Focus on some nonequilibrium issues

Chaos, Solitons and Fractals

Volumn 64, Issue 1, 2014, Pages 2-15

  Colangeli, Matteo ^a   Rondoni, Lamberto ^b,c   Verderosa, Antonella ^a  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

^b POLITECNICO DI TORINO   (Italy)

^c SEZIONE DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES;

FLUCTUATION RELATIONS; LARGE DEVIATION TECHNIQUE; MATHEMATICAL FRAMEWORKS; MIXING CONDITIONS; NON EQUILIBRIUM; NON-EQUILIBRIUM PHENOMENA; RESPONSE THEORY; STOCHASTIC DIFFUSION PROCESS;

STOCHASTIC SYSTEMS;

EID: 84900559827     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2014.03.002     Document Type: Article

References (54)

1. M. Colangeli From Kinetic Models to Hydrodynamics. Some Novel Results 2013 Springer
2. R. Kubo Statistical-mechanical theory of irreversible processes: I. General theory and simple applications to magnetic and conduction problems J. Phys. Soc. Jpn. 12 1957 570
3. A.I. Khinchin Mathematical Foundations of Statistical Mechanics 1949 Dover Publications New York
4. V. Lucarini, and M. Colangeli Beyond the linear fluctuation-dissipation theorem: the role of causality J. Stat. Mech. 2012 P05013
5. U. Marini Bettolo Marconi, A. Puglisi, L. Rondoni, and A. Vulpiani Fluctuation-dissipation: response theory in statistical physics Phys. Rep. 461 2008 111
6. G. Boffetta, G. Lacorata, S. Musacchio, and A. Vulpiani Relaxation of finite perturbations: beyond the fluctuation-response relation Chaos 13 2003 806
7. D. Ruelle General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium Phys. Lett. A 245 1998 220
8. M. Colangeli, L. Rondoni, and A. Vulpiani Fluctuation-dissipation relation for chaotic non-Hamiltonian systems J. Stat. Mech. 2012 L04002
9. D.J. Evans, and L. Rondoni Comments on the entropy of nonequilibrium steady states J. Stat. Phys. 109 2002 895
10. F. Bonetto, A. Kupiainen, and J.L. Lebowitz Absolute continuity of projected SRB measures of coupled Arnold cat map lattices Ergod. Theory Dyn. Syst. 25 2005 59
11. B. Cessac, and J.-A. Sepulchre Linear response, susceptibility and resonances in chaotic toy models Physica D 225 2007 13
12. L. Onsager, and S. Machlup Fluctuations and irreversible processes Phys. Rev. 91 1953 1505
13. S. Machlup, and L. Onsager Fluctuations and irreversible process. II. Systems with kinetic energy Phys. Rev. 91 1953 1512
14. L. Bertini, A.D. Sole, D. Gabrielli, G. Jona-Lasinio, and C. Landim Macroscopic fluctuation theory for stationary non-equilibrium states J. Stat. Phys. 107 2002 635
15. A. Gamba, and L. Rondoni Current fluctuations in the nonequilibrium Lorentz gas Physica A 340 2004 274
16. C. Giberti, L. Rondoni, and C. Vernia Asymmetric fluctuation-relaxation paths in FPU models Physica A 365 2006 229
17. C. Paneni, D.J. Searles, and L. Rondoni Temporal asymmetry of fluctuations in nonequilibrium states J. Chem. Phys. 124 2006 114109
18. C. Paneni, D.J. Searles, and L. Rondoni Temporal asymmetry of fluctuations in nonequilibrium steady states: links with correlation functions and nonlinear response J. Chem. Phys. 128 2008 164515
19. D.J. Evans, E.G.D. Cohen, and G.P. Morriss Probability of second law violations in shearing steady flows Phys. Rev. Lett. 71 1993 2401
20. G. Gallavotti, and E.G.D. Cohen Dynamical ensembles in nonequilibrium statistical mechanics Phys. Rev. Lett. 94 1995 2694
21. G. Gallavotti, and E.G.D. Cohen Dynamical ensembles in stationary states J. Stat. Phys. 80 1995 931
22. G. Gallavotti Reversible Anosov diffeomorphisms, large deviations Math. Phys. Electron. J. 1 1995 1
23. G. Gallavotti, Fluctuation theorem revisited. , 2004.
24. J. Kurchan Fluctuation theorem for stochastic dynamics J. Phys. A 31 1998 3719
25. J.L. Lebowitz, and H. Spohn A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics J. Stat. Phys. 95 1999 333
26. C. Maes it The fluctuation theorem as a Gibbs property J. Stat. Phys. 95 1999 367
27. L. Rondoni, and C. Mejía-Monasterio Fluctuations in nonequilibrium statistical mechanics: models, mathematical theory, physical mechanisms Nonlinearity 20 2007 R1
28. R. Chetrite, and K. Gawedzki Fluctuation relations for diffusion processes Commun. Math. Phys. 282 2008 469
29. Ya. G. Sinai Lectures in ergodic theory Lecture Notes in Mathematics 1977 Princeton University Press
30. D.J. Evans, G.D. Cohen, D.J. Searles, and F. Bonetto Note on the Kaplan-Yorke dimension and linear transport coefficients J. Stat. Phys. 101 2000 17
31. D.J. Evans, D.J. Searles, and L. Rondoni On the application of the Gallavotti-Cohen fluctuation relation to thermostatted steady states near equilibrium Phys. Rev. E 71 2005 056120
32. D.J. Evans, and D.J. Searles Equilibrium microstates which generate second law violating steady states Phys. Rev. E 50 1994 1645
33. D.J. Evans, and D.J. Searles Steady sates, invariant measures, response theory Phys. Rev. E 52 1995 5839
34. D.J. Evans, D.J. Searles, and L. Rondoni The steady state fluctuation relation for the dissipation function J. Stat. Phys. 2007
35. D.J. Searles, B.M. Johnston, D.J. Evans, and L. Rondoni Time reversibility, correlation decay and the steady state fluctuation relation for dissipation Entropy 15 2013 1503
36. D. Ruelle Nonequilibrium statistical mechanics near equilibrium: computing higher order terms Nonlinearity 11 1998 5
37. D. Ruelle Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics J. Stat. Phys. 95 2009 1094
38. M. Colangeli, and V. Lucarini Elements of a unified framework for response formulae J. Stat. Mech. 2014 P01002
39. W. Cowieson, and L.S. Young SRB measures as zero-noise limits Ergod. Theory Dyn. Syst. 25 2005 1115
40. Yu. Kifer Random Perturbations of Dynamical Systems 1988 Birkhäuser Boston
41. V. Lucarini Stochastic perturbations to dynamical systems: a response theory approach J. Stat. Phys. 146 2012 774
42. M. Colangeli, C. Maes, and B. Wynants A meaningful expansion around detailed balance J. Phys. A: Math. Theor. 44 2011 095001
43. M. Baiesi, and C. Maes An update on the nonequilibrium linear response New J. Phys. 15 2013 013004
44. M. Baiesi, C. Maes, and B. Wynants Nonequilibrium linear response for Markov dynamics, I: jump processes and overdamped diffusions J. Stat. Phys. 137 2009 1094
45. C. Maes, K. Netočný, and B. Wynants Steady state statistics of driven diffusions Physica A 387 2008 2675
46. H. Risken The Fokker-Planck Equation 2nd ed. 1989 Springer Berlin
47. A. Dembo, and O. Zeitouni Large Deviations Techniques and Applications 1998 Springer-Verlag New York
48. S. Katz, J.L. Lebowitz, and H. Spohn Phase transitions in stationary nonequilibrium states of model lattice systems Phys. Rev. B 28 1983 1655
49. C. Maes, and K. Netočný Rigorous meaning of McLennan ensembles J. Math. Phys. 51 2010 015219
50. C. Maes On the origin and the use of fluctuation relations for the entropy Séminaire Poincaré 2 2003 29
51. R. Landauer Inadequacy of entropy and entropy derivatives in characterizing the steady state Phys. Rev. A 12 1975 636 638
52. R. Landauer Stability and entropy production in electrical circuits J. Stat. Phys. 13 1975 1 16
53. R. Landauer Motion out of noisy states J. Stat. Phys. 53 1988 233 248
54. J. Prost, J.F. Joanny, and J.M. Parrondo Generalized fluctuation- dissipation theorem for steady-state systems Phys. Rev. Lett. 103 2009 090601