Fourier's law from closure equations

Physical Review Letters

Volumn 98, Issue 21, 2007, Pages

  Bricmont, Jean ^a   Kupiainen, Antti ^b  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b UNIVERSITY OF HELSINKI   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; HAMILTONIANS; HEAT FLUX; OSCILLATORS (MECHANICAL); THERMAL CONDUCTIVITY; THERMAL GRADIENTS;

CLOSURE EQUATIONS; HEAT BATHS; NONEQUILIBRIUM STATIONARY STATE; RIGOROUS DERIVATION;

FOURIER ANALYSIS;

EID: 34547308151     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.98.214301     Document Type: Article

References (19)

1. F. Bonetto, J.L. Lebowitz, and L. Rey-Bellet, Mathematical Physics (Imperial College Press, London 2000), pp. 128-150.
2. S. Lepri, R. Livi, and A. Politi, Phys. Rep. 377, 1 (2003). PRPLCM 0370-1573 10.1016/S0370-1573(02)00558-6
3. H. Spohn, J. Stat. Phys. 124, 1041 (2006). JSTPSB 0022-4715 10.1007/s10955-005-8088-5
4. J. Bricmont and A. Kupiainen, Commun. Math. Phys. (to be published). CMPHAY 0010-3616
5. R. Livi and S. Lepri, Nature (London) NATUAS 0028-0836 421, 327 (2003). 10.1038/421327a
6. R. Lefevere and A. Schenkel, J. Stat. Mech. 1742-5468 (2006) L02001. 10.1088/1742-5468/2006/02/L02001
7. L. Rey-Bellet, in Proceedings of the XIVTH International Congress on Mathematical Physics, Lisbon, 2003, edited by, Jean-Claude Zambrini, (World Scientific, Singapore, 2006).
8. J.-P. Eckmann, C.-A. Pillet, and L. Rey-Bellet, Commun. Math. Phys. 201, 657 (1999). CMPHAY 0010-3616 10.1007/s002200050572
9. Z. Rieder, J.L. Lebowitz, and E. Lieb, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 8, 1073 (1967). 10.1063/1.1705319
10. H. Spohn and J.L. Lebowitz, Commun. Math. Phys. 54, 97 (1977). CMPHAY 0010-3616 10.1007/BF01614132
11. K. Aoki and D. Kusnezov, Ann. Phys. (N.Y.) APNYA6 0003-4916 295, 50 (2002). 10.1006/aphy.2001.6207
12. S. Lepri, R. Livi, and A. Politi, Europhys. Lett. 43, 271 (1998). EULEEJ 0295-5075 10.1209/epl/i1998-00352-3
13. O. Narayan and S. Ramaswamy, Phys. Rev. Lett. 89, 200601 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.200601
14. L. Delfini, S. Lepri, R. Livi, and A. Politi, Phys. Rev. E 73, 060201(R) (2006). PLEEE8 1063-651X 10.1103/PhysRevE.73.060201
15. A. Pereverzev, Phys. Rev. E PLEEE8 1063-651X 68, 056124 (2003). 10.1103/PhysRevE.68.056124
16. K. Aoki, J. Lukkarinen, and H. Spohn, J. Stat. Phys. 124, 1105 (2006); JSTPSB 0022-4715 10.1007/s10955-006-9171-2
17. K. Aoki J. Lukkarinen H. Spohn arXiv:cond-mat/0602082.
18. V.E. Zakharov, V.S. Lvov, and G. Falkovich, Kolmogorov Spectra of Turbulence I: Wave Turbulence (Springer, Berlin, 1992).
19. J. Bricmont and A. Kupiainen (to be published).