Critical dynamics: A field theory approach to equilibrium and non-equilibrium scaling behavior

Critical Dynamics: A Field Theory Approach to Equilibrium and Non-Equilibrium Scaling Behavior

Volumn , Issue , 2012, Pages 1-511

  Täuber, Uwe C ^a  

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

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[No Author keywords available]

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EID: 84924446152     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1017/CBO9781139046213     Document Type: Book

References (310)

1. Buckingham M. J. and W. M. Fairbank 1961, in: Progress in Low Temperature Physics, Vol. III, ed. C. J. Gorter, 80-112, Amsterdam: North-Holland
2. Chaikin P. M. and T. C. Lubensky 1995, Principles of Condensed Matter Physics, Cambridge: Cambridge University Press, chapters 4, 5
3. Cowan B. 2005, Topics in Statistical Mechanics, London: Imperial College Press, chapters 3, 4
4. Kardar M. 2007a, Statistical Physics of Particles, Cambridge: Cambridge University Press, chapter 5
5. Kardar M. 2007b, Statistical Physics of Fields, Cambridge: Cambridge University Press, chapters 1-5
6. Pathria R. K. 1996, Statistical Mechanics, Oxford: Butterworth-Heinemann, 2nd edn., chapters 11-13
7. Reichl L. E. 2009, A Modern Course in Statistical Physics, Weinheim: Wiley-VCH, 3rd edn., chapters 4, 5
8. Schwabl F. 2006, Statistical Mechanics, Berlin: Springer, 2nd edn., chapters 5-7
9. Schwabl F. and U. C. Täuber 1995, Phase transitions, renormalization, and scaling, in: Encyclopedia of Applied Physics, ed. G. L. Trigg, Vol. 13, 343-371, New York: VCH
10. Van Vliet C. M. 2010, Equilibrium and Non-equilibrium Statistical Mechanics, New Jersey: World Scientific, 2nd edn., chapters 9, 10
11. Chaikin P. M.and T. C.Lubensky 1995, Principles of Condensed Matter Physics, Cambridge: Cambridge University Press, chapters 7, 8
12. Cowan B. 2005, Topics in Statistical Mechanics, London: Imperial College Press, chapter 5
13. Kardar M. 2007, Statistical Physics of Fields, Cambridge: Cambridge University Press, chapter 9
14. Pathria R. K. 1996, Statistical Mechanics, Oxford: Butterworth-Heinemann, 2nd edn., chapter 14
15. Reichl L. E. 2009, A Modern Course in Statistical Physics, Weinheim: Wiley-VCH, 3rd edn., chapter 7
16. Reif F. 1985, Fundamentals of Statistical and Thermal Physics, Singapore: Mc Graw-Hill, 18th edn., chapter 15
17. Schwabl F. 2006, Statistical Mechanics, Berlin: Springer, 2nd edn., chapter 8
18. Schwabl F. 2007, Quantum Mechanics, Berlin: Springer, 4th edn., chapter 19
19. Schwabl F. 2008, Advanced Quantum Mechanics, Berlin: Springer, 4th edn., chapter 4
20. Van Kampen N. G. 1981, Stochastic Processes in Physics and Chemistry, Amsterdam: North Holland
21. Van Vliet C. M. 2010, Equilibrium and Non-equilibrium Statistical Mechanics, New Jersey: World Scientific, 2nd edn., chapters 16, 18, 19
22. Alba, M., S. Pouget, P. Fouquet, B. Farago, and C. Pappas 2007, Critical scattering and dynamical scaling in an Heisenberg ferromagnet: Neutron spin echo versus renormalization group theory, preprint ar Xiv: Cond-mat/0703702, 1-4
23. Dunlavy M. J. and D. Venus 2005, Critical slowing down in the two-dimensional Ising model measured using ferromagnetic ultrathin films, Phys. Rev. B71, 144406-1-6
24. Frey E. and F. Schwabl 1994, Critical dynamics of magnets, Adv. Phys. 43, 577-683
25. Ferrell R. A., N. Menyhàrd, H. Schmidt, F. Schwabl, and P. Szépfalusy 1967, Dispersion in second sound and anomalous heat conduction at the lambda point of liquid helium, Phys. Rev. Lett. 18, 891-894
26. Ferrell R. A., N.Menyhàrd, H.Schmidt, F.Schwabl, and P.Szépfalusy1968, Fluctuations and lambda phase transition in liquid helium, Ann. Phys. (NY) 47, 565-613
27. Halperin B. I. and P. C. Hohenberg 1969, Scaling laws for dynamic critical phenomena, Phys. Rev. 177, 952-971
28. Halperin B. I., P. C. Hohenberg, and S.-K. Ma 1972, Calculation of dynamic critical properties using Wilson's expansion methods, Phys. Rev. Lett. 29, 1548-1551
29. Halperin B. I., P. C. Hohenberg, and S.-K. Ma 1974, Renormalization-group methods for critical dynamics: I. Recursion relations and effects of energy conservation, Phys. Rev. B10, 139-153
30. Halperin B. I., P. C. Hohenberg, and E. D. Siggia 1974, Renormalization-group calculations of divergent transport coefficients at critical points, Phys. Rev. Lett. 32, 1289-1292
31. Halperin B. I., P. C. Hohenberg, and E. D. Siggia 1976, Renormalization-group treatment of the critical dynamics of superfluid helium, the isotropic antiferromagnet, and the easy-plane ferromagnet, Phys. Rev. B 13, 1299-1328; err. Phys. Rev. B 21, 2044-2045 (1980)
32. Halperin B. I., P. C. Hohenberg, and S.-K. Ma 1976, Renormalization-group methods for critical dynamics: II. Detailed analysis of the relaxational models, Phys. Rev. B 13, 4119-4131
33. Hohenberg P. C. and B. I. Halperin 1977, Theory of dynamic critical phenomena, Rev. Mod Phys. 49, 435-479
34. Kötzler J., M. Kaufmann, G. Nakielski, R. Behr, and W. Assmus 1994, Anisotropic dynamical scaling near the vortex-glass transition of twinned YBa2Cu3O7—s, Phys. Rev. Lett. 72, 2081-2084
35. Ma S.-K. and G. F. Mazenko 1974, Critical dynamics of ferromagnets in 6 — ε dimensions, Phys. Rev. Lett. 33, 1383-1385
36. Ma S.-k.and G. F.Mazenko 1975, Critical dynamics of ferromagnets in 6 — ε dimensions: General discussion and detailed calculation, Phys. Rev. B 11, 4077-4100
37. Michel K. H. and F. Schwabl1970, On the hydrodynamics of antiferromagnets, Z. Phys. 240, 354-367
38. Murtazaev A. K., V. A. Mutailamov, I. K. Kamilov, K. S. Khizriev, and Y. K. Abuev 2003, Investigation on the critical dynamics of real magnetics models by computational physics methods, J. Magn. Mag. Mat. 259, 48-50
39. Schwabl F. and K. H. Michel 1970, Hydrodynamics of Heisenberg ferromagnets, Phys. Rev. B 2, 189-205
40. Amit D. J. 1984, Field Theory, the Renormalization Group, and Critical Phenomena, Singapore: World Scientific, chapters 4, 5
41. Bausch, R., H. K. Janssen, and H. Wagner 1976, Renormalized field theory of critical dynamics, Z. Phys. B 24, 113-127
42. Cardy J. 1996, Scaling and Renormalization in Statistical Physics, Cambridge: Cambridge University Press, chapters 5, 10
43. De Dominicis, C., 1976, Techniques de renormalisation de la théorie des champs et dynamique des phénomènes critiques, J. Phys. (France) Colloq. C1, C247-C253
44. Honkonen J. 2011, Ito and Stratonovich calculuses in stochastic field theory, preprint ar Xiv: 1102.1581
45. Itzykson C. and J. M. Drouffe 1989, Statistical Field Theory, Vol. I, Cambridge: Cambridge University Press, chapter 5
46. Janssen H. K. 1976, On a Lagrangean for classical field dynamics and renormalization group calculations of dynamical critical properties, Z. Phys. B 23, 377-380
47. Janssen H. K. 1979, Field-theoretic methods applied to critical dynamics, in: Dynamical Critical Phenomena and Related Topics, ed. C.P. Enz, Lecture Notes in Physics, Vol. 104, Heidelberg: Springer, 26—17
48. Janssen H. K. 1992, On the renormalized field theory of nonlinear critical relaxation, in: From Phase Transitions to Chaos, eds. G. Györgyi, I. Kondor, L.Sasvári, and T.Tél, Singapore: World Scientific, 68—91
49. Kamenev A. 2011, Field Theory of Non-equilibrium Systems, Cambridge: Cambridge University Press, chapters 4, 8
50. Le Bellac M. 1991, Quantum and Statistical Field Theory, Oxford: Oxford University Press
51. Ma S.-k. 1976, Modern Theory of Critical Phenomena, Reading: Benjamin—Cummings, chapters 9, 14
52. Martin, P. C., E. D. Siggia, and H. A. Rose 1973, Statistical dynamics of classical systems, Phys.Rev. A 8, 423—137
53. Mc Comb W. D. 2004, Renormalization Methods: A Guide for Beginners, Oxford: Oxford University Press, chapter 10
54. Parisi G. 1988, Statistical Field Theory, Redwood City: Addison-Wesley, chapters 5, 6
55. Ramond, P. 1981, Field Theory - a Modern Primer, Reading: Benjamin-Cummings, chapter 4
56. Vasil'ev, A. N. 2004, The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics, Boca Raton: Chapman & Hall/CRC, chapters 1-5
57. Zinn-Justin J. 1993, Quantum Field Theory and Critical Phenomena, Oxford: Clarendon Press, chapter 6
58. Amit D. J. 1984, Field Theory, the Renormalization Group, and Critical Phenomena, Singapore: World Scientific, chapters 6—9
59. Bausch R., H. K. Janssen, and H. Wagner 1976, Renormalized field theory of critical dynamics, Z. Phys. B Cond. Matt. 24, 113-127
60. Brézin E. and D. J. Wallace 1973, Critical behavior of a classical Heisenberg ferromagnet with many degrees of freedom, Phys. Rev. B 7, 1967-1974
61. De Dominicis C., E. Brézin, and J. Zinn-Justin 1975. Field-theoretic techniques and critical dynamics. I. Ginzburg-Landau stochastic models without energy conservation, Phys. Rev. B 12, 4945-4953
62. Folk R. and G. Moser 2006, Critical dynamics: A field theoretical approach, J. Phys. A: Math. Gen. 39, R207-R313
63. Halperin B.I., P. C. Hohenberg, and S.-K. Ma 1972, Calculation of dynamic critical properties using Wilson's expansion methods, Phys. Rev. Lett. 29, 1548-1551
64. Hohenberg P. C. 1967, e>383-386. Existence of long-range order in one and two dimensions, Phys. Rev. 158
65. Hohenberg P. C. and B. I. Halperin 1977, Theory of dynamic critical phenomena, Rev. Mod. Phys. 49, 435-479
66. Itzykson C. and J. M. Drouffe 1989, Statistical Field Theory, Vol. I, Cambridge: Cambridge University Press, chapter 5
67. Janssen H. K. 1979, Field-theoretic methods applied to critical dynamics, in: Dynamical Critical Phenomena and Related Topics, ed. C. P. Enz, Lecture Notes in Physics, Vol. 104, Heidelberg: Springer-Verlag, 26-47
68. Janssen H. K. 1992, On the renormalized field theory of nonlinear critical relaxation, in: From Phase Transitions to Chaos, eds. G.Györgyi, I.Kondor, L.Sasvári, and T.Tél, Singapore: World Scientific, 68-91
69. Kamenev A. 2011, Field Theory of Non-equilibrium Systems, Cambridge: Cambridge University Press, chapter 8
70. Kotzler J., D.Görlitz, R. Dombrowski, and M. Pieper 1994, Goldstone-mode induced susceptibility-singularity extending to Tc of the Heisenberg ferromagnet Eu S, Z. Phys. B Cond. Matt. 94, 9-12
71. Lawrie I. D. 1981, Goldstone modes and coexistence in isotropic N-vector models, J. Phys. A: Math. Gen. 14, 2489-2502
72. Mazenko G. F. 1976, Effect of Nambu-Goldstone modes on wave-number- and frequency-dependent longitudinal correlation functions, Phys. Rev. B 14, 3933-3936
73. Mermin N. D.and H. Wagner 1966, Absence of ferromagnetism or antiferromagnetism in one- or two-dimensional isotropic Heisenberg models, Phys. Rev. Lett. 17, 1133-1136
74. Nelson D. R. 1976, Coexistence-curve singularities in isotropic ferromagnets, Phys. Rev. B 13, 2222-2230
75. Schäfer L. 1978, Static and dynamic correlation functions of a Landau—Ginzburg model near the magnetization curve, Z. Phys. B Cond. Matt. 31, 289-300
76. Täuber, U. C. and F. Schwabl 1992, Critical dynamics of the O(n)-symmetric relaxational models below the transition temperature, Phys. Rev. B 46, 3337-3361
77. Vasil'ev, A.N., 2004, The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics, Boca Raton: Chapman & Hall/CRC, chapter 5
78. Wagner H. 1966, Long-wavelength excitations and the Goldstone theorem in many-particle systems with ‘broken symmetries’, Z. Phys. 195, 273-299
79. Zinn-Justin J. 1993, Quantum Field Theory and Critical Phenomena, Oxford: Clarendon Press, chapters 7, 9, 10, 22-27, 34
80. Bausch R., H. K. Janssen, and H. Wagner 1976, Renormalized field theory of critical dynamics, Z. Phys. B Cond. Matt. 24, 113-127
81. Böni P., D.Görlitz, J.Kötzler, and J. L.Martínez, 1991, Dynamics of longitudinal and transverse fluctuations above Tc in Eu S, Phys. Rev. B 43, 8755-8758
82. Brézin E. and C. De Dominicis 1975, Field-theoretic techniques and critical dynamics. II. Ginzburg—Landau stochastic models with energy conservation, Phys. Rev. B 12, 4954—1962
83. Coldea R., R. A. Cowley, T. G. Perring, D. F. Mc Morrow, and B. Roessli 1998, Critical behavior of the three-dimensional Heisenberg antiferromagnet Rb Mn F 3, Phys. Rev. B 57, 5281-5290
84. De Dominicis C. and L. Peliti 1977, Deviations from dynamic scaling in helium and antiferromagnets, Phys. Rev. Lett. 38, 505-508
85. De Dominicis C. and L. Peliti 1978, Field-theory renormalization and critical dynamics above Tc: Helium, antiferromagnets, and liquid-gas systems, Phys. Rev. B 18, 353-376
86. 4He, Phys. Rev. B 73, 092503-1-4
87. Dohm V. and R. Folk 1980, Nonasymptotic critical dynamics near the superfluid transition in 4He, Z. Phys. B Cond. Matt. 40, 79-93
88. Folk R.and G. Moser 2003, Critical dynamics of model C resolved, Phys. Rev. Lett. 91, 030601-1-4
89. Folk R. and G. Moser 2004, Critical dynamics of stochastic models with energy conservation (model C), Phys. Rev. E 69, 036101-1-18
90. Folk R.and G.Moser 2006, Critical dynamics: A field theoretical approach, J. Phys. A: Math. Gen. 39, R207-R313
91. Freedman R. and G. F. Mazenko 1976, Critical dynamics of isotropic antiferromagnets using renormalization-group methods: T ≥ TN, Phys. Rev. B 13, 4967-4983
92. Frey E. and F. Schwabl 1994, Critical dynamics of magnets, Adv. Phys. 43, 577-683
93. Gross M. and F. Varnik 2012, Critical dynamics of an isothermal compressible nonideal fluid, Phys. Rev. E 86, 061119-1-15
94. Gunton J. D.and K.Kawasaki 1975, Critical transport anomalies in 4 - ∈ and 6 - ∈ dimensions, J. Phys. A: Math. Gen. 8, L9-L12
95. Gunton J. D. and K. Kawasaki 1976, Renormalization group equations in critical dynamics. II. Binary liquids, superfluid helium and magnets, Progr. Theor. Phys. 56, 61-76
96. Halperin B. I., P. C. Hohenberg, and S.-K. Ma 1974, Renormalization-group methods for critical dynamics: I. Recursion relations and effects of energy conservation, Phys. Rev. B 10, 139-153
97. Halperin B. I., P. C. Hohenberg, and S.-K. Ma 1976, Renormalization-group methods for critical dynamics: II. Detailed analysis of the relaxational models, Phys. Rev. B 13, 4119-4131
98. Halperin B. I., P. C. Hohenberg, and E. D. Siggia 1974, Renormalization-group calculations of divergent transport coefficients at critical points, Phys. Rev. Lett. 32, 1289-1292
99. Halperin B. I., P. C. Hohenberg, and E. D. Siggia 1976, Renormalization-group treatment of the critical dynamics of superfluid helium, the isotropic antiferromagnet, and the easy-plane ferromagnet, Phys. Rev. B 13, 1299-1328; err. Phys. Rev. B 21, 2044-2045 (1980)
100. Hohenberg P. C. and B. I. Halperin 1977, Theory of dynamic critical phenomena, Rev. Mod. Phys. 49, 435-479
101. Janssen H. K. 1977, Renormalized field theory for the critical dynamics of O(n)-symmetric systems, Z. Phys. B Cond. Matt. 26, 187-189
102. Janssen H. K. 1979, Field-theoretic methods applied to critical dynamics, in: Dynamical Critical Phenomena and Related Topics, ed. C. P.Enz, Lecture Notes in Physics, Vol. 104, Heidelberg: Springer-Verlag, 26--47
103. Kötzler J. 1988, Universality of the dipolar dynamic crossover of cubic ferromagnets above Tc, Phys. Rev. B 38, 12027-12030
104. Ma S.-K. and G. F. Mazenko 1974, Critical dynamics of ferromagnets in 6 — ∈ dimensions, Phys. Rev. Lett. 33, 1383-1385
105. Ma S.-K. and G. F. Mazenko 1975, Critical dynamics of ferromagnets in 6 — ∈ dimensions: General discussion and detailed calculation, Phys. Rev. B 11, 4077—1100
106. Sasvári L. and P. Szépfalusy1977, Dynamic critical properties of a stochastic n-vector model, Physica 87A, 1-34
107. Sasvári L., F. Schwabl, and P. Szépfalusy 1975, Hydrodynamics of an n-component phonon system, Physica 81A, 108-128
108. Semadeni P., B. Roessli, P. Böni, P. Vorderwisch, and T. Chatterji 2000, Critical fluctuations in the weak itinerant ferromagnet Ni3Al: A comparison between self-consistent renormalization and mode-mode coupling theory, Phys. Rev. B 62, 1083-1088
109. Siggia E. D., B. I. Halperin, and P. C. Hohenberg 1976, Renormalization-group treatment of the critical dynamics of the binary-fluid and gas-liquid transitions, Phys. Rev. B 13, 2110-2123
110. Tsai S.-H. and D. P. Landau 2003, Critical dynamics of the simple-cubic Heisenberg antiferromagnet Rb Mn F3: Extrapolation to q = 0, Phys. Rev. B 67, 104411-1-6
111. Vasil'ev, A. N. 1993, The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics, Boca Raton: Chapman & Hall/CRC, chapter 5
112. Zinn-Justin J. 1993, Quantum Field Theory and Critical Phenomena, Oxford: Clarendon Press, chapter 34
113. Amit D. J. 1984, Field Theory, the Renormalization Group, and Critical Phenomena, Singapore: World Scientific, chapter II 6
114. Ceperley, D. M. 1995, Path integrals in the theory of condensed helium, Rev. Mod. Phys. 67, 279-355
115. Chaikin P. M. and T. C. Lubensky 1995, Principles of Condensed Matter Physics, Cambridge: Cambridge University Press, chapter 9
116. Chakravarty S., B. I. Halperin, and D. R. Nelson 1989, Two-dimensional quantum Heisenberg antiferromagnet at low temperatures, Phys. Rev. B 39, 2344-2371
117. Coldea R., D. A. Tennant, E. M. Wheeler, et al., 2010, Quantum criticality in an Ising chain: Experimental evidence for emergent E8 symmetry, Science 327, 177-180
118. Continentino M. A. 1994, Quantum scaling in many-body systems, Phys. Rep. 239, 179-213
119. Fetter A. L. and J. D. Walecka 1971, Quantum Theory of Many-particle Systems, New York: Mc Graw-Hill, chapter 14
120. Fisher D. S. and M. P. A. Fisher 1988, Onset of superfluidity in random media, Phys. Rev. Lett. 61, 1847-1850
121. Fisher D. S. 1989, Universality, low-temperature properties, and finite-size scaling in quantum antiferromagnets, Phys. Rev. B 39, 11 783-11 792
122. Fisher M. P. A., P. B. Weichman, G. Grinstein, and D. S. Fisher 1989, Boson localization and the superfluid-insulator transition, Phys. Rev. B 40, 546-570
123. Hertz J. A. 1976, Quantum critical phenomena, Phys. Rev. B 14, 1165-1184
124. Kamenev A. 2011, Field Theory of Non-equilibrium Systems, Cambridge: Cambridge University Press, chapters 1, 5, 7-9
125. Meier H. and M. Wallin 2012, Quantum critical dynamics simulation of dirty boson systems, Phys. Rev. Lett. 108, 055701-1-4
126. Negele J. W. and J. Orland 1988, Quantum Many-particle Systems, Redwood City: Addison-Wesley, chapter 1
127. Nelson D. R. 2002, Defects and Geometry in Condensed Matter Physics, Cambridge: Cambridge University Press, chapter 2
128. Onsager L. 1944, Crystal statistics I. a two-dimensional model with an order-disorder transition, Phys. Rev. 65, 117-149
129. Popov V. N. 1987, Functional Integrals and Collective Excitations, Cambridge: Cambridge University Press
130. Sachdev S. 2011, Quantum Phase Transitions, Cambridge: Cambridge University Press, 2nd edn
131. Shankar R. 1994, Renormalization-group approach to interacting fermions, Rev. Mod. Phys. 66, 129-192
132. Schwabl F. 2008, Advanced Quantum Mechanics, Berlin: Springer, 4th edn., chapter 1
133. Sondhi L., S. M. Girvin, J. P. Carini, and D. Shahar 1997, Continuous quantum phase transitions, Rev. Mod. Phys. 69, 315-333
134. Täuber U. C. and D. R. Nelson 1997, Superfluid bosons and flux liquids: Disorder, thermal fluctuations, and finite-size effects, Phys. Rep. 289, 157-233
135. Van Vliet C. M. 2010, Equilibrium and Non-equilibrium Statistical Mechanics, New Jersey: World Scientific, 2nd edn., chapter 9
136. Vojta M. 2003, Quantum phase transitions, Rep. Prog. Phys. 66, 2069-2110
137. Vojta T. 2008, Computing quantum phase transitions, Reviews in Computational Chemistry 26, 167-221
138. Young A. P. 1994, Bosons in a random potential, in: Fundamental Problems in Statistical Mechanics, Vol. VIII, eds. H. van Beijerenand M. H. Ernst, 27-47, Amsterdam: Elsevier Science
139. Akkineni V. K. and U. C. Täuber 2004, Non-equilibrium critical dynamics of the relaxational models C and D, Phys. Rev. E 69, 036113-1-25
140. Biroli G. 2005, A crash course on ageing, J. Stat. Mech., P05014-1-19
141. Bray A. J. 1993, Domain growth and coarsening, in: Phase Transitions and Relaxation in Systems with Competing Energy Scales, eds. T. Risteand D. Sherrington, NATO ASI Series C 415, Dordrecht: Kluwer Academic, 405—436
142. Bray A. J. 1994, Theory of phase ordering kinetics, Adv. Phys. 43, 357—459
143. Bray A. J. and A. D. Rutenberg 1994, Growth laws for phase ordering, Phys. Rev. E 49, R27-R30
144. Calabrese P. and A. Gambassi 2005, Ageing properties of critical systems, J. Phys. A: Math. Gen. 38, R133-R193
145. Diehl H. W. 1986, Field-theoretic approach to critical behaviour at surfaces, in: Phase Transitions and Critical Phenomena, Vol. 10, eds. C. Domband J. L. Lebowitz, London: Academic Press, 75-267
146. Henkel M. and M. Pleimling 2010, Non-equilibrium Phase Transitions, Vol. 2: Ageing and Dynamical Scaling Far from Equilibrium, Dordrecht: Springer
147. Janssen H. K. 1992, On the renormalized field theory of nonlinear critical relaxation, in: From Phase Transitions to Chaos, eds. G. Györgyi, I. Kondor, L. Sasvári, and T. Tél, Singapore: World Scientific, 68-91
148. Janssen H. K., B. Schaub, and B. Schmittmann 1989, New universal short-time scaling behaviour of critical relaxation processes, Z. Phys. B Cond. Matt. 73, 539-549
149. Majumdar S. N., A. J. Bray, S. J. Cornell, and C. Sire 1996, Global persistence exponent for nonequilibrium critical dynamics, Phys. Rev. Lett. 77, 3704-3707
150. Mallick K., M. Moshe, and H. Orland 2011, A field-theoretic approach to non-equilibrium work identities, J. Phys. A: Math. Theor. 44, 095002-1-19
151. Oerding K. and H. K. Janssen 1993a, Non-equilibrium critical relaxation with coupling to a conserved quantity, J. Phys. A: Math. Gen. 26, 3369-3381
152. Oerding K. and H. K. Janssen 1993b, Non-equilibrium critical relaxation with reversible mode coupling, J. Phys. A: Math. Gen. 26, 5295-5303
153. Oerding K., S. J. Cornell, and A. J. Bray 1997, Non-Markovian persistence and nonequilibrium critical dynamics, Phys. Rev. E 56, R25-R28
154. Santos J. E. and U. C. Täuber 2002, Non-equilibrium behavior at a liquid-gas critical point, Eur. Phys. J. B 28, 423-440
155. Schmittmann B. 1993, Fixed point Hamiltonian for a randomly driven diffusive system, Europhys. Lett. 24, 109-114
156. Schmittmann B. and R. K. P. Zia 1991, Critical properties of a randomly driven diffusive system, Phys. Rev. Lett. 66, 357-360
157. Täuber U. C., V. K. Akkineni, and J. E. Santos 2002, Effects of violating detailed balance on critical dynamics, Phys. Rev. Lett. 88, 045702-1-4
158. Täuber U. C. and Z. Rácz 1997, Critical behavior of O(n)-symmetric systems with reversible mode-coupling terms: Stability against detailed-balance violation, Phys. Rev. E 55, 4120-4136
159. Täuber U. C., J. E. Santos, and Z. Rácz 1999, Non-equilibrium critical behavior of O(n)-symmetric systems: Effect of reversible mode-coupling terms and dynamical anisotropy, Eur. Phys. J. B 7, 309-330; err. Eur. Phys. J. 9, 567-568
160. Alcaraz F. C., M. Droz, M. Henkel, and V. Rittenberg 1994, Reaction-diffusion processes, critical dynamics, and quantum chains, Ann. Phys. (NY) 230, 250-302
161. Allam J., M. T. Sajjad, R. Sutton, et al., 2013, Measurement of a reaction-diffusion crossover in exciton-exciton recombination inside carbon nanotubes using femto-second optical absorption, Phys. Rev. Lett. 111, 197401-1-5
162. Andreanov A., G. Biroli, J.-P. Bouchaud, and A. Lefèvre 2006, Field theories and exact stochastic equations for interacting particle systems, Phys. Rev. E 74, 030101-1-4
163. Cardy J. 1997, Renormalisation group approach to reaction-diffusion problems, in: Proceedings of Mathematical Beauty of Physics, ed. J.-B. Zuber, Adv. Ser. in Math. Phys. 24, 113-128
164. Cardy J. 2008, Reaction-diffusion processes, in: Non-equilibrium Statistical Mechanics and Turbulence, London Math. Soc. Lecture Note Ser. 355, Cambridge: Cambridge University Press, 108-161
165. Deloubriére O., H. J. Hilhorst, and U. C. Täuber 2002, Multispecies pair annihilation reactions, Phys. Rev. Lett. 89, 250601-1-4
166. Dobramysl U. and U. C. Täuber 2008, Spatial variability enhances species fitness in stochastic predator-prey interactions, Phys. Rev. Lett. l0l, 258102-1-4
167. Dobramysl U. and U. C. Täuber 2013, Environmental versus demographic variability in two-species predator-prey models, Phys. Rev. Lett. 110, 048105-1-5
168. Doi M. 1976a, Second quantization representation for classical many-particle systems, J. Phys. A: Math. Gen. 9, 1465-1477
169. Doi M. 1976b, Stochastic theory of diffusion-controlled reactions, J. Phys. A: Math. Gen. 9, 1479-1495
170. Dornic I., H. Chaté, and M. A. Muñoz 2005, Integration of Langevin equations with multiplicative noise and the viability of field theories for absorbing phase transitions, Phys. Rev. Lett. 94, 100601-1-4
171. Elgart V. and A. Kamenev 2004, Rare event statistics in reaction-diffusion systems, Phys. Rev. E 70, 041106-1-12
172. Elgart V. and A. Kamenev 2006, Classification of phase transitions in reaction-diffusion models, Phys. Rev. E 74, 041101-1-16
173. Grassberger P. and M. Scheunert 1980, Fock-space methods for identical classical objects, Fortschr. Phys. 28, 547-578
174. Haken H. 1983, Synergetics - an Introduction, Berlin: Springer, chapters 9, 10
175. Henkel M., E. Orlandini, and J. Santos 1997, Reaction-diffusion processes from equivalent integrable quantum chains, Ann. Phys. (NY) 259, 163-231
176. Hilhorst H. J., O. Deloubrière, M. J. Washenberger, and U. C. Täuber 2004, Segregation in diffusion-limited multispecies pair annihilation, J. Phys. A: Math. Gen. 37, 7063-7093
177. Hilhorst H. J., M. J. Washenberger, and U. C. Täuber 2004, Symmetry and species segregation in diffusion-limited pair annihilation, J. Stat. Mech. P10002-1-19
178. Hinrichsen H. and M. Howard 1999, A model for anomalous directed percolation, Eur. Phys. J. B 7, 635-644
179. Hofbauer J. and K. Sigmund 1998, Evolutionary Games and Population Dynamics, Cambridge: Cambridge University Press
180. Janssen H. K. 2001, Directed percolation with colors and flavors, J. Stat. Phys. 103, 801-839
181. Kopelman R. 1988, Fractal reaction kinetics, Science 241, 1620-1626
182. Krapivsky P. K., S. Redner, and E. Ben-Naim 2010, A Kinetic View of Statistical Physics, Cambridge: Cambridge University Press, chapters 12, 13
183. Kroon R., H. Fleurent, and R. Sprik 1993, Diffusion-limited exciton fusion reaction in one-dimensional tetramethylammonium manganese trichloride (TMMC), Phys. Rev. E 47, 2462-2472
184. Kuzovkov V. and E. Kotomin 1988, Kinetics of bimolecular reactions in condensed media: Critical phenomena and microscopic self-organisation, Rep. Prog. Phys. 51, 1479-1523
185. Lee B. P. 1994, Renormalization group calculation for the reaction k A → ∅, J. Phys. A: Math. Gen. 27, 2633-2652
186. Lee B. P. and J. Cardy 1994, Scaling of reaction zones in the A + B → ∅ diffusion-limited reaction, Phys. Rev. E 50, R3287-R3290
187. Lee B. P. and J. Cardy 1995, Renormalization group study of the A + B → ∅ diffusion-limited reaction, J. Stat. Phys. 80, 971-1007
188. Mattis D. C. and M. L. Glasser 1998, The uses of quantum field theory in diffusion-limited reactions, Rev. Mod. Phys. 70, 979-1002
189. Mobilia M., I. T. Georgiev, and U. C. Täuber 2007, Phase transitions and spatio-temporal fluctuations in stochastic lattice Lotka-Volterra models, J. Stat. Phys. 128, 447-483. [Various Monte Carlo simulation movies are accessible at http://www. phys.vt. edu/~tauber/Predator Prey/movies/]
190. Monson E. and R. Kopelman 2004, Nonclassical kinetics of an elementary A + B → C reaction-diffusion system showing effects of a speckled initial reactant distribution and eventual self-segregation: Experiments, Phys. Rev. E 69, 021103-1-12
191. Murray J. D. 2002, Mathematical Biology, Vols. I and II, New York: Springer, 3rd edn
192. Ovchinnikov A. A., S. F. Timashev, and A. A. Belyy 1989, Kinetics of Diffusion-controlled Chemical Processes, New York: Nova Science
193. Peliti L. 1985, Path integral approach to birth-death processes on a lattice, J. Phys. (Paris) 46, 1469-1482
194. Peliti L. 1986, Renormalisation of fluctuation effects in the A + A → A reaction, J. Phys. A: Math. Gen. 19, L365-367
195. Rey P.-A. and J. Cardy 1999, Asymptotic form of the approach to equilibrium in reversible recombination reactions, J. Phys. A: Math. Gen. 32, 1585-1603
196. Russo R. M., E. J. Mele, C. L. Kane, I. V. Rubtsov, M. J. Therien, and D. E. Luzzi 2006, One-dimensional diffusion-limited relaxation of photoexcitations in suspensions of single-walled carbon nanotubes, Phys. Rev. B 74, 041405(R)-1-4
197. Schütz, G. M. 2001, Exactly solvable models for many-body systems far from equilibrium, in: Phase Transitions and Critical Phenomena, Vol. 19, eds. C. Domband J. L. Lebowitz, London: Academic Press
198. Stinchcombe R. 2001, Stochastic nonequilibrium systems, Adv. Phys. 50, 431-196
199. Täuber U. C. 2012, Population oscillations in spatial stochastic Lotka-Volterra models: A field-theoretic perturbational analysis, J. Phys. A: Math. Theor. 45, 405002-1-34
200. Täuber U. C., M. J. Howard, and B. P. Vollmayr-Lee 2005, Applications of field-theoretic renormalization group methods to reaction-diffusion problems, J. Phys. A: Math. Gen. 38, R79-R131
201. Toussaint D. and F. Wilczek 1983, Particle-antiparticle annihilation in diffusive motion, J. Chem. Phys. 78, 2642-2647
202. van Wijland F. 2001, Field theory for reaction-diffusion processes with hard-core particles, Phys. Rev. E 63, 022101-1-4
203. Vernon D. 2003, Long range hops and the pair annihilation reaction A + A → ∅: Renormalization group and simulation, Phys. Rev. E 68, 041103-1-4
204. Washenberger M. J., M. Mobilia, and U. C. Täuber 2007, Influence of local carrying capacity restrictions on stochastic predator-prey models, J. Phys. Cond. Matt. 19, 065139-1-14
205. Al Hammal O., H. Chaté, I. Domic, and M. A.Muñoz 2005, Langevin description of critical phenomena with two symmetric absorbing states, Phys. Rev. Lett. 94, 230601-1-4
206. Benitez F. and N. Wschebor 2012, Branching-rate expansion around annihilating random walks, Phys. Rev. E 86, 010104(R)-1-5
207. Benitez F. and N. Wschebor 2013, Branching and annihilating random walks: Exact results at low branching rate, Phys. Rev. E 87, 052132-1-18
208. Benzoni J. and J. L. Cardy 1984, A hyperscaling relation in site-bond correlated percolation, J. Phys. A: Math. Gen. 17, 179-196
209. Canet L., H. Chaté, and B. Delamotte 2004, Quantitative phase diagrams of branching and annihilating random walks, Phys. Rev. Lett. 92, 255703-1-4
210. Canet L., H. Chaté, B. Delamotte, I. Dornic, and M. A. Muñoz 2005, Nonperturbative fixed point in a nonequilibrium phase transition, Phys. Rev. Lett. 95, 100601, 1-4
211. Canet L., B. Delamotte, O. Deloubrière, and N. Wschebor 2004, Nonperturbative renormalization-group study of reaction-diffusion processes, Phys. Rev. Lett. 92, 195703-1-4
212. Cardy J. L. and P. Grassberger 1985, Epidemic models and percolation, J. Phys. A: Math. Gen. 18, L267-L272
213. Cardy J. L. and R. L. Sugar 1980, Directed percolation and Reggeon field theory, J. Phys. A: Math. Gen. 13, L423-L427
214. Cardy J. L. and U. C. Täuber1996, Theory of branching and annihilating random walks, Phys. Rev. Lett. 77, 4780-1783
215. Cardy J. L. and U. C. Täuber 1998, Field theory of branching and annihilating random walks, J. Stat. Phys. 90, 1-56
216. Elgart V. and A. Kamenev 2006, Classification of phase transitions in reaction-diffusion models, Phys. Rev. E 74, 041101-1-16
217. Frey E., U. C. Täuber, and F. Schwabl 1994a, Crossover from self-similar to self-affine structures in percolation, Europhys. Lett. 26, 413-418
218. Frey E., U. C. Täuber, and F. Schwabl 1994b, Crossover from isotropic to directed percolation, Phys. Rev. E 49, 5058-5072
219. Goldschmidt Y. Y., H. Hinrichsen, M. Howard, and U. C. Tauber 1999, Nonequilibrium critical behavior in unidirectionally coupled stochastic processes, Phys. Rev. E 59, 6381-6408
220. Grassberger P. 1982, On phase transitions in Schlögl's second model, Z. Phys. B Cond. Matt. 47, 365-374
221. Grassberger P. 1983, On the critical behavior of the general epidemic process and dynamical percolation, Math. Biosci. 63, 157-172
222. Grassberger P., F. Krause, and T. von der Twer 1984, A new type of kinetic critical phenomenon, J. Phys. A: Math. Gen. 17, L105-110
223. Henkel M. and H. Hinrichsen 2004, The non-equilibrium phase transition of the pair-contact process with diffusion, J. Phys. A: Math. Gen. 37, R117-R159
224. Henkel M., H. Hinrichsen, and S. Lübeck 2008, Non-equilibrium Phase Transitions, Vol. 1: Absorbing phase transitions, Dordrecht: Springer
225. Hinrichsen H. 2001, Nonequilibrium critical phenomena and phase transitions into absorbing states, Adv. Phys. 49, 815-958
226. Hinrichsen H. and M. Howard 1999, A model for anomalous directed percolation, Eur. Phys. J. B 7, 635-643
227. Hooyberghs J., F. Iglói, and C. Vanderzande 2003, Strong disorder fixed point in absorbing-state phase transitions, Phys. Rev. Lett. 90, 100601-1-4
228. Hooyberghs J., F. Iglói, and C. Vanderzande 2004, Absorbing state phase transitions with quenched disorder, Phys. Rev. E 69, 066140-1-16
229. Howard M. J. and U. C. Täuber 1997, ‘Real’ vs ‘imaginary’ noise in diffusion-limited reactions, J. Phys. A: Math. Gen. 30, 7721-7731
230. Janssen H. K. 1981, On the nonequilibrium phase transition in reaction-diffusion systems with an absorbing stationary state, Z. Phys. B Cond. Matt. 42, 151-154
231. Janssen H. K. 1985, Renormalized field theory of dynamical percolation, Z. Phys. B Cond. Matt. 58, 311-317
232. Janssen H. K. 1997a, Spontaneous symmetry breaking in directed percolation with many colors: Differentiation of species in the Gribov process, Phys. Rev. Lett. 78, 2890-2893
233. Janssen H. K. 1997b, Renormalized field theory of the Gribov process with quenched disorder, Phys. Rev. E 55, 6253-6256
234. Janssen H. K., K. Oerding, F. van Wijland, and H. J. Hilhorst 1999, Lévy-flight spreading of epidemic processes leading to percolating clusters, Eur. Phys. J. B 7, 137-147
235. Janssen H. K. and O. Stenull 2000, Random resistor-diode networks and the crossover from isotropic to directed percolation, Phys. Rev. E 62, 3173-3185
236. Janssen H. K. 2001, Directed percolation with colors and flavors, J. Stat. Phys. 103, 801-839
237. Janssen H. K., F. van Wijland, O. Deloubrière, and U. C. Täuber 2004, Pair contact process with diffusion: Failure of master equation field theory, Phys. Rev. E 70, 056114-1-7
238. Janssen H. K. and U. C. Tauber 2005, The field theory approach to percolation processes, Ann. Phys. (NY) 315, 147-192
239. Janssen H. K. and O. Stenull 2008, Field theory of directed percolation with long-range spreading, Phys. Rev. E 78, 061117-1-12
240. Kinzel W. 1983, Directed percolation, in: Percolation Structures and Processes, eds. G. Deutsch, R. Zallen, and J. Adler, Bristol: Adam Hilger
241. Kockelkoren J. and H. Chaté2003, Absorbing phase transitions of branching-annihilating random walks, Phys. Rev. Lett. 90, 125701-1-4
242. Kree R., B. Schaub, and B. Schmittmann 1989, Effects of pollution on critical population dynamics, Phys. Rev. A 39, 2214-2221
243. Mobilia M., I. T. Georgiev, and U. C. Täuber 2007, Phase transitions and spatio-temporal fluctuations in stochastic lattice Lotka-Volterra models, J. Stat. Phys. 128, 447-483
244. Moshe M. 1978, Recent developments in Reggeon field theory, Phys. Rep. 37, 255-345
245. Murray J. D. 2002, Mathematical Biology, Vols. I and II, New York: Springer, 3rd edn
246. Obukhov S. P. 1980, The problem of directed percolation, Physica A 101, 145-155
247. Ódor G. 2004, Phase transition universality classes of classical, nonequilibrium systems, Rev. Mod. Phys. 76, 663-724
248. Oerding K., F. van Wijland, J.-P. Leroy, and H. J. Hilhorst 2000, Fluctuation-induced first-order transition in a nonequilibrium steady state, J. Stat. Phys. 99, 1365-1395
249. Rupp P., R. Richter, and I. Rehberg 2003, Critical exponents of directed percolation measured in spatiotemporal intermittency, Phys. Rev. E 67, 036209-1-7
250. Stauffer D. and A. Aharony 1994, Introduction to Percolation Theory, London: Taylor and Francis, 2nd edn
251. Takayasu H. and A. Yu. Tretyakov 1992, Extinction, survival, and dynamical phase transition of branching annihilating random walk, Phys. Rev. Lett. 68, 3060-3063
252. Takeuchi K. A., M. Kuroda, H. Chaté, and M. Sano 2007, Directed percolation criticality in turbulent liquid crystals, Phys. Rev. Lett. 99, 234503-1-5
253. Takeuchi K. A., M. Kuroda, H. Chaté, and M. Sano 2009, Experimental realization of directed percolation criticality in turbulent liquid crystals, Phys. Rev. E 80, 051116-1-12
254. Täuber U. C. 2012, Population oscillations in spatial stochastic Lotka-Volterra models: A field-theoretic perturbational analysis, J. Phys. A: Math. Theor. 45, 405002-1-34
255. Täuber U. C., M. J. Howard, and H. Hinrichsen 1998, Multicritical behavior in coupled directed percolation processes, Phys. Rev. Lett. 80, 2165-2168
256. Täuber U. C., M. J. Howard, and B. P. Vollmayr-Lee 2005, Applications of field-theoretic renormalization group methods to reaction-diffusion problems, J. Phys. A: Math. Gen. 38, R79-R131
257. van Wijland F., K. Oerding, and H. J. Hilhorst 1998, Wilson renormalization of a reaction-diffusion process, Physica A 251, 179-201
258. Vernon D. and M. Howard 2001, Branching and annihilating Lévy flights, Phys. Rev. E 63, 041116-1-8
259. Barabási, A.-L. and H. E. Stanley 1995, Fractal Concepts in Surface Growth, Cambridge: Cambridge University Press
260. Bertini L., A. De Sole, D. Gabrielli, G. Jona-Lasinio, and C. Landim 2005, Current fluctuations in stochastic lattice gases, Phys. Rev. Lett. 94, 030601-1-1
261. Canet L., H. Chaté, B. Delamotte, and N. Wschebor 2010, Nonperturbative renormalization group for the Kardar-Parisi-Zhang equation, Phys. Rev. Lett. 104, 150601-1-4
262. Canet L., H. Chaté, B. Delamotte, and N. Wschebor 2011, Nonperturbative renormalization group for the Kardar-Parisi-Zhang equation: General framework and first applications, Phys. Rev. E 84, 061128-1-18
263. Caracciolo S., A. Gambassi, M. Gubinelli, and A. Pelissetto 2004a, Finite-size scaling in the driven lattice gas, J. Stat. Phys. 115, 281-322
264. Caracciolo S., A. Gambassi, M. Gubinelli, and A. Pelissetto 2004b, Comment on “Dynamic behavior of anisotropic nonequilibrium driving lattice gases”, Phys. Rev. Lett. 92, 029601-1
265. Chayes J. T., L. Chayes, D. S. Fisher, and T. Spencer 1986, Finite-size scaling and correlation lengths for disordered systems, Phys. Rev. Lett. 57, 2999-3002
266. Daquila G. L. 2011, Monte Carlo Analysis of Non-equilibrium Steady States and Relaxation Kinetics in Driven Lattice Gases, Ph. D. dissertation, Virginia Polytechnic Institute and State University
267. Daquila G. L. and U. C. Täuber 2011, Slow relaxation and aging kinetics for the driven lattice gas, Phys. Rev. E 83, 051107-1-11
268. Daquila G. L. and U. C. Täuber 2012, Nonequilibrium relaxation and critical aging for driven Ising lattice gases, Phys. Rev. Lett. 108, 110602-1-5
269. Derrida B. 1998, An exactly soluble non-equilibrium system: The asymmetric simple exclusion process, Phys. Rep. 301, 65-83
270. Derrida B. and C. Appert 1999, Universal large deviation function of the Kardar-Parisi-Zhang equation in one dimension, J. Stat. Phys. 94, 1-30
271. Derrida B. and J. L. Lebowitz 1998, Exact large deviation function in the asymmetric exclusion process, Phys. Rev. Lett. 80, 209-213
272. Doty C. A. and J. M. Kosterlitz 1992, Exact dynamical exponent at the Kardar-Parisi-Zhang roughening transition, Phys. Rev. Lett. 69, 1979-1981
273. Edwards S. F. and D. R. Wilkinson 1982, The surface statistics of a granular aggregate, Proc. R. Soc. London A 381, 17-31
274. Fisher D. S. and D. A. Huse 1991, Directed paths in a random potential, Phys. Rev. B 43, 10 728-10 742
275. Fogedby H. C., A. B. Eriksson, and L. V. Mikheev 1995, Continuum limit, Galilean invariance, and solitons in the quantum equivalent of the noisy Burgers equation, Phys. Rev. Lett. 75, 1883-1886
276. Forster D., D. R. Nelson, and M. J. Stephen 1977, Large-distance and long-time properties of a randomly stirred fluid, Phys. Rev. A 16, 732-749
277. Frey E. and U. C. Täuber 1994, Two-loop renormalization-group analysis of the Burgers-Kardar-Parisi-Zhang equation, Phys. Rev. E 50, 1024-1045
278. Frey E., U. C. Täuber, and T. Hwa 1996, Mode-coupling and renormalization group results for the noisy Burgers equation, Phys. Rev. E 53, 4424-4438
279. Halpin-Healy T. and Y.-C. Zhang 1995, Kinetic roughening phenomena, stochastic growth, directed polymers and all that, Phys. Rep. 254, 215-414
280. Henkel M. and M. Pleimling 2010, Nonequilibrium Phase Transitions, Vol. 2: Ageing and Dynamical Scaling Far from Equilibrium, Dordrecht: Springer
281. Hwa T. and D. S. Fisher 1994, Anomalous fluctuations of directed polymers in random media, Phys. Rev. B49, 3136-3154
282. Janssen H. K., 1997, On critical exponents and the renormalization of the coupling constant in growth models with surface diffusion, Phys. Rev. Lett. 78, 1082-1085
283. Janssen H. K. and B. Schmittmann 1986a, Field theory of long time behaviour in driven diffusive systems, Z. Phys. B Cond. Matt. 63, 517-520
284. Janssen H. K. and B. Schmittmann 1986b, Field theory of critical behaviour in driven diffusive systems, Z. Phys. B Cond. Matt. 64, 503-514
285. Janssen H. K., U. C. Täuber, and E. Frey 1999, Exact results for the Kardar-Parisi-Zhang equation with spatially correlated noise, Eur. Phys. J. B 9, 491-511
286. Kardar M., G. Parisi, and Y.-C. Zhang 1986, Dynamic scaling of growing interfaces, Phys. Rev. Lett. 56, 889-892
287. Kardar M. and Y.-C. Zhang 1987, Scaling of directed polymers in random media, Phys. Rev. Lett. 58, 2087-2090
288. Katz S., J. L. Lebowitz, and H. Spohn 1983, Phase transitions in stationary nonequilibrium states of model lattice systems, Phys. Rev. B 28, 1655-1658
289. Katz S., J. L. Lebowitz, and H. Spohn 1984, Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors, J. Stat. Phys. 34, 497-537
290. Kloss T., L. Canet, and N. Wschebor 2012, Nonperturbative renormalization group for the Kardar-Parisi-Zhang equation: Scaling functions and amplitude ratios in 1 + 1, 2 + 1, and 3 + 1 dimensions, Phys. Rev. E 86, 051124-1-19
291. Krech M. 1997, Short-time scaling behavior of growing interfaces, Phys. Rev. E 55, 668-679; err. Phys. Rev. E 56, 1285
292. Krug J. 1997, Origins of scale invariance in growth processes, Adv. Phys. 46, 139-282
293. Krug J. and H. Spohn 1992, Kinetic roughening of growing surfaces, in: Solids Far from Equilibrium, ed. C. Godrèche, Cambridge: Cambridge University Press, 479-582
294. Lässig, M. 1995, On the renormalization of the Kardar-Parisi-Zhang equation, Nucl. Phys. B 448, 559-574
295. Lässig M. 1998, On growth, disorder, and field theory, J. Phys. Cond. Matt. 10, 9905-9950
296. Lecomte V., U. C. Täuber, and F. van Wijland 2007, Current distribution in systems with anomalous diffusion: Renormalization group approach, J. Phys. A: Math. Theor. 40, 1447-1465
297. Leung K.-t. 1991, Finite-size scaling of driven diffusive systems: Theory and Monte Carlo studies, Phys. Rev. Lett. 66, 453-456
298. Leung, K.-t. and J. L. Cardy 1986, Field theory of critical behavior in a driven diffusive system, J. Stat. Phys. 44, 567-588
299. Marro J. and R. Dickman 1999, Nonequilibrium Phase Transitions in Lattice Models, Cambridge: Cambridge University Press
300. Myllys M., J. Maunuksela, M. Alava, T. Ala-Nissila, J. Merikoski, and J. Timonen 2001, Kinetic roughening in slow combustion of paper, Phys. Rev. E 64, 036101-1-12
301. Nattermann T. and S. Scheidl 2000, Vortex-glass phases in type-II superconductors, Adv. Phys. 49, 607-704
302. Schilardi P. L., O. Azzaroni, R. C. Salvarezza, and A. J. Arvia 1999, Validity of the Kardar-Parisi-Zhang equation in the asymptotic limit of metal electrodeposition, Phys. Rev. B 59, 4638-4641
303. Schmittmann B. and R. K. P. Zia 1995, Statistical mechanics of driven diffusive systems, in: Phase Transitions and Critical Phenomena, Vol. 17, eds. C. Domband J. L. Lebowitz, London: Academic Press
304. Schütz, G. M. 2001, Exactly solvable models for many-body systems far from equilibrium, in: Phase Transitions and Critical Phenomena, Vol. 19, eds. C. Domband J. L. Lebowitz, London: Academic Press
305. Sun T., H. Guo, and M. Grant 1989, Dynamics of driven interfaces with a conservation law, Phys. Rev. A 40, 6763-6766
306. Takeuchi K. A. and M. Sano 2010, Universal fluctuations of growing interfaces: Evidence in turbulent liquid crystals, Phys. Rev. Lett. 104, 230601-1-4
307. Takeuchi K. A. and M. Sano 2012, Evidence for geometry-dependent universal fluctuations of the Kardar-Parisi-Zhang interfaces in liquid-crystal turbulence, J. Stat. Phys. 147, 853-890
308. Wang J.-S. 1996, Anisotropic finite-size scaling analysis of a two-dimensional driven diffusive system, J. Stat. Phys. 82, 1409-1427
309. Wiese K. J. 1998, On the perturbation expansion of the KPZ equation, J. Stat. Phys. 93, 143-154
310. Wolf D. E. and J. Villain 1990, Growth with surface diffusion, Europhys. Lett. 13, 389-394