohn H 2010 The 1 + 1 dimensional Kardar-Parisi-Zhang equation and its universality class J. Stat. Mech. 2010 P11013
193. Sasamato T and Spohn H 2010 One-dimensional KPZ equation: an exact solution and its universality Phys. Rev. Lett. 104 230602
194. Amir G, Corwin I and Quastel J 2011 Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions Commun. Pure Appl. Math. 64 466-537
195. Calabrese P, LeDoussal P and Rosso A 2010 Free-energy distribution of the directed polymer at high temperature Europhys. Lett. 90 20002
196. Dotsenko V 2010 Bethe ansatz derivation of the Tracy-Widom distribution for one-dimensional directed polymers Europhys. Lett. 90 20003
197. Prolhac S and Spohn H 2011 The height distribution of the KPZ equation with sharp wedge initial condition: numerical evaluations Phys. Rev. E 84 011119
198. Calabrese P and LeDoussal P 2011 An exact solution for the KPZ equation with flat initial conditions Phys. Rev. Lett. 106 250603
199. Imamura T and Sasamoto T 2011 Exact analysis of the KPZ equation with half Brownian motion initial condition arXiv:1105.4659
200. Prolhac S and Spohn H 2011 Two-point generating function of the free energy for a directed polymer in a random medium J. Stat. Mech. 2011 P01031
201. Prolhac S and Spohn H 2011 The one-dimensional KPZ equation and the Airy process J. Stat. Mech. 2011 P03020
202. Aldous D and Diaconis P 1999 Longest increasing subsequences: from patience sorting to the Baik-Deft-Johansson theorem Bull. Am. Math. Soc. 36 413-32
203. Corwin I 2011 The Kardar-Parisi-Zhang equation and universality class arXiv:1106.1596
204. Stinchcombe R B and de Queiroz S L A 2011 Smoothly-varying hopping rates in driven flow with exclusion Phys. Rev. E 83 061113
205. Shaw L B, Zia R K P and Lee K H 2003 Modeling, simulations, and analyses of protein synthesis: driven lattice gas with extended objects Phys. Rev. E 68 021910
206. Schönherr G and Schütz G M 2004 Exclusion process for particles of arbitrary extension: hydrodynamic limit and algebraic properties J. Phys. A: Math. Gen. 37 8215
207. Schönherr G 2005 Hard rod gas with long-range interactions: exact predictions for hydrodynamic properties of continuum systems from discrete models Phys. Rev. E 71 026122
208. de Dominicis C, Brézin E and Zinn-Justin J 1975 Field-theoretic techniques and critical dynamics: I. Ginzburg-Landau stochastic models without energy conservation Phys. Rev. B 12 4945
209. Halperin B I, Hohenberg P C and Ma S-k 1974 Renormalization-group methods for critical dynamics: I. Recursion relations and effects of energy conservation Phys. Rev. B 10 139
210. Halperin B I, Hohenberg P C and Ma S-k 1976 Renormalization-group methods for critical dynamics: II. Detailed analysis of the relaxational models Phys. Rev. B 13 4119
211. Bausch R, Janssen H K and Wagner H 1976 Renormalized field theory of critical dynamics Z. Phys. B 24 113
212. Janssen H K and Schmittmann B 1986 Field theory of long-time behaviour in driven diffusive systems Z. Phys. B 63 517
213. Janssen H K and Schmittmann B 1986 Field theory of critical behaviour in driven diffusive systems Z. Phys. B 64 503
214. Leung K T and Cardy J L 1986 Field theory of critical behaviour in a driven diffusive system J. Stat. Phys. 44 567
215. Janssen H K and Oerding K 1996 Renormalized field theory and particle density profile in driven diffusive systems with open boundaries Phys. Rev. E 53 4544
216. Oerding K and Janssen H K 1998 Surface critical behavior of driven diffusive systems with open boundaries Phys. Rev. E 58 1446
217. Becker V and Janssen H K 1999 Field theory of critical behavior in driven diffusive systems with quenched disorder J. Stat. Phys. 96 817
218. Parmeggiani A, Franosch T and Frey E 2003 Phase coexistence in driven one-dimensional transport Phys. Rev. Lett. 90 086601
219. Parmeggiani A, Franosch T and Frey E 2004 Totally asymmetric simple exclusion process with Langmuir kinetics Phys. Rev. E 70 046101
220. Pierobon P, Frey E and Franosch T 2006 Driven lattice gas of dimers coupled to a bulk reservoir Phys. Rev. E 74 031920
221. Frey E, Parmeggiani A and Franosch T 2004 Collective phenomena in intracellular processes Genome Inform. 15 46
222. Wood A J 2009 A totally asymmetric exclusion process with stochastically mediated entrance and exit J. Phys. A: Math. Theor. 42 445002
223. Muhuri S and Pagonabarraga I 2008 Collective vesicle transport on biofilaments carried by competing molecular motors Europhys. Lett. 84 58009
224. Pronina E and Kolomeisky A B 2006 Asymmetric coupling in two-channel simple exclusion processes Physica A 372 12
225. Reichenbach T, Franosch T and Frey E 2006 Exclusion processes with internal states Phys. Rev. Lett. 97 050603
226. Garai A, Chowdhury D, Chowdhury D and Ramakrishnan T V 2009 Stochastic kinetics of ribosomes: single motor properties and collective behavior Phys. Rev. E 80 011908
227. Papoulis A 1984 Probability, Random Variables, and Stochastic Processes (New York: McGraw-Hill)
228. Evans M R and Sugden K E P 2007 An exclusion process for modelling fungal hyphal growth Physica A 384 53
229. Sugden K E P, Evans M R, Poon W C K and Read N D 2007 Model of hyphal tip growth involving microtubule-based transport Phys. Rev. E 75 031909
230. Sugden K E P and Evans M R 2007 A dynamically extending exclusion process J. Stat. Mech. 2007 P11013
231. Hough L E, Schwabe A, Glaser M A, McIntosh J R and Betterton M D 2009 Microtubule depolymerization by the kinesin-8 motor Kip3p: a mathematical model Biophys. J. 96 3050
232. Nowak S A, Fok P W and Chou T 2007 Dynamic boundaries in asymmetric exclusion processes Phys. Rev. E 76 031135
233. Fok P W and Chou T 2009 Interface growth driven by surface kinetics and convection SIAM J. Appl. Math. 70 24
234. Levitt D G 1973 Dynamics of a single-file pore: non-Fickian behavior Phys. Rev. A 8 3050-4
235. Alexander S and Pincus P 1978 Diffusion of labeled particles on one-dimensional chains Phys. Rev. B 18 2011
236. Karger J 1992 Straightforward derivation of the long-time limit of the mean-square displacement in one-dimensional diffusion Phys. Rev. A 45 4173
237. Barkai E and Silbey R 2010 Diffusion of tagged particle in an exclusion process Phys. Rev. E 81 041129
238. Sholl D S and Fichthorn K A 1997 Concerted diffusion of molecular clusters in a molecular sieve Phys. Rev. Lett. 79 3569
239. 4-31 J. Chem. Phys. 112 817
240. Khantha M, Cordero N A, Alonso J A, Cawkwell M and Girifalco L A 2008 Interaction and concerted diffusion of lithium in a (5, 5) carbon nanotube Phys. Rev. B 78 115430
241. Gabel A, Krapivsky P L and Redner S 2010 Facilitated asymmetric exclusion Phys. Rev. Lett. 105 210603
242. Chou T 1998 How fast do fluids squeeze through microscopic single-file pores? Phys. Rev. Lett. 80 85
243. Kolomeisky A B 2007 Channel-facilitated molecular transport across membranes: attraction, repulsion and asymmetry Phys. Rev. Lett. 98 048105
244. Derrida B, Douçot B and Roche P E 2004 Current fluctuations in the one dimensional symmetric exclusion process with open boundaries J. Stat. Phys. 115 717
245. Santos J E and Schütz G M 2001 Exact time-dependent correlation functions for the symmetric exclusion process with open boundary Phys. Rev. E 64 036107
246. Jovanovic-Talisman T et al 2009 Artificial nanopores that mimic the selectivity of the nuclear pore complex Nature 457 1023
247. Zilman A, Di Talia S, Chait B I, Rout M P and Magnasco M O 2007 Efficiency, selectivity, and robustness of nucleocytoplasmic transport PLoS Comput. Biol. 3 e125
248. Chou T 1999 Kinetics and thermodynamics across single-file pores: solute permeability and rectified osmosis J. Chem. Phys. 110 606
249. + conduction and selectivity Science 280 69
250. Zilman A 2009 Effects of multiple occupancy and interparticle interactions on selective transport through narrow channels: theory versus experiment Biophys. J. 96 1235
251. Gwan J F and Baumgaertner A 2007 Cooperative transport in a potassium ion channel J. Chem. Phys. 127 045103
252. Hodgkin L and Keynes R D 1955 The potassium permeability of a giant nerve fibre J. Physiol. 128 61
253. + channel Nature 414 73
254. + ion conduction through Kv1.2 Biophys. J. 91 L72
255. Yesylevskyy S O and Kharkyanen V N 2005 Barrier-less knock-on conduction in ion channels: peculiarity or general mechanism? Chem. Phys. 312 127
256. Zilman A, Talia S Di, Jovanovic-Talisman T, Chait B T, Roux M P and Magnasco M O 2010 Enhancement of transport selectivity through nano-channels by non-specific competition PLoS Comput Biol. 6 e1000804
257. Chou T and Lohse D 1999 Entropy-driven pumping in zeolites and biological channels Phys. Rev. Lett. 82 3552
258. Ilan B, Tajkhorshid E, Schulten K and Voth G A 2004 The mechanism of proton exclusion in aquaporin channels Proteins 55 223
259. de Grotthuss C J T 1806 Sur la décomposition de l'eau et des corps qu'elle tient en dissolution l'aide de l'lectricité galvanique Ann. Chim. 58 54
260. Noam A 1995 The Grotthuss mechanism Chem. Phys. Lett. 244 456
261. Pomes R and Roux B 1996 Structure and dynamics of a proton wire: a theoretical study of H+ translocation along the single-file water chain in the gramicidin A channel Biophys. J. 71 19
262. Voth G A 2006 Computer simulation of proton solvation and transport in aqueous and biomolecular systems Acc. Chem. Res. 39 143
263. Cui Q and Karplus M 2003 Is 'proton wire' concerted or step-wise? A model study of proton transfers in carbonic anhydrase J. Phys. Chem. 107 1071
264. + permeation pathway in the voltage-gated proton channel Hv1 Nature Struct. Mol. Biol. 17 869
265. de Grioot B L, Frigato T, Helms V and Grubmuller H 2003 The mechanism of proton exclusion in the aquaporin-1 water channel J. Mol. Biol. 333 279
266. Jensen M, Röthlisberger U and Rovira C 2005 Hydroxide and proton migration in aquaporins Biophys. J. 89 1744
267. Dellago C, Naor M M and Hummer G 2003 Proton transport through water-filled carbon nanotubes Phys. Rev. Lett. 90 105902
268. Chou T 2002 An interacting spin-flip model for one-dimensional proton conduction J. Phys. A: Math. Gen. 35 4515
269. Chou T 2004 Water alignment, dipolar interactions, and multiple proton occupancy during water-wire proton transport Biophys. J. 86 2827
270. Schumaker M F 2003 Numerical framework models of single proton conduction through gramicidin Front. Biosci. 8 s982
271. Omer M and Noam A 2007 Structure and energetics of the hydronium hydration shells J. Phys. Chem. A 111 2253
272. Chowdhury D, Schadschneider A and Nishinari K 2005 Physics of transport and traffic phenomena in biology: from molecular motors and cells to organisms Phys. Life Rev. 2 318
273. Chowdhury D et al 2008 Intra-cellular traffic: bio-molecular motors on filamentary tracks Eur. Phys. J. B 64 593
274. Lau A W C, Lacoste D and Mallick K 2007 Nonequilibrium fluctuations and mechanochemical couplings of a molecular motor Phys. Rev. Lett. 99 158102
275. Lacoste D, Lau A W and Mallick K 2008 Fluctuation theorem and large deviation function for a solvable model of a molecular motor Phys. Rev. E 78 011915
276. Lacoste D and Mallick K 2009 Fluctuation theorem for the flashing ratchet model of molecular motors Phys. Rev. E 80 021923
277. Wang H and Oster G 2002 Ratchets, power strokes, and molecular motors Appl. Phys. A 75 315
278. Astumian R D 2010 Thermodynamics and kinetics of molecular motors Biophys. J. 98 2401
279. Aghababaeie Y, Menon G I and Plischke M 1999 Universal properties of interacting Brownian Motors Phys. Rev. E 59 2578
280. Cooper G M and Hausman R E 2007 The Cell: A Molecular Approach (Sunderland, MA: Sinauer Associates)
281. Jülicher F and Prost J 1995 Cooperative molecular motors Phys. Rev. Lett. 75 2618
282. Jülicher F, Ajdari A and Prost J 1997 Modeling molecular motors Rev. Mod. Phys. 69 1269
283. Vilfan A, Frey E and Schwabl F 1998 Elastically coupled molecular motors Euro. Phys. J. B 3 535
284. Badoual M, Jülicher F and Prost J 2002 Bidirectional cooperative motion of molecular motors Proc. Natl Acad. Sci. USA 99 6696-701 (Pubitemid 34526195)
285. Stukalin E B, Phillips H III and Kolomeisky A B 2005 Coupling of two motor proteins: a new motor can move faster Phys. Rev. Lett. 94 238101
286. Kolomeisky A B and Fisher M E 2007 Molecular motors: a theorist's perspective Annu. Rev. Phys. Chem. 58 675-95 (Pubitemid 46877604)
287. Brugués J and Casademunt J 2009 Self-organization and cooperativity of weakly coupled molecular motors under unequal loading Phys. Rev. Lett. 102 118104
288. Evans M R, Juhsz R and Santen L 2003 Shock formation in an exclusion process with creation and annihilation Phys. Rev. E 68 026117
289. Juhsz R and Santen L 2004 Dynamics of an exclusion process with creation and annihilation J. Phys. A: Math. Gen. 37 3933
290. Mirin N and Kolomeisky A B 2003 The effect of detachments in asymmetric simple exclusion processes J. Stat. Phys. 110 811
291. Greulich P and Schadschneider A 2009 Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics Phys. Rev. E 79 031107
292. Adamson A W and Gast A P 1997 Physical Chemistry of Surface (New York: Wiley)
293. Pierobon P, Mobilia M, Kouyos R and Frey E 2006 Bottleneck-induced transitions in a minimal model for intracellular transport Phys. Rev. E 74 031906
294. Klumpp S and Lipowsky R 2003 Traffic of molecular motors through tube-like compartments J. Stat. Phys. 113 233
295. Alberts B et al 1994 Molecular Biology of the Cell (New York: Garland Science)
296. Lipowsky R, Chai Y, Klumpp S, Liepelt S and Müller M J I 2006 Molecular motor traffic: from biological nanomachines to macroscopic transport Physica A 372 34
297. Kolomeisky A B 1997 Exact solutions for a partially asymmetric exclusion model with two species Physica A 245 523
298. Pronina E and Kolomeisky A B 2007 Spontaneous symmetry breaking in two-channel asymmetric exclusion processes with narrow entrances J. Phys. A: Math. Theor. 40 2275
299. Tsekouras K and Kolomeisky A B 2008 Inhomogeneous coupling in two-channel asymmetric exclusion processes J. Phys. A: Math. Theor. 41 465001
300. Du H F, Yuan Y M, Hu M B, Wang R, Jiang R and Wu Q S 2010 Totally asymmetric exclusion processes on two intersected lattices with open and periodic boundaries J. Stat. Mech. 2010 P03014
301. Kim K H and den Nijs M 2007 Dynamic screening in a two-species asymmetric exclusion process Phys. Rev. E 76 021107
302. Jakob N and Poul N 2005 Elongation factors on the ribosome Curr. Opin. Struct. Biol. 15 349
303. Alcaraz F C and Bariev R Z 1999 Exact solution of the asymmetric exclusion model with particles of arbitrary size Phys. Rev. E 60 79
304. Gupta S, Barma M, Basu U and Mohant P K 2011 Driven k-mers: correlations in space and time arXiv:1106.3910
305. Zia R K P, Dong J J and Schmittmann B 2011 unpublished
306. Lakatos G and Chou T 2003 Totally asymmetric exclusion processes with particles of arbitrary size J. Phys. A: Math. Gen. 36 2027
307. Kolomeisky A B 1998 Asymmetric simple exclusion model with local inhomogeneity J. Phys. A: Math. Gen. 31 1153
308. Chou T and Lakatos G 2004 Clustered bottlenecks in mRNA translation and protein synthesis Phys. Rev. Lett. 93 198101
309. Dong J J, Schmittmann B and Zia R K P 2007 Inhomogeneous exclusion processes with extended objects: the effects of defect locations Phys. Rev. E 76 051113
310. Dong J J, Schmittmann B and Zia R K P 2007 Towards a model for protein production rates J. Stat. Phys. 128 21
311. Chen C et al 2011 Single-molecule fluorescence measurements of ribosomal translocation dynamics Mol. Cell 42 367
312. Basu A and Chowdhury D 2007 Traffic of interacting ribosomes: effects of single-machine mechanochemistry on protein synthesis Phys. Rev. E 75 021902
313. Garai A, Chowdhury D and Ramakrishnan T V 2009 Fluctuations in protein synthesis from a single RNA template: stochastic kinetics of ribosomes Phys. Rev. E 79 011916
314. Pierobon P 2009 Traffic of Molecular Motors: From Theory to Experiments (Berlin: Springer)
315. Ciandrini L, Stansfield I and Romano M C 2010 Role of the particle's stepping cycle in an asymmetric exclusion process: a model of mRNA translation Phys. Rev. E 81 051904
316. Sachs A B 1990 The role of poly(A) in the translation and stability of mRNA Curr. Opin. Cell. Biol. 2 1092
317. Wells S E, Hillner P E, Vale R D and Sachs A B 1998 Circularization of mRNA by eukaryotic translation initiation factors Mol. Cell 2 135
318. Kahvejian A, Svitkin Y V, Sukarieh R, M'Boutchou M N and Sonenberg N 2005 Mammalian poly(A)-binding protein is a eukaryotic translation initiation factor, which acts via multiple mechanisms Genes Dev. 19 104
319. Chou T 2003 Ribosome recycling, diffusion, and mRNA loop formation in translational regulation Biophys. J. 85 755
320. Willett M, Pollard H J, Vlasak M and Morley S J 2010 Localization of ribosomes and translation initiation factors to talin/β3-integrin-enriched adhesion complexes in spreading and migrating mammalian cells Biol. Cell. 102 265
321. Lerner R S and Nicchitta C V 2006 mRNA translation is compartmentalized to the endoplasmic reticulum following physiological inhibition of cap-dependent translation RNA 12 775
322. Cook L J, Zia R K P and Schmittmann B 2009 Competition between many totally asymmetric simple exclusion processes for a finite pool of resources Phys. Rev. E 80 031142
323. Cook L J and Zia R K P 2009 Feedback and fluctuations in a totally asymmetric simple exclusion process with finite resources J. Stat. Mech. 2009 P02012
324. Carslaw H S and Jaeger J C 2004 Conduction of Heat in Solids (Oxford: Oxford University Press)
325. Betterton M D and Jülicher F 2005 Opening of nucleic-acid double strands by helicases: active versus passive opening Phys. Rev. E 71 011904
326. Betterton M D and Jülicher F 2005 Velocity and processivity of helicase unwinding of double-stranded nucleic acids J. Phys.: Condens. Matter 17 S3851
327. Garai A, Chowdhury D and Betterton M D 2008 Two-state model for helicase translocation and unwinding of nucleic acids Phys. Rev. E 77 061910
328. Manosas M, Xi X G, Bensimon D and Croquette V 2010 Active and passive mechanisms of helicases Nucl. Acids Res. 38 5518
329. Kim M, Santen L and Noh J D 2011 Asymmetric simple exclusion process in one-dimensional chains with long-range links J. Stat. Mech. 2011 P04003
330. Adams D A, Zia R K P and Schmittmann B 2007 Power spectra of the total occupancy in the totally asymmetric simple exclusion process Phys. Rev. Lett. 99 020601
331. Cook L J and Zia R K P 2010 Power spectra of a constrained totally asymmetric simple exclusion process J. Stat. Mech. 2010 P07014
332. Evans M R and Hanney T 2005 Nonequilibrium statistical mechanics of the zero-range process and related models J. Phys. A: Math. Gen. 38 R195
333. Rcz Z and Zia R K P 1994 Two-temperature kinetic Ising model in one dimension: steady-state correlations in terms of energy and energy flux Phys. Rev. E 49 139
334. Schmittmann B and Schmüser F 2002 Stationary correlations for a far-from-equilibrium spin chain Phys. Rev. E 66 046130
335. Mobilia M, Schmittmann B and Zia R K P 2005 Exact dynamics of a reaction-diffusion model with spatially alternating rates Phys. Rev. E 71 056129
336. Aliev M A 2009 Generating function of spin correlation functions for kinetic Glauber-Ising model with time-dependent transition rates J. Math. Phys. 50 083302
337. Lavrentovich M O and Zia R K P 2010 Energy flux near the junction of two Ising chains at different temperatures Europhys. Lett. 91 50003
338. Farago J and Pitard E 2007 Injected power fluctuations in 1D dissipative systems J. Stat. Phys. 128 1365
339. Farago J and Pitard E 2008 Injected power fluctuations in one-dimensional dissipative systems: role of ballistic transport Phys. Rev. E 78 051114
340. Wei Q H, Bechinger C and Leiderer P 2000 Single-file diffusion of colloids in one-dimensional channels Science 287 625
341. Champagne N, Vasseur R, Montourcy A and Bartolo D 2010 Traffic jams and intermittent flows in microfluidic networks Phys. Rev. Lett. 105 044502
342. Rost H 1981 Non-equilibrium behaviour of a many particle process: density profile and local equilibria Prob. Theory Relat. Fields 58 41
343. Sopasakis A and Katsoulakis M A 2006 Stochastic modeling and simulation of traffic flow: asymmetric single exclusion process with Arrhenius look-ahead dynamics SIAM J. Appl. Math. 66 921
344. Schreckenberg M, Schadschneider A, Nagel K and Ito N 1995 Discrete stochastic models for traffic flow Phys. Rev. E 51 2939-49
345. Karimipour V 1999 Multispecies asymmetric simple exclusion process and its relation to traffic flow Phys. Rev. E 59 205
346. Srinivasan R 1993 Queues in series via interacting particle systems Math. Oper. Res. 18 39