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Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 79, Issue 4, 2009, Pages

Fourier's law: Insight from a simple derivation

(2) Dubi, Y a Di Ventra, M a

a UNIVERSITY OF CALIFORNIA (United States)

Author keywords

[No Author keywords available]

Indexed keywords

A THERMALS; DE-PHASING; FOURIER'S LAWS; LOCAL TEMPERATURES; MESOSCOPIC; OHM'S LAWS; ONE-DIMENSIONAL; QUANTUM SYSTEMS; SIMPLE MODELS; THERMAL BATHS;

FOURIER TRANSFORMS; QUANTUM ELECTRONICS; QUANTUM OPTICS;

LAWS AND LEGISLATION;

EID: 65549151880 PISSN: 15393755 EISSN: 15502376 Source Type: Journal
DOI: 10.1103/PhysRevE.79.042101 Document Type: Article

Times cited : (60)

References (40)

1
- 0004278789
- Didot, Paris J. Gabay, Paris
- J. Fourier, Théorie Analytique de la Chaleur (Didot, Paris, 1822); Reprinted (J. Gabay, Paris, 1988).
- (1822) Théorie Analytique de la Chaleur
- Fourier, J.¹

2
- 0006886326
- edited by A. S. Fokas, A. Grigoryan, T. Kibble, and B. Zegarlinski (Imperial College Press, London
- F. Bonetto, J. L. Lebowitz, and L. Rey-Bellet, in Mathematical Physics 2000, edited by, A. S. Fokas, A. Grigoryan, T. Kibble, and, B. Zegarlinski, (Imperial College Press, London, 2000), p. 128.
- (2000) Mathematical Physics 2000 , pp. 128
- Bonetto, F.¹ Lebowitz, J.L.² Rey-Bellet, L.³

3
- 33747185384
- 10.1038/nphys157
- M. Buchanan, Nat. Phys. 1, 71 (2005). 10.1038/nphys157
- (2005) Nat. Phys. , vol.1 , pp. 71
- Buchanan, M.¹

4
- 33751082641
- For a recent review see, e.g., 10.1142/S0217979206035849
- For a recent review see, e.g., M. Michel, J. Gemmer, and G. Mahler, Int. J. Mod. Phys. B 20, 4855 (2006). 10.1142/S0217979206035849
- (2006) Int. J. Mod. Phys. B , vol.20 , pp. 4855
- Michel, M.¹ Gemmer, J.² Mahler, G.³

5
- 63249129257
- 10.1103/PhysRevB.79.115415;
- Y. Dubi and M. Di Ventra, Phys. Rev. B 79, 115415 (2009). 10.1103/PhysRevB.79.115415
- (2009) Phys. Rev. B , vol.79 , pp. 115415
- Dubi, Y.¹ Di Ventra, M.²

6
- 61749103858
- 10.1021/nl8025407
- Y. Dubi and M. Di Ventra, Nano Lett. 9, 97 (2009). 10.1021/nl8025407
- (2009) Nano Lett. , vol.9 , pp. 97
- Dubi, Y.¹ Di Ventra, M.²

7
- 49749129950
- 10.1103/PhysRevLett.101.075903
- C. W. Chang, D. Okawa, H. Garcia, A. Majumdar, and A. Zettl, Phys. Rev. Lett. 101, 075903 (2008). 10.1103/PhysRevLett.101.075903
- (2008) Phys. Rev. Lett. , vol.101 , pp. 075903
- Chang, C.W.¹ Okawa, D.² Garcia, H.³ Majumdar, A.⁴ Zettl, A.⁵

8
- 33751216776
- 10.1126/science.1132898
- C. W. Chang, D. Okawa, A. Majumdar, and A. Zettl, Science 314, 1121 (2006). 10.1126/science.1132898
- (2006) Science , vol.314 , pp. 1121
- Chang, C.W.¹ Okawa, D.² Majumdar, A.³ Zettl, A.⁴

9
- 34547464081
- Nanotube phonon waveguide
- DOI 10.1103/PhysRevLett.99.045901
- C. W. Chang, D. Okawa, H. Garcia, A. Majumdar, and A. Zettl, Phys. Rev. Lett. 99, 045901 (2007). 10.1103/PhysRevLett.99.045901 (Pubitemid 47173184)
- (2007) Physical Review Letters , vol.99 , Issue.4 , pp. 045901
- Chang, C.W.¹ Okawa, D.² Garcia, H.³ Majumdar, A.⁴ Zettl, A.⁵

10
- 34248335838
- Tunable thermal links
- DOI 10.1063/1.2738187
- C. W. Chang, D. Okawa, H. Garcia, T. D. Yuzvinsky, A. Majumdar, and A. Zettl, Appl. Phys. Lett. 90, 193114 (2007). 10.1063/1.2738187 (Pubitemid 46738135)
- (2007) Applied Physics Letters , vol.90 , Issue.19 , pp. 193114
- Chang, C.W.¹ Okawa, D.² Garcia, H.³ Yuzvinsky, T.D.⁴ Majumdar, A.⁵ Zettl, A.⁶

11
- 0001348605
- 10.1103/PhysRevA.53.3117;
- A. Nagy, R. G. Parr, and S. Liu, Phys. Rev. A 53, 3117 (1996) 10.1103/PhysRevA.53.3117
- (1996) Phys. Rev. A , vol.53 , pp. 3117
- Nagy, A.¹ Parr, R.G.² Liu, S.³

12
- 19544362366
- 10.1103/PhysRevLett.93.080402
- M. Hartmann, G. Mahler, and O. Hess, Phys. Rev. Lett. 93, 080402 (2004). 10.1103/PhysRevLett.93.080402
- (2004) Phys. Rev. Lett. , vol.93 , pp. 080402
- Hartmann, M.¹ Mahler, G.² Hess, O.³

13
- 79051470927
- 10.1209/0295-5075/85/40004
- M. Di Ventra and Y. Dubi, Europhys. Lett. 85, 40004 (2009). 10.1209/0295-5075/85/40004
- (2009) Europhys. Lett. , vol.85 , pp. 40004
- Di Ventra, M.¹ Dubi, Y.²

14
- 64549125493
- 10.1088/1751-8113/42/2/025302
- L.-A. Wu and D. Segal, J. Phys. A: Math. Theor. 42, 025302 (2009). 10.1088/1751-8113/42/2/025302
- (2009) J. Phys. A: Math. Theor. , vol.42 , pp. 025302
- Wu, L.-A.¹ Segal, D.²

15
- 49649089195
- 10.1103/PhysRevB.78.054302
- Yu. V. Pershin, Y. Dubi, and M. Di Ventra, Phys. Rev. B 78, 054302 (2008). 10.1103/PhysRevB.78.054302
- (2008) Phys. Rev. B , vol.78 , pp. 054302
- Pershin, Yu.V.¹ Dubi, Y.² Di Ventra, M.³

16
- 0031095505
- 10.1103/PhysRevLett.78.1896
- S. Lepri, R. Livi, and A. Politi, Phys. Rev. Lett. 78, 1896 (1997). 10.1103/PhysRevLett.78.1896
- (1997) Phys. Rev. Lett. , vol.78 , pp. 1896
- Lepri, S.¹ Livi, R.² Politi, A.³

17
- 0035844531
- 10.1103/PhysRevLett.86.5486
- P. L. Garrido, P. I. Hurtado, and B. Nadrowski, Phys. Rev. Lett. 86, 5486 (2001). 10.1103/PhysRevLett.86.5486
- (2001) Phys. Rev. Lett. , vol.86 , pp. 5486
- Garrido, P.L.¹ Hurtado, P.I.² Nadrowski, B.³

18
- 0037271187
- Strong evidence of normal heat conduction in a one-dimensional quantum system
- DOI 10.1209/epl/i2003-00241-3
- K. Saito, Europhys. Lett. 61, 34 (2003). 10.1209/epl/i2003-00241-3 (Pubitemid 36185129)
- (2003) Europhysics Letters , vol.61 , Issue.1 , pp. 34-40
- Saito, K.¹

19
- 28844439046
- 10.1103/PhysRevLett.95.180602
- M. Michel, G. Mahler, and J. Gemmer, Phys. Rev. Lett. 95, 180602 (2005). 10.1103/PhysRevLett.95.180602
- (2005) Phys. Rev. Lett. , vol.95 , pp. 180602
- Michel, M.¹ Mahler, G.² Gemmer, J.³

20
- 0037014229
- 10.1103/PhysRevLett.88.223901
- B. Li, L. Wang, and B. Hu, Phys. Rev. Lett. 88, 223901 (2002). 10.1103/PhysRevLett.88.223901
- (2002) Phys. Rev. Lett. , vol.88 , pp. 223901
- Li, B.¹ Wang, L.² Hu, B.³

21
- 4344644671
- Fourier's law for a harmonic crystal with self-consistent stochastic reservoirs
- DOI 10.1023/B:JOSS.0000037232.14365.10
- F. Bonetto, J. L. Lebowitz, and J. Lukkarinen, J. Stat. Phys. 116, 783 (2004). 10.1023/B:JOSS.0000037232.14365.10 (Pubitemid 39129798)
- (2004) Journal of Statistical Physics , vol.116 , Issue.1-4 , pp. 783-813
- Bonetto, F.¹ Lebowitz, J.L.² Lukkarinen, J.³

22
- 34547308151
- Fourier's law from closure equations
- DOI 10.1103/PhysRevLett.98.214301
- J. Bricmont and A. Kupiainen, Phys. Rev. Lett. 98, 214301 (2007). 10.1103/PhysRevLett.98.214301 (Pubitemid 47139652)
- (2007) Physical Review Letters , vol.98 , Issue.21 , pp. 214301
- Bricmont, J.¹ Kupiainen, A.²

23
- 47049098893
- 10.1103/PhysRevLett.101.020601
- P. Gaspard and T. Gilbert, Phys. Rev. Lett. 101, 020601 (2008). 10.1103/PhysRevLett.101.020601
- (2008) Phys. Rev. Lett. , vol.101 , pp. 020601
- Gaspard, P.¹ Gilbert, T.²

24
- 5244314879
- 10.1103/PhysRevA.12.675;
- W. M. Visscher and M. Rich, Phys. Rev. A 12, 675 (1975) 10.1103/PhysRevA.12.675
- (1975) Phys. Rev. A , vol.12 , pp. 675
- Visscher, W.M.¹ Rich, M.²

25
- 33845605072
- 10.1007/s10955-006-9235-3
- A. Dhar and D. Roy, J. Stat. Phys. 125, 801 (2006). 10.1007/s10955-006- 9235-3
- (2006) J. Stat. Phys. , vol.125 , pp. 801
- Dhar, A.¹ Roy, D.²

26
- 34547145159
- Quantum mechanical heat transport in disordered harmonic chains
- DOI 10.1103/PhysRevE.76.011111
- C. Gaul and H. Büttner, Phys. Rev. E 76, 011111 (2007). 10.1103/PhysRevE.76.011111 (Pubitemid 47119569)
- (2007) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , vol.76 , Issue.1 , pp. 011111
- Gaul, C.¹ Buttner, H.²

27
- 41749106418
- 10.1103/PhysRevLett.100.134301
- A. Dhar and J. L. Lebowitz, Phys. Rev. Lett. 100, 134301 (2008). 10.1103/PhysRevLett.100.134301
- (2008) Phys. Rev. Lett. , vol.100 , pp. 134301
- Dhar, A.¹ Lebowitz, J.L.²

28
- 44849083845
- 10.1103/PhysRevE.77.062102
- D. Roy, Phys. Rev. E 77, 062102 (2008). 10.1103/PhysRevE.77.062102
- (2008) Phys. Rev. e , vol.77 , pp. 062102
- Roy, D.¹

29
- 62949239168
- 10.1007/s10955-009-9697-1
- P. A. Jacquet, J. Stat. Phys. 134, 709 (2009). 10.1007/s10955-009-9697-1
- (2009) J. Stat. Phys. , vol.134 , pp. 709
- Jacquet, P.A.¹

30
- 34247847721
- Equilibration and universal heat conduction in fermi-pasta-ulam chains
- DOI 10.1103/PhysRevLett.98.184301
- T. Mai, A. Dhar, and O. Narayan, Phys. Rev. Lett. 98, 184301 (2007). 10.1103/PhysRevLett.98.184301 (Pubitemid 46701723)
- (2007) Physical Review Letters , vol.98 , Issue.18 , pp. 184301
- Mai, T.¹ Dhar, A.² Narayan, O.³

31
- 1642382208
- 10.1140/epjb/e2003-00228-x
- M. Michel, M. Hartmann, J. Gemmer, and G. Mahler, Eur. Phys. J. B 34, 325 (2003). 10.1140/epjb/e2003-00228-x
- (2003) Eur. Phys. J. B , vol.34 , pp. 325
- Michel, M.¹ Hartmann, M.² Gemmer, J.³ Mahler, G.⁴

32
- 40949104044
- 10.1140/epjst/e2007-00367-4
- C. Mejia-Monasterio and H. Wichterich, Eur. Phys. J. Spec. Top. 151, 113 (2007). 10.1140/epjst/e2007-00367-4
- (2007) Eur. Phys. J. Spec. Top. , vol.151 , pp. 113
- Mejia-Monasterio, C.¹ Wichterich, H.²

33
- 35148875986
- Transition from diffusive to ballistic dynamics for a class of finite quantum models
- DOI 10.1103/PhysRevLett.99.150601
- R. Steinigeweg, H. P. Breuer, and J. Gemmer, Phys. Rev. Lett. 99, 150601 (2007). 10.1103/PhysRevLett.99.150601 (Pubitemid 47551671)
- (2007) Physical Review Letters , vol.99 , Issue.15 , pp. 150601
- Steinigeweg, R.¹ Breuer, H.-P.² Gemmer, J.³

34
- 0003884610
- Oxford University Press, New York
- R. E. Peierls, Quantum Theory of Solids (Oxford University Press, New York, 2001).
- (2001) Quantum Theory of Solids
- Peierls, R.E.¹

35
- 44949225939
- 10.1103/PhysRevE.77.060101
- L.-A. Wu and D. Segal, Phys. Rev. E 77, 060101 (R) (2008). 10.1103/PhysRevE.77.060101
- (2008) Phys. Rev. e , vol.77 , pp. 060101
- Wu, L.-A.¹ Segal, D.²

36
- 0001732708
- See, e.g. 10.1103/PhysRevE.61.3828;
- See, e.g. B. Hu, B. Li, and H. Zhao, Phys. Rev. E 61, 3828 (2000) 10.1103/PhysRevE.61.3828
- (2000) Phys. Rev. e , vol.61 , pp. 3828
- Hu, B.¹ Li, B.² Zhao, H.³

37
- 33745020913
- Universality of one-dimensional heat conductivity
- DOI 10.1103/PhysRevE.73.061202
- T. Mai and O. Narayan, Phys. Rev. E 73, 061202 (2006). 10.1103/PhysRevE.73.061202 (Pubitemid 43877353)
- (2006) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , vol.73 , Issue.6 , pp. 061202
- Mai, T.¹ Narayan, O.²

38
- 84925147281
- Cambridge University Press, Cambridge
- M. Di Ventra, Electrical Transport in Nanoscale Systems (Cambridge University Press, Cambridge, 2008).
- (2008) Electrical Transport in Nanoscale Systems
- Di Ventra, M.¹

39
- 0001698672
- A similiar model was used to study quantum dots in the mesoscopic regime, where dephasing between the dots leads to the classical rate equations. See, e.g., 10.1103/PhysRevB.57.6602
- A similiar model was used to study quantum dots in the mesoscopic regime, where dephasing between the dots leads to the classical rate equations. See, e.g., S. A. Gurvitz, Phys. Rev. B 57, 6602 (1998) and references therein. 10.1103/PhysRevB.57.6602
- (1998) Phys. Rev. B , vol.57 , pp. 6602
- Gurvitz, S.A.¹

40
- 84929743023
- See, e.g., Cambridge University Press, Cambridge
- See, e.g., E. Akkermans and G. Montambaux, Mesoscopic Physics of Electrons and Photons (Cambridge University Press, Cambridge, 2007).
- (2007) Mesoscopic Physics of Electrons and Photons
- Akkermans, E.¹ Montambaux, G.²

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