Anomalous Heat Conduction in One-Dimensional Momentum-Conserving Systems

Physical Review Letters

Volumn 89, Issue 20, 2002, Pages

  Narayan, Onuttom ^a,b   Ramaswamy, Sriram ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; HAMILTONIANS; HYDRODYNAMICS; OSCILLATORS (ELECTRONIC); PERTURBATION TECHNIQUES; PHASE EQUILIBRIA; THERMAL CONDUCTIVITY; THERMAL NOISE;

RESPONSE FUNCTIONS;

HEAT CONDUCTION;

EID: 0037065129     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.89.200601     Document Type: Article

References (36)

1. For a recent review of low-dimensional heat conduction, see S. Lepri, R. Livi, and A. Politi, cond-mat/0112193.
2. Z. Rieder, J.L. Lebowitz, and E. Lieb, J. Math. Phys. (N.Y.) 8, 1073 (1967);
3. A. Casher and J.L. Lebowitz, J. Math. Phys. (N.Y.) 12, 1701 (1971);
4. R.J. Rubin and W.L. Greer, J. Math. Phys. (N.Y.) 12, 1686 (1971);
5. A.J. O’Connor and J.L. Lebowitz, J. Math. Phys. (N.Y.) 15, 692 (1974);
6. H. Spohn and J.L. Lebowitz, Commun. Math. Phys. 54, 97 (1977);
7. H. Matsuda and K. Ishii, Prog.Theor. Phys.Suppl. 45, 56 (1970).
8. A. Dhar, Phys. Rev. Lett.10.1103/PhysRevLett.86.5882 86, 5882 (2001).
9. S. Lepri, R. Livi, and A. Politi, Europhys. Lett. 43, 271 (1998).
10. S. Lepri, R. Livi, and A. Politi, Phys. Rev. Lett.10.1103/PhysRevLett.78.1896 78, 1896 (1997);
11. A.V. Savin, G.P. Tsironis, and A.V. Zolotaryuk, Phys. Rev. Lett.10.1103/PhysRevLett.88.154301 88, 154301 (2002);
12. T. Hatano, Phys. Rev. EPLEEE8 59, R1 (1999).
13. A. Dhar, Phys. Rev. Lett.10.1103/PhysRevLett.86.3554 86, 3554 (2001).
14. G. Casati and T. Prosen, cond-mat/0203331.
15. P. Grassberger, W. Nadler, and L. Yang, Phys. Rev. Lett. 89, 180601 (2002).
16. T. Prosen and D.K. Campbell, Phys. Rev. Lett.10.1103/PhysRevLett.84.2857 84, 2857 (2000).
17. M.S. Green, J. Chem. Phys.JCPSA6 22, 398 (1954).
18. R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957).
19. F. Bonetto, J.L. Lebowitz, and L. Rey-Bellet, math-ph/0002052.
20. J.A. McLennan, Non-Equilibrium Statistical Mechanics (Prentice Hall, Engelwood Cliffs, New Jersey, 1989).
21. L.P. Kadanoff and P.C. Martin, Ann. Phys. (N.Y.)APNYA6 24, 419 (1963).
22. W.M. Visscher, Phys. Rev. A10.1103/PhysRevA.10.2461 10, 2461 (1974).
23. D. Forster, Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions (Benjamin Cummings, Reading, MA, 1975), Chap.�4.
24. L.D. Landau and E.M. Lifshitz, Fluid Mechanics (Pergamon, Oxford, 1959).
25. The most complete stochastic treatment of a fluid with temperature fluctuations is that of P. Español, Physica (Amsterdam) 248A, 77 (1998);
26. see also W. van Saarloos and D. Bedeaux, Physica (Amsterdam) 110A, 147 (1982);
27. D.N. Zubarev and V.G. Morozov, Physica (Amsterdam) 120A, 411 (1983).
28. D. Forster, D.R. Nelson, and M.J. Stephen, Phys. Rev. A10.1103/PhysRevA.16.732 16, 732 (1977).
29. P.C. Martin, E.D. Siggia, and H. Rose, Phys. Rev. A10.1103/PhysRevA.8.423 8, 423 (1973);
30. R. Bausch, H. Wagner, and H.K. Janssen, Z. Phys. B 24, 113 (1976).
31. P. Grassberger and L. Yang, cond-mat/0204247.
32. M.H. Ernst, Physica (Amsterdam) 47D, 198 (1991).
33. C. Giardina, R. Livi, A. Politi, and M. Vassalli, Phys. Rev. Lett.10.1103/PhysRevLett.84.2144 84, 2144 (2000);
34. O.V. Gendelman and A.V. Savin, Phys. Rev. Lett.10.1103/PhysRevLett.84.2381 84, 2381 (2000).
35. G. Casati, J. Ford, F. Vivaldi, and W.M. Visscher, Phys. Rev. Lett.10.1103/PhysRevLett.52.1861 52, 1861 (1984);
36. B. Hu, B. Li and H. Zhao, Phys. Rev. EPLEEE810.1103/PhysRevE.57.2992 57, 2992 (1998).