Energy flux operator, current conservation and the formal Fourier's law

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 2, 2009, Pages

  Wu, Lian Ao ^a   Segal, Dvira ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 64549125493     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/2/025302     Document Type: Article

References (61)

1. Kim P, Shi L, Majumdar A and McEuen P L 2001 Phys. Rev. Lett. 87 215502
2. Ge Z, Cahill D G and Braun P V 2006 Phys. Rev. Lett. 96 186101
3. Wang R Y, Segalman R A and Majumdar A 2006 Appl. Phys. Lett. 89 173113
4. Chang C W, Okawa D, Majumdar A and Zettl A 2006 Science 314 1121
5. Wang Z, Carter J A, Lagutchev A, Koh Y K, Seong N-H, Cahill D G and Dlott D D 2007 Science 317 787
6. Chiritescu C, Cahill D G, Nguyen N, Johnson D, Bodapati A, Keblinski P and Zschack P 2007 Science 315 351
7. Meschke M, Guichard W and Pekola J P 2006 Nature 444 187
8. Uzer T and Miller W H 1991 Phys. Rep. 199 73
9. Chang C W, Okawa D, Garcia H, Yuzvinsky T D, Majumdar A and Zettl A 2007 Appl. Phys. Lett. 90 193114
10. Saira O-P, Meschke M, Giazotto F, Savin A M, Mttnen M and Pekola J P 2007 Phys. Rev. Lett. 99 027203
11. Pekola J P and Hekking F W J 2007 Phys. Rev. Lett. 98 210604
12. Wang L and Li B 2007 Phys. Rev. Lett. 99 177208
13. Liu Z and Li B 2007 Phys. Rev. E 76 051118
14. Reddy P, Jang S-Y, Segalman R A and Majumdar A 2007 Science 315 1568
15. Hochbaum A I, Chen R K, Delgado R D, Liang W J, Garnett E C, Najarian M, Majumdar A and Yang P D 2008 Nature 451 163
16. Boukai A I, Bunimovich Y, Tahir-Kheli J, Yu J-K, Goddard W A III and Heath J R 2008 Nature 451 168
17. Giazotto F, Heikkila T T, Luukanen A, Savin A M and Pekola J P 2006 Rev. Mod. Phys. 78 217
18. Geva E and Kosloff R 1994 Phys. Rev. E 49 3903
19. Geva E and Kosloff R 1996 J. Chem. Phys. 104 7681
20. Boukobza E and Tannor D J 2006 Phys. Rev. A 74 063823
21. Zotos X and Prelovsek P 2003 Interacting Electrons in Low Dimensions (Physics and Chemistry of Materials with Low-Dimensional Structures) (Dordrecht: Kluwer) (book series)
22. Segal D and Nitzan A 2005 Phys. Rev. Lett. 94 034301
23. Segal D and Nitzan A 2005 J. Chem. Phys. 122 194704
24. Segal D 2008 Phys. Rev. Lett. 100 105901
25. Allen P B and Feldman J L 1993 Phys. Rev. B 48 12581
26. Bonetto F, Lebowitz J and Rey-Bellet L 2000 Mathematical Physics 2000 (Fourier's Law A Challenge to Theorists) (Singapore: World Scientific) pp 128-50 (arXiv:math-ph/0002052)
27. Lepri S, Livi R and Politi A 2003 Phys. Rep. 377 1
28. Pereira E and Falcao R 2006 Phys. Rev. Lett. 96 100601
29. Bricmont J and Kupiainen A 2007 Phys. Rev. Lett. 98 214301
30. Michel M, Mahler G and Gemmer J 2005 Phys. Rev. Lett. 95 180602
31. Michel M, Mahler G and Gemmer J 2006 Phys. Rev. E 73 016101
32. Michel M, Gemmer J and Mahler G 2006 Int. J. Mod. Phys. B 20 4855
33. Wu L-A and Segal D 2008 Phys Rev. E 77 060101
34. Hardy R J 1963 Phys. Rev. 132 168
35. Saito K, Takesue S and Miyashita S 1996 J. Phys. Soc. Japan 65 1243
36. Saito K, Takesue S and Miyashita S 1996 Phys. Rev. E 54 2404
37. Saito K 2003 Europhys. Lett. 61 34
38. Mejia-Monasterio C, Prosen T and Casati G 2005 Europhys. Lett. 72 520
39. Gemmer J, Steinigeweg R and Michel M 2006 Phys. Rev. B 73 104302
40. Wichterich H, Henrich M J, Breuer H-P, Gemmer J and Michel M 2007 Phys. Rev. E 76 031115
41. Michel M, Hess O, Wichterich H and Gemmer J 2008 Phys. Rev. B 77 104303
42. Zotos X, Naef F and Prelovsek P 1997 Phys. Rev. B 55 11029
43. Kosloff R and Ratner M A 1984 J. Chem. Phys. 80 2352
44. Weimer H, Henrich M J, Rempp F, Schröder H and Mahler G 2008 Europhys. Lett. 83 30008
45. Hewson A C 1993 The Kondo Problem to Heavy Fermions (Cambridge: Cambridge University Press)
46. Legget A J et al 1987 Rev. Mod. Phys. 59 1
47. Prokofev N V and Stamp P C E 2000 Rep. Prog. Phys. 63 669 (and references therein)
48. Rossini D, Calarco T, Giovannetti V, Montangero S and Fazio R 2007 Phys. Rev. A 75 032333
49. Segal D 2006 Phys. Rev. B 73 205415
50. Segal D and Nitzan A 2006 Phys. Rev. E 73 026109
51. Mahan G D 1990 Many-Particle Physics 2nd edn (New York: Plenum)
52. Tomonaga S 1950 Prog. Theor. Phys. 5 544
53. Luttinger J M 1963 J. Math. Phys., NY 4 1154
54. Wu L-A and Lidar D 2002 J. Math. Phys. 43 4506
55. Ring P and Schuck P 1980 The Nuclear Many-Body Problem (New York: Springer)
56. Wybourne B 1974 Classical Group for Physicists (New York: Wiley)
57. Redfield A G 1957 IBM J. Res. Dev. 1 19
58. Redfield A G 1965 Appl. Magn. Reson. 1 1
59. Persson B N J and Ueba H 2007 Phys. Rev. B 76 125401
60. Harbola U, Esposito M and Mukamel S 2007 Phys. Rev. B 76 085408
61. Pekola J P, Giazotto F and Saira O-P 2007 Phys. Rev. Lett. 98 037201