1 Introduction to Nonequilibrium Statistical Physics and Its Foundations
79
23. H Ge, H Qian, Physical origins of entropy production, free energy dissipation,
and their mathematical representations, Physical Review E 81 (5), 051133
24. H Ge, H Qian, Non-equilibrium phase transition in mesoscopic biochemical
systems: from stochastic to nonlinear dynamics and beyond, Journal of the Royal
Society Interface 8 (54), 107–116
25. Gnoli A, Puglisi A, Sarracino A, Vulpiani A (2014) Nonequilibrium Brownian
Motion beyond the Effective Temperature. PLoS ONE 9(4): e93720. https://doi.
org/10.1371/journal.pone.0093720
26. B Hu, B Li, H Zhao, Heat conduction in one-dimensional chains, Physical
Review E 57 (3), 2992
27. K. Huang, Statistical mechanics, Wiley (1976)
28. G. Jacucci, Linear and nonlinear response in computer simulation experiments,
Physica A 118 (1983) 157
29. Owen G. Jepps, Carlo Bianca and Lamberto Rondoni, Onset of diffusive behavior
in confined transport systems, CHAOS 18, 013127 2008
30. D. Jou, J. Casas-Vazquez, G. Lebon, Extended Irreversible Thermodynamics,
Springer (2001)
31. G. Lebon, D. Jou, J. Casas-Vázquez, Understanding Non-equilibrium Thermodynamics, Springer, Berlin (2008)
32. R. Klages, W. Just, C. Jarzynski (Eds). Nonequilibrium statistical physics of
small systems. Wiley (2013)
33. R. Kubo, Statistical-mechanical theory of irreversible processes I, J. Phys. Soc.
Japan 12, 570 (1957)
34. Kubo, R. (1986). Brownian Motion and Nonequilibrium Statistical Mechanics.
Science, 233(4761), 330–334.
35. Toda, M., Kubo, R., Saito, N., Statistical Physics I: Equilibrium Statistical
Mechanics, Springer (1983)
36. Lanford, Oscar E., III On a derivation of the Boltzmann equation. International
Conference on Dynamical Systems in Mathematical Physics (Rennes, 1975),
pp. 117–137. Asterisque, No. 40, Soc. Math. France, Paris, 1976.
37. Lanford, Oscar E., III A derivation of the Boltzmann equation from classical
mechanics. Probability (Proc. Sympos. Pure Math., Vol. XXXI, Univ. Illinois,
Urbana, Ill., 1976), pp. 87–89. Amer. Math. Soc., Providence, R. I., 1977.
38. B Li, J Wang, Anomalous heat conduction and anomalous diffusion in onedimensional systems, Physical review letters 91 (4), 044301
39. B Li, L Wang, G Casati, Thermal diode: Rectification of heat flux, Physical
review letters 93 (18), 184301
40. Valerio Lucarini, Francesco Ragone and Frank Lunkeit, Predicting Climate
Change Using Response Theory: Global Averages and Spatial Patterns, J Stat
Phys (2017) 166: 1036
41. L. Luo and L.-H. Tang, Sub-diffusive scaling with power-law trapping times,
Chin. Phys. B 23, 070514 (2014)
42. G. Morris, D. Evans, E. Cohen, H. van Beijeren, Linear response in phase-space
trajectories to shearing, Phys. Rev. Lett. 62 (1989) 1579
79
23. H Ge, H Qian, Physical origins of entropy production, free energy dissipation,
and their mathematical representations, Physical Review E 81 (5), 051133
24. H Ge, H Qian, Non-equilibrium phase transition in mesoscopic biochemical
systems: from stochastic to nonlinear dynamics and beyond, Journal of the Royal
Society Interface 8 (54), 107–116
25. Gnoli A, Puglisi A, Sarracino A, Vulpiani A (2014) Nonequilibrium Brownian
Motion beyond the Effective Temperature. PLoS ONE 9(4): e93720. https://doi.
org/10.1371/journal.pone.0093720
26. B Hu, B Li, H Zhao, Heat conduction in one-dimensional chains, Physical
Review E 57 (3), 2992
27. K. Huang, Statistical mechanics, Wiley (1976)
28. G. Jacucci, Linear and nonlinear response in computer simulation experiments,
Physica A 118 (1983) 157
29. Owen G. Jepps, Carlo Bianca and Lamberto Rondoni, Onset of diffusive behavior
in confined transport systems, CHAOS 18, 013127 2008
30. D. Jou, J. Casas-Vazquez, G. Lebon, Extended Irreversible Thermodynamics,
Springer (2001)
31. G. Lebon, D. Jou, J. Casas-Vázquez, Understanding Non-equilibrium Thermodynamics, Springer, Berlin (2008)
32. R. Klages, W. Just, C. Jarzynski (Eds). Nonequilibrium statistical physics of
small systems. Wiley (2013)
33. R. Kubo, Statistical-mechanical theory of irreversible processes I, J. Phys. Soc.
Japan 12, 570 (1957)
34. Kubo, R. (1986). Brownian Motion and Nonequilibrium Statistical Mechanics.
Science, 233(4761), 330–334.
35. Toda, M., Kubo, R., Saito, N., Statistical Physics I: Equilibrium Statistical
Mechanics, Springer (1983)
36. Lanford, Oscar E., III On a derivation of the Boltzmann equation. International
Conference on Dynamical Systems in Mathematical Physics (Rennes, 1975),
pp. 117–137. Asterisque, No. 40, Soc. Math. France, Paris, 1976.
37. Lanford, Oscar E., III A derivation of the Boltzmann equation from classical
mechanics. Probability (Proc. Sympos. Pure Math., Vol. XXXI, Univ. Illinois,
Urbana, Ill., 1976), pp. 87–89. Amer. Math. Soc., Providence, R. I., 1977.
38. B Li, J Wang, Anomalous heat conduction and anomalous diffusion in onedimensional systems, Physical review letters 91 (4), 044301
39. B Li, L Wang, G Casati, Thermal diode: Rectification of heat flux, Physical
review letters 93 (18), 184301
40. Valerio Lucarini, Francesco Ragone and Frank Lunkeit, Predicting Climate
Change Using Response Theory: Global Averages and Spatial Patterns, J Stat
Phys (2017) 166: 1036
41. L. Luo and L.-H. Tang, Sub-diffusive scaling with power-law trapping times,
Chin. Phys. B 23, 070514 (2014)
42. G. Morris, D. Evans, E. Cohen, H. van Beijeren, Linear response in phase-space
trajectories to shearing, Phys. Rev. Lett. 62 (1989) 1579