Scattering approach to the thermodynamics of quantum transport

New Journal of Physics

Volumn 17, Issue , 2015, Pages

  Gaspard, Pierre ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

fluctuation phenomena; nonequilibrium and irreversible thermodynamics; quantum transport processes

Indexed keywords

BOSONS; ENTROPY; QUANTUM ELECTRONICS; QUANTUM THEORY; THERMODYNAMICS;

FLUCTUATION PHENOMENA; FULL COUNTING STATISTICS; NON-EQUILIBRIUM STEADY STATE; NONEQUILIBRIUM AND IRREVERSIBLE THERMODYNAMICS; NONEQUILIBRIUM CONDITIONS; QUANTUM TRANSPORT PROCESS; THERMODYNAMIC ENTROPY; TIME REVERSAL SYMMETRIES;

QUANTUM CHEMISTRY;

EID: 84930617773     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/17/4/045001     Document Type: Article

References (70)

1. Callen H B and Welton T A 1951 Phys. Rev. 83 34
2. Kolmogorov A N 1959 Dokl. Akad. Nauk SSSR 124 754
3. Sinai Ya G 1959 Dokl. Akad. Nauk SSSR 124 768
4. Cornfeld I P, Fomin S V and Sinai Ya G 1982 Ergodic Theory (New York: Springer)
5. Eckmann J-P and Ruelle D 1985 Rev. Mod. Phys. 57 617
6. Kantz H and Grassberger P 1985 Physica D 17 75
7. Gaspard P and Nicolis G 1990 Phys. Rev. Lett. 65 1693
8. Dorfman J R and Gaspard P 1995 Phys. Rev. E 51 28
9. Gaspard P, Claus I, Gilbert T and Dorfman J R 2001 Phys. Rev. Lett. 86 1506
10. Gaspard P 1998 Chaos, Scattering and Statistical Mechanics (Cambridge, UK: Cambridge University Press)
11. Gaspard P and Wang X-J 1993 Phys. Rep. 235 291
12. Gaspard P, Briggs M E, Francis M K, Sengers J V, Gammon R W, Dorfman J R and Calabrese R V 1998 Nature 394 865
13. Lecomte V, Appert-Rolland C and van Wijland F 2005 Phys. Rev. Lett. 95 010601
14. Garrahan J P, Jack R L, Lecomte V, Pitard E, van Duijvendijk K and van Wijland F 2007 Phys. Rev. Lett. 98 195702
15. Garrahan J P and Lesanovsky I 2010 Phys. Rev. Lett. 104 160601
16. Gaspard P 2004 J. Stat. Phys. 117 599
17. Gaspard P 2005 New J. Phys. 7 77
18. Andrieux D and Gaspard P 2008 Phys. Rev. E 77 031137
19. Gaspard P 2014 J. Math. Phys. 55 075208
20. Wehrl A 1978 Rev. Mod. Phys. 50 221
21. Cover T M and Thomas J A 2006 Elements of Information Theory 2nd edn (Hoboken: Wiley)
22. Andrieux D, Gaspard P, Ciliberto S, Garnier N, Joubaud S and Petrosyan A 2007 Phys. Rev. Lett. 98 150601
23. Andrieux D, Gaspard P, Ciliberto S, Garnier N, Joubaud S and Petrosyan A 2008 J. Stat. Mech.: Theory Exp. 2008 P01002
24. Connes A, Narnhofer H and Thirring W 1987 Commun. Math. Phys. 112 691
25. Narnhofer H and Thirring W 1987 Lett. Math. Phys. 14 89
26. Gaspard P 1991 Quantum Chaos ed H A Cerdeira, R Ramaswamy, M C Gutzwiller and G Casati (Singapore: World Scientific) pp 348-70
27. Gaspard P 1992 Quantum Chaos-Quantum Measurement ed P Cvitanović, I Percival and A Wirzba (Dordrecht: Kluwer) pp 19-42
28. Gaspard P 1994 Prog. Theor. Phys. Suppl. 116 369
29. Benatti F, Hudetz T and Knauf A 1998 Commun. Math. Phys. 198 607
30. Callens I, De Roeck W, Jacobs T, Maes C and Netočný K 2004 Physica D 187 383
31. Datta S 1995 Electronic Transport in Mesoscopic Systems (Cambridge, UK: Cambridge University Press)
32. Nazarov Y V and Blanter Y M 2009 Quantum Transport (Cambridge, UK: Cambridge University Press)
33. Krinner S, Stadler D, Husmann D, Brantut J-P and Esslinger T 2015 Nature 517 64
34. Brantut J-P, Grenier C, Meineke J, Stadler D, Krinner S, Kollath C, Esslinger T and Georges A 2013 Science 342 713
35. Küng B, Rössler C, Beck M, Marthaler M, Golubev D S, Utsumi Y, Ihn T and Ensslin K 2012 Phys. Rev. X 2 011001
36. Joachain C J 1975 Quantum Collision Theory (Amsterdam: North-Holland)
37. Taylor J R 2000 Scattering Theory (Mineola: Dover)
38. Huang K 1963 Statistical Mechanics (New York: Wiley)
39. Pathria R K 1972 Statistical Mechanics (Oxford: Pergamon)
40. Lacoste D and Gaspard P 2014 Phys. Rev. Lett. 113 240602
41. Onsager L 1931 Phys. Rev. 37 405
42. De Donder T and Van Rysselberghe P 1936 Affinity (Menlo Park, CA: Stanford University Press)
43. Prigogine I 1967 Introduction to Thermodynamics of Irreversible Processes (New York: Wiley)
44. de Groot S R and Mazur P 1984 Non-Equilibrium Thermodynamics (New York: Dover)
45. Callen H B 1985 Thermodynamics and an Introduction to Thermostatistics (New York: Wiley)
46. Andrieux D, Gaspard P, Monnai T and Tasaki S 2009 New J. Phys. 11 043014
47. Andrieux D, Gaspard P, Monnai T and Tasaki S 2009 New J. Phys. 11 109802 (erratum)
48. Jakšić V, Ogata Y, Pillet C-A and Seiringer R 2012 Rev. Math. Phys. 24 1230002
49. Gaspard P 2013 New J. Phys. 15 115014
50. Gallavotti G 1996 Phys. Rev. Lett. 77 4334
51. Lebowitz J L and Spohn H 1999 J. Stat. Phys. 95 333
52. Maes C 1999 J. Stat. Phys. 95 367
53. Andrieux D and Gaspard P 2004 J. Chem. Phys. 121 6167
54. Andrieux D and Gaspard P 2007 J. Stat. Phys. 127 107
55. Esposito M, Harbola U and Mukamel S 2009 Rev. Mod. Phys. 81 1665
56. Campisi M, Hänggi P and Talkner P 2011 Rev. Mod. Phys. 83 771
57. Seifert U 2012 Rep. Prog. Phys. 75 126001
58. Klich I 2003 Quantum Noise in Mesoscopic Physics ed Y V Nazarov (Dordrecht: Kluwer) pp 397-402
59. Levitov L S and Lesovik G B 1993 JETP Lett. 58 230
60. Tasaki S 2001 Chaos Solitons Fractals 12 2657
61. Aschbacher W, Jakšić V, Pautrat Y and Pillet C-A 2007 J. Math. Phys. 48 032101
62. Bruneau L, Jakšić V and Pillet C-A 2013 Commun. Math. Phys. 319 501
63. Avron J E, Bachmann S, Graf G M and Klich I 2008 Commun. Math. Phys. 280 807
64. Posch H A and Hoover W G 1988 Phys. Rev. A 38 473
65. Posch H A and Hoover W G 1989 Phys. Rev. A 39 2175
66. Evans D J and Morris G P 1990 Statistical Mechanics of Nonequilibrium Liquids (London: Academic)
67. Dellago C and Posch H A 1995 Phys. Rev. E 52 2401
68. Gaspard P and van Beijeren H 2002 J. Stat. Phys. 109 671
69. Gaspard P 2003 Phys. Rev. E 68 056209
70. Gaspard P and Gilbert T 2008 New J. Phys. 10 103004