1 Introduction to Nonequilibrium Statistical Physics and Its Foundations
81
62. H Zhou, Network landscape from a Brownian particle’s perspective, Physical
Review E 67 (4), 041908
63. H Zhou, R Lipowsky, Dynamic pattern evolution on scale-free networks, Proceedings National Academy of Sciences USA 102 (29), 10052–10057
64. R. Zwanzig, Nonequilibrium statistical mechanics, Oxford University Press
(2001)
References
1. Lieb, E.H., Yngvason, J.: The physics and mathematics of the second law of thermodynamics.
Phys. Rep. 310, 1–96 (1999)
2. Koyré, A.: Newtonian Studies. Phoenix Books. The University of Chicago Press, Chicago
(1968)
3. Chibbaro, S., Rondoni, L., Vulpiani, A.: Reductionism, Emergence and Levels of Reality.
Springer, Berlin (2014)
4. Cantoni, G.: Su alcune condizioni fsiche dell’affinità e sul moto browniano. Il Nuovo Cimento
27, 156–167 (1867)
5. Buenzli, P.R., Soto, R.: Violation of the action-reaction principle and self-forces induced by
nonequilibrium fluctuations. Phys. Rev. E 78, 020102 (2008)
6. Buenzli, P.R.: Fluctuation-induced self-force and violation of action-reaction in a nonequilibrium steady state fluid. J. Phys. Conf. Series 161, 012036 (2009)
7. Pinheiro, M.J.: On Newton’s third law and its symmetry-breaking effects. Phys. Scr. bf 84,
055004 (2011)
8. Ivlev, A.V., Bartnick, J., Heinen, M., Du, C.-R., Nosenko, V., Löwen, H.: Statistical mechanics
where Newton’s third law is broken. Phys. Rev. X 5, 011035 (2015)
9. Perrin, J.: Les Atomes. Alcan, Paris (1913)
10. Risken, H.: The Fokker-Planck Equation. Srpinger, Berlin (1989)
11. Bonaldi, M., et al.: Nonequilibrium steady-state fluctuations in actively cooled resonators.
Phys. Rev. Lett. 103, 010601 (2009)
12. Solon, A.P., Fily, Y., Baskaran, A., Cates, M.E., Kafri, Y., Kardar, M., Tailleur, J.: Pressure is
not a state function for generic active fluids. Nat. Phys. 11, 673–678 (2015)
13. De Groot, S.R., Mazur, P.: Non-equilibrium Thermodynamics. Dover Books on Physics (2011)
14. Das, Shibananda, et al.: Confined active Brownian particles: theoretical description of
propulsion-induced accumulation. New J. Phys. 20, 015001 (2018)
15. Sekimoto, K: Stochastic Energetics. Springer, Berlin (2010)
16. Kubo, R., Toda, M, Hashitsume, N.: Nonequilibrium Statistical Mechanics, Springer, Statistical
Physics II (1991)
17. Laplace, P.S.: Essai philosophique sur les probabilités. H. Remy (1982)
18. Fermi, E.: Thermodynamics. Dover Books on Physics (2012)
19. Mañé, R.: Ergodic Theory and Differentiable Dynamics. Springer, Berlin (1987)
20. Sinai, YaG: Dynamical systems with elastic reflections. Russ. Math. Surv. 25, 137 (1970)
21. Khinchin, Ya.A.: Mathematical Foundations of Statistical Mechanics Copertina Flessibile.
Dover (1949)
22. Cercignani, C.: The Boltzmann Equation and Its applications. Springer, Berlin (1988)
23. Grad, H.: On the kinetic theory of rarefied gases. Comm. Pure Appl. Math. 2, 331 (1949)
24. Ashcroft, N.W., Mermin, D.N.: Solid State Physics. Saunders College Publishing (1976)
25. Chen, F.F.: Introduction to Plasma Physics and Controlled Fusion. Springer, Berlin (2016)
26. Rondoni, L., Zweifel, P.F.: Collided-flux-expansion method for the transport of muonic deuterium in finite media. Phys. Rev. A 44, 1104 (1991)
81
62. H Zhou, Network landscape from a Brownian particle’s perspective, Physical
Review E 67 (4), 041908
63. H Zhou, R Lipowsky, Dynamic pattern evolution on scale-free networks, Proceedings National Academy of Sciences USA 102 (29), 10052–10057
64. R. Zwanzig, Nonequilibrium statistical mechanics, Oxford University Press
(2001)
References
1. Lieb, E.H., Yngvason, J.: The physics and mathematics of the second law of thermodynamics.
Phys. Rep. 310, 1–96 (1999)
2. Koyré, A.: Newtonian Studies. Phoenix Books. The University of Chicago Press, Chicago
(1968)
3. Chibbaro, S., Rondoni, L., Vulpiani, A.: Reductionism, Emergence and Levels of Reality.
Springer, Berlin (2014)
4. Cantoni, G.: Su alcune condizioni fsiche dell’affinità e sul moto browniano. Il Nuovo Cimento
27, 156–167 (1867)
5. Buenzli, P.R., Soto, R.: Violation of the action-reaction principle and self-forces induced by
nonequilibrium fluctuations. Phys. Rev. E 78, 020102 (2008)
6. Buenzli, P.R.: Fluctuation-induced self-force and violation of action-reaction in a nonequilibrium steady state fluid. J. Phys. Conf. Series 161, 012036 (2009)
7. Pinheiro, M.J.: On Newton’s third law and its symmetry-breaking effects. Phys. Scr. bf 84,
055004 (2011)
8. Ivlev, A.V., Bartnick, J., Heinen, M., Du, C.-R., Nosenko, V., Löwen, H.: Statistical mechanics
where Newton’s third law is broken. Phys. Rev. X 5, 011035 (2015)
9. Perrin, J.: Les Atomes. Alcan, Paris (1913)
10. Risken, H.: The Fokker-Planck Equation. Srpinger, Berlin (1989)
11. Bonaldi, M., et al.: Nonequilibrium steady-state fluctuations in actively cooled resonators.
Phys. Rev. Lett. 103, 010601 (2009)
12. Solon, A.P., Fily, Y., Baskaran, A., Cates, M.E., Kafri, Y., Kardar, M., Tailleur, J.: Pressure is
not a state function for generic active fluids. Nat. Phys. 11, 673–678 (2015)
13. De Groot, S.R., Mazur, P.: Non-equilibrium Thermodynamics. Dover Books on Physics (2011)
14. Das, Shibananda, et al.: Confined active Brownian particles: theoretical description of
propulsion-induced accumulation. New J. Phys. 20, 015001 (2018)
15. Sekimoto, K: Stochastic Energetics. Springer, Berlin (2010)
16. Kubo, R., Toda, M, Hashitsume, N.: Nonequilibrium Statistical Mechanics, Springer, Statistical
Physics II (1991)
17. Laplace, P.S.: Essai philosophique sur les probabilités. H. Remy (1982)
18. Fermi, E.: Thermodynamics. Dover Books on Physics (2012)
19. Mañé, R.: Ergodic Theory and Differentiable Dynamics. Springer, Berlin (1987)
20. Sinai, YaG: Dynamical systems with elastic reflections. Russ. Math. Surv. 25, 137 (1970)
21. Khinchin, Ya.A.: Mathematical Foundations of Statistical Mechanics Copertina Flessibile.
Dover (1949)
22. Cercignani, C.: The Boltzmann Equation and Its applications. Springer, Berlin (1988)
23. Grad, H.: On the kinetic theory of rarefied gases. Comm. Pure Appl. Math. 2, 331 (1949)
24. Ashcroft, N.W., Mermin, D.N.: Solid State Physics. Saunders College Publishing (1976)
25. Chen, F.F.: Introduction to Plasma Physics and Controlled Fusion. Springer, Berlin (2016)
26. Rondoni, L., Zweifel, P.F.: Collided-flux-expansion method for the transport of muonic deuterium in finite media. Phys. Rev. A 44, 1104 (1991)