Nonequilibrium entropy. Characterization of stationary states

Energy

Volumn 32, Issue 4, 2007, Pages 301-305

  Perez Madrid A ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

Irreversible thermodynamics; Nonequilibrium statistical mechanics; Stationary states

Indexed keywords

NUMERICAL METHODS; STATISTICAL MECHANICS;

BOLTZMANN EQUATION; IRREVERSIBLE THERMODYNAMICS; NONEQUILIBRIUM STATISTICAL MECHANICS; STATIONARY STATES;

ENTROPY;

ENTROPY; NUMERICAL METHODS; STATISTICAL MECHANICS;

ENTROPY; GIBBS FREE ENERGY; STATISTICAL DISTRIBUTION; THERMODYNAMICS;

EID: 33845642616     PISSN: 03605442     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.energy.2006.06.015     Document Type: Article

References (22)

1. Andrey L. The rate of entropy change in non-Hamiltonian systems. Phys Lett. 111A (1985) 45-46
2. Hoover W.G., Posch H.A., and Hoover C.G. Fractal dimension of steady nonequilibrium flows. Chaos 2 (1992) 245-252
3. Gallavotti G. Nonequilibrium thermodynamics?, arXiv: cond-matt/0301172, also Meteorological and geophysical fluid dynamics. In: W. Schröder, editor. Science, 2004.
4. Ruelle D.P. Gaps and new ideas in our understanding of nonequilibrium. Physica A 263 (1999) 540-544
5. Evans D.J., and Searles D.J. Equilibrium microstates which generate second law violating steady states. Phys Rev E 50 (1994) 1645-1648
6. Wang G.M., Sevick E.M., Mittag E., Searles D.J., and Evans D.J. Experimental demonstration of violations of the second law of thermodynamics for small systems and short time scales. Phys Rev Lett 89 (2002) 050601-050604
7. Rondoni L., and Cohen E.G.D. Gibbs entropy and irreversible thermodynamics. Nonlinearity 13 (2000) 1905-1924
8. Ruelle D.P. Extending the definition of entropy to nonequilibrium steady states. Proc Nat Acad Sci 100 (2003) 3054-3058
9. Tuckerman M.E., Mundy C.J., and Klein M.L. Toward a statistical thermodynamics of steady states. Phys Rev Lett 78 (1997) 2042-2045
10. Gaspard P. Entropy production in open volume-preserving systems. J Stat Phys 88 (1997) 1215-1240
11. Evans D.J., and Searles D.J. The fluctuation theorem. Adv. in Phys 51 (2002) 1529-1585
12. Pérez-Madrid A. Gibbs entropy and irreversibility. Physica A 339 (2004) 339-346
13. Balescu R. Equilibrium and nonequilibrium statistical mechanics (1975), Wiley-Interscience, New York
14. de Groot S.R., and Mazur P. Non-equilibrium thermodynamics (1984), Dover, New York Section VII.8, p. 126
15. van Kampen N.G. Stochastic processes in physics and chemistry (1990), North-Holland, Amsterdam Section VII.6, p. 202
16. Netleton R.E., and Green M.S. Expression in terms of molecular distribution functions for the entropy density in an infinite system. J Chem Phys 29 (1958) 1365-1370
17. Bedeaux D., and Mazur P. Mesoscopic non-equilibrium thermodynamics for quantum systems. Physica A 298 (2001) 81-100
18. Meixner J. Zur statistischen thermodynamik irreversibler Prozesse. Z Phys 149 (1957) 624-646
19. Pérez-Madrid A., Rubí J.M., and Mazur P. Brownian motion in the presence of a temperature gradient. Physica A 212 (1994) 231-238
20. Mazur P. Mesoscopic nonequilibrium thermodynamics; irreversible processes and fluctuations. Physica A 274 (1999) 491-504
21. Pérez-Madrid A., Reguera D., and Rubí J.M. A mesoscopic approach to the slow dynamics of supercooled liquids and colloidal systems. J Phys: Condens Matter 14 (2002) 1651-1657
22. Mayorga M., Romero-Salazar L., and Rubí J.M. Stochastic model for the dynamics of interacting Brownian particles. Physica A 307 (2002) 297-314