Entropy and Nonlinear Nonequilibrium Thermodynamic Relation for Heat Conducting Steady States

Journal of Statistical Physics

Volumn 142, Issue 1, 2011, Pages 127-153

  Komatsu, Teruhisa S ^a   Nakagawa, Naoko ^b   Sasa, Shin ichi ^a   Tasaki, Hal ^c  

^a UNIVERSITY OF TOKYO   (Japan)

^b IBARAKI UNIVERSITY   (Japan)

^c GAKUSHUIN UNIVERSITY   (Japan)

Author keywords

Clausius relation; Excess heat; Nonequilibrium steady states

Indexed keywords

EID: 78650519537     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-010-0095-5     Document Type: Article

References (19)

1. Oono, Y., Paniconi, M.: Prog. Theor. Phys. Suppl. 130, 29 (1998).
2. Derrida, B., Lebowitz, J. L., Speer, E. R.: Phys. Rev. Lett. 87, 150601 (2001). arXiv: cond-mat/0105110.
3. Bertini, L., De Sole, A., Gabrielli, D., Jona-Lasinio, G., Landim, C.: Phys. Rev. Lett. 87, 040601 (2001). arXiv: cond-mat/0104153.
4. Bertini, L., De Sole, A., Gabrielli, D., Jona-Lasinio, G., Landim, C.: J. Stat. Phys. 135, 857 (2009). arXiv: 0807. 4457v2.
5. Jona-Lasinio, G.: Prog. Theor. Phys. Suppl. 184, 262 (2010). arXiv: 1003. 4164.
6. Bodineau, T., Derrida, B.: Phys. Rev. Lett. 92, 180601 (2004). arXiv: cond-mat/0402305.
7. Komatsu, T. S., Nakagawa, N., Sasa, S., Tasaki, H.: Phys. Rev. Lett. 100, 230602 (2008). arXiv: 0711. 0246.
8. Landauer, R.: Phys. Rev. A 18, 255 (1978).
9. Ruelle, D.: Proc. Natl. Acad. Sci. USA 100, 3054 (2003). arXiv: cond-mat/0303156.
10. Lebowitz, J. L., Frisch, H. L.: Phys. Rev. 107, 917 (1957).
11. Bergmann, P. G., Lebowitz, J. L.: Phys. Rev. 99, 578 (1955).
12. Komatsu, T. S., Nakagawa, N., Sasa, S., Tasaki, H., Ito, N.: Prog. Theor. Phys. Suppl. 184, 329 (2010).
13. Komatsu, T. S., Nakagawa, N.: Phys. Rev. Lett. 100, 030601 (2008). arXiv: 0708. 3158.
14. Komatsu, T. S., Nakagawa, N., Sasa, S., Tasaki, H.: J. Stat. Phys. 134, 401 (2009). arXiv: 0805. 3023.
15. Komatsu, T. S., Nakagawa, N., Sasa, S., Tasaki, H.: Preprint (in preparation).
16. Komatsu, T. S., Nakagawa, N., Ito, N.: in preparation.
17. Saito, K., Tasaki, H.: in preparation.
18. Jarzynski, C.: Phys. Rev. Lett. 78, 2690 (1997). arXiv: cond-mat/9610209.
19. Maes, C., Netocny, K.: J. Math. Phys. 51, 015219 (2010). arXiv: 0911. 1032.