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Volumn 125, Issue 4, 2006, Pages 805-824

Heat transport in harmonic lattices

Author keywords

Fourier's law; Harmonic crystal; Non equilibrium Green's function; Quantum Langevin equations

Indexed keywords


EID: 33845605072     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-006-9235-3     Document Type: Article
Times cited : (182)

References (46)
  • 2
    • 0006886326 scopus 로고    scopus 로고
    • Fourier's law: A challenge to theorists
    • A. Fokas, A. Grigoryan, T. Kibble, and B. Zegarlinski (eds.), (Imperial College Press, London)
    • F. Bonetto, J. L. Lebowitz, and L. Rey-Bellet, Fourier's law: a challenge to theorists, in A. Fokas, A. Grigoryan, T. Kibble, and B. Zegarlinski (eds.), Mathematical Physics 2000, (Imperial College Press, London, 2000), pp. 128-150.
    • (2000) Mathematical Physics 2000 , pp. 128-150
    • Bonetto, F.1    Lebowitz, J.L.2    Rey-Bellet, L.3
  • 3
    • 0037375035 scopus 로고    scopus 로고
    • Thermal conduction in classical low-dimensional lattices
    • S. Lepri, R. Livi, and A. Politi, Thermal conduction in classical low-dimensional lattices, Phys. Rep. 377:1 (2003).
    • (2003) Phys. Rep. , vol.377 , pp. 1
    • Lepri, S.1    Livi, R.2    Politi, A.3
  • 4
    • 0002167220 scopus 로고    scopus 로고
    • Heat conduction in the diatomic Toda lattice revisited
    • T. Hatano, Heat conduction in the diatomic Toda lattice revisited, Phys. Rev. E 59:R1 (1999);
    • (1999) Phys. Rev. E , vol.59
    • Hatano, T.1
  • 5
    • 0035896824 scopus 로고    scopus 로고
    • Heat conduction in a one-dimensional gas of elastically colliding particles of unequal masses
    • A. Dhar, Heat conduction in a one-dimensional gas of elastically colliding particles of unequal masses, Phys. Rev. Lett. 86:3554 (2001);
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 3554
    • Dhar, A.1
  • 6
    • 19244371029 scopus 로고    scopus 로고
    • Can Disorder Induce a Finite Thermal Conductivity in 1D Lattices?
    • B. Li, H. Zhao, and B. Hu, Can Disorder Induce a Finite Thermal Conductivity in 1D Lattices? Phys. Rev. Lett. 86:63 (2001);
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 63
    • Li, B.1    Zhao, H.2    Hu, B.3
  • 7
    • 0037191482 scopus 로고    scopus 로고
    • Heat conduction and entropy production in a one-dimensional hard-particle gas
    • P. Grassberger, W. Nadler, and L. Yang, Heat conduction and entropy production in a one-dimensional hard-particle gas, Phys. Rev. Lett. 89:180601 (2002);
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 180601
    • Grassberger, P.1    Nadler, W.2    Yang, L.3
  • 8
    • 0037091140 scopus 로고    scopus 로고
    • Heat conduction in one-dimensional systems with hard-point interparticle interactions
    • A. V. Savin, G. P. Tsironis, and A. V. Zolotaryuk, Heat conduction in one-dimensional systems with hard-point interparticle interactions, Phys. Rev. Lett. 88:154301 (2002);
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 154301
    • Savin, A.V.1    Tsironis, G.P.2    Zolotaryuk, A.V.3
  • 9
    • 0038394483 scopus 로고    scopus 로고
    • Anomalous heat conduction in a one-dimensional ideal gas
    • G. Casati and T. Prosen, Anomalous heat conduction in a one-dimensional ideal gas, Phys. Rev. E 67:015203(R) (2003);
    • (2003) Phys. Rev. E , vol.67
    • Casati, G.1    Prosen, T.2
  • 10
    • 1642585861 scopus 로고    scopus 로고
    • Intriguing heat conduction of a chain with transverse motions
    • J. S. Wang and B. Li, Intriguing heat conduction of a chain with transverse motions, Phys. Rev. Lett. 92:074302 (2004).
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 074302
    • Wang, J.S.1    Li, B.2
  • 11
    • 0031095505 scopus 로고    scopus 로고
    • Heat conduction in chains of nonlinear oscillators
    • S. Lepri, R. Livi, and A. Politi, Heat conduction in chains of nonlinear oscillators, Phys. Rev. Lett. 78:1896 (1997).
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 1896
    • Lepri, S.1    Livi, R.2    Politi, A.3
  • 12
    • 0037065129 scopus 로고    scopus 로고
    • Anomalous heat conduction in one-dimensional momentum-conserving systems
    • O. Narayan and S. Ramaswamy, Anomalous heat conduction in one-dimensional momentum-conserving systems, Phys. Rev. Lett. 89:200601 (2002).
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 200601
    • Narayan, O.1    Ramaswamy, S.2
  • 13
    • 0035948074 scopus 로고    scopus 로고
    • Heat conduction in the disordered harmonic chain revisited
    • A. Dhar, Heat conduction in the disordered harmonic chain revisited, Phys. Rev. Lett. 86:5882 (2001).
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 5882
    • Dhar, A.1
  • 17
    • 0001664291 scopus 로고
    • Properties of a harmonic crystal in a stationary nonequilibrium state
    • Z. Rieder, J. L. Lebowitz, and E. Lieb, Properties of a harmonic crystal in a stationary nonequilibrium state, J. Math. Phys. 8:1073 (1967).
    • (1967) J. Math. Phys. , vol.8 , pp. 1073
    • Rieder, Z.1    Lebowitz, J.L.2    Lieb, E.3
  • 18
    • 0001566473 scopus 로고
    • Abnormal lattice thermal conductivity of a one-dimensional, harmonic, isotopically disordered crystal
    • (N.Y.)
    • R. Rubin and W. Greer, Abnormal lattice thermal conductivity of a one-dimensional, harmonic, isotopically disordered crystal, J. Math. Phys. (N.Y.) 12, 1686 (1971).
    • (1971) J. Math. Phys. , vol.12 , pp. 1686
    • Rubin, R.1    Greer, W.2
  • 19
    • 36849100875 scopus 로고
    • Lebowitz, Heat conduction and sound transmission in isotopically disordered harmonic crystals
    • A. J. O'Connor and J. L. Lebowitz, Heat conduction and sound transmission in isotopically disordered harmonic crystals, J. Math. Phys. 15:692 (1974).
    • (1974) J. Math. Phys. , vol.15 , pp. 692
    • O'Connor, A.J.1    Lebowitz, J.L.2
  • 20
    • 27144495767 scopus 로고    scopus 로고
    • Heat Conduction in a two-dimensional harmonic crystal with disorder
    • L. W. Lee and A. Dhar, Heat Conduction in a two-dimensional harmonic crystal with disorder, Phys. Rev. Lett. 95:094302 (2005).
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 094302
    • Lee, L.W.1    Dhar, A.2
  • 21
    • 0038372988 scopus 로고
    • Quantum transport for a many-body system using a quantum Langevin-equation approach
    • G. Y. Hu and R. F. O'Connell, Quantum transport for a many-body system using a quantum Langevin-equation approach, Phys. Rev. B 36:5798 (1987).
    • (1987) Phys. Rev. B , vol.36 , pp. 5798
    • Hu, G.Y.1    O'Connell, R.F.2
  • 22
    • 0000576566 scopus 로고
    • Influence of the environment on the Coulomb blockade in submicrometer normal-metal tunnel junctions
    • A.N. Cleland, J. M. Schmidt, and J. Clarke, Influence of the environment on the Coulomb blockade in submicrometer normal-metal tunnel junctions, Phys. Rev. B 45:2950 (1992);
    • (1992) Phys. Rev. B , vol.45 , pp. 2950
    • Cleland, A.N.1    Schmidt, J.M.2    Clarke, J.3
  • 23
    • 19444380804 scopus 로고
    • Charge fluctuations and zero-bias resistance in small-capacitance tunnel junctions
    • G. Y. Hu and R. F. O'Connell, Charge fluctuations and zero-bias resistance in small-capacitance tunnel junctions, Phys. Rev. B 49:16505 (1994),
    • (1994) Phys. Rev. B , vol.49 , pp. 16505
    • Hu, G.Y.1    O'Connell, R.F.2
  • 24
    • 0347793457 scopus 로고
    • Phys. Rev. B 46:14219 (1992).
    • (1992) Phys. Rev. B , vol.46 , pp. 14219
  • 25
    • 0001826322 scopus 로고
    • Dissipative quantum dynamics in a boson bath
    • Y.-C. Chen, J. L. Lebowitz, and C. Liverani, Dissipative quantum dynamics in a boson bath, Phys. Rev. B 40:4664 (1989).
    • (1989) Phys. Rev. B , vol.40 , pp. 4664
    • Chen, Y.-C.1    Lebowitz, J.L.2    Liverani, C.3
  • 26
    • 5244350182 scopus 로고
    • Quantum-mechanical harmonic chain attached to heat baths. II. Nonequilibrium properties
    • U. Zurcher and P. Talkner, Quantum-mechanical harmonic chain attached to heat baths. II. Nonequilibrium properties, Phys. Rev. A 42:3278 (1990).
    • (1990) Phys. Rev. A , vol.42 , pp. 3278
    • Zurcher, U.1    Talkner, P.2
  • 27
    • 0001024707 scopus 로고    scopus 로고
    • Energy transport in the integrable system in contact with various types of phonon reservoirs
    • K. Saito, S. Takesue, and S. Miyashita, Energy transport in the integrable system in contact with various types of phonon reservoirs, Phys. Rev. E 61:2397 (2000).
    • (2000) Phys. Rev. E , vol.61 , pp. 2397
    • Saito, K.1    Takesue, S.2    Miyashita, S.3
  • 28
    • 0038503254 scopus 로고    scopus 로고
    • Quantum transport using the Ford-Kac-Mazur formalism
    • A. Dhar and B. S. Shastry, Quantum transport using the Ford-Kac-Mazur formalism, Phys. Rev. B 67:195405 (2003).
    • (2003) Phys. Rev. B , vol.67 , pp. 195405
    • Dhar, A.1    Shastry, B.S.2
  • 29
    • 0142020872 scopus 로고    scopus 로고
    • Thermal conductance through molecular wires
    • D. Segal, A. Nitzan and P. Hanggi, Thermal conductance through molecular wires, J. Chem. Phys. 119:6840 (2003).
    • (2003) J. Chem. Phys. , vol.119 , pp. 6840
    • Segal, D.1    Nitzan, A.2    Hanggi, P.3
  • 30
    • 33644624899 scopus 로고    scopus 로고
    • Nonequilibrium Green's function formalism and the problem of bound states
    • A. Dhar and D. Sen, Nonequilibrium Green's function formalism and the problem of bound states, Phys. Rev. B 73:085119 (2006).
    • (2006) Phys. Rev. B , vol.73 , pp. 085119
    • Dhar, A.1    Sen, D.2
  • 32
    • 0001131730 scopus 로고
    • Correlations in coherent multiple scattering
    • R. Berkovits and S. Feng, Correlations in coherent multiple scattering, Phys. Reps. 238:135 (1994).
    • (1994) Phys. Reps. , vol.238 , pp. 135
    • Berkovits, R.1    Feng, S.2
  • 33
    • 11044224156 scopus 로고    scopus 로고
    • Quantized thermal conductance of dielectric quantum wires
    • L. G. C. Rego and G. Kirczenow, Quantized thermal conductance of dielectric quantum wires, Phys. Rev. Lett. 81:232 (1998).
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 232
    • Rego, L.G.C.1    Kirczenow, G.2
  • 34
    • 0000567186 scopus 로고    scopus 로고
    • Quantum energy flow in mesoscopic dielectric structures
    • M. P. Blencowe, Quantum energy flow in mesoscopic dielectric structures, Phys. Rev. B 59:4992 (1999).
    • (1999) Phys. Rev. B , vol.59 , pp. 4992
    • Blencowe, M.P.1
  • 35
    • 33745625862 scopus 로고    scopus 로고
    • Nonequilibrium Green's function approach to phonon transport in defective carbon nanotubes
    • T. Yamamoto and K. Watanabe, Nonequilibrium Green's function approach to phonon transport in defective carbon nanotubes, Phys. Rev. Lett. 96:255503 (2006).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 255503
    • Yamamoto, T.1    Watanabe, K.2
  • 36
    • 3643122627 scopus 로고
    • Landauer formula for the current through an interacting electron region
    • Y. Meir and N. S. Wingreen, Landauer formula for the current through an interacting electron region, Phys. Rev. Lett. 68:2512 (1992).
    • (1992) Phys. Rev. Lett. , vol.68 , pp. 2512
    • Meir, Y.1    Wingreen, N.S.2
  • 38
    • 0012128392 scopus 로고
    • Simulation of nonharmonic interactions in a crystal by self-consistent reservoirs
    • M. Bolsterli, M. Rich, and W. M. Visscher, Simulation of nonharmonic interactions in a crystal by self-consistent reservoirs, Phys. Rev. A 4:1086 (1970).
    • (1970) Phys. Rev. A , vol.4 , pp. 1086
    • Bolsterli, M.1    Rich, M.2    Visscher, W.M.3
  • 39
    • 4344578348 scopus 로고
    • Disordered harmonic chain with self-consistent reservoirs
    • M. Rich and W. M. Visscher, Disordered harmonic chain with self-consistent reservoirs, Phys. Rev. B 11:2164 (1975).
    • (1975) Phys. Rev. B , vol.11 , pp. 2164
    • Rich, M.1    Visscher, W.M.2
  • 40
    • 5244314879 scopus 로고
    • Stationary nonequilibrium properties of a quantum-mechanical lattice with self-consistent reservoirs
    • W. M. Visscher and M. Rich, Stationary nonequilibrium properties of a quantum-mechanical lattice with self-consistent reservoirs, Phys. Rev. A 12:675 (1975).
    • (1975) Phys. Rev. A , vol.12 , pp. 675
    • Visscher, W.M.1    Rich, M.2
  • 41
    • 4344644671 scopus 로고    scopus 로고
    • Fourier's law for a harmonic crystal with self-consistent reservoirs
    • F. Bonetto, J. L. Lebowitz, and J. Lukkarinen, Fourier's law for a harmonic crystal with self-consistent reservoirs, J. Stat. Phys. 116:783 (2004).
    • (2004) J. Stat. Phys. , vol.116 , pp. 783
    • Bonetto, F.1    Lebowitz, J.L.2    Lukkarinen, J.3
  • 42
    • 0034720290 scopus 로고    scopus 로고
    • Measurement of the quantum of thermal conductance
    • K. Schwab, E. A. Henriksen, J. M. Worlock, and M. L. Roukes, Measurement of the quantum of thermal conductance, Nature 404:974 (2000).
    • (2000) Nature , vol.404 , pp. 974
    • Schwab, K.1    Henriksen, E.A.2    Worlock, J.M.3    Roukes, M.L.4
  • 43
    • 0000592654 scopus 로고
    • Small normal-metal loop coupled to an electron reservoir
    • M. Buttiker, Small normal-metal loop coupled to an electron reservoir, Phys. Rev. B 32:1846 (1985).
    • (1985) Phys. Rev. B , vol.32 , pp. 1846
    • Buttiker, M.1
  • 44
    • 24844461245 scopus 로고
    • Role of quantum coherence in series resistors
    • M. Buttiker, Role of quantum coherence in series resistors, Phys. Rev. B 33:3020 (1986).
    • (1986) Phys. Rev. B , vol.33 , pp. 3020
    • Buttiker, M.1
  • 46
    • 27144471823 scopus 로고    scopus 로고
    • Nonadiabatic electron pumping: Maximal current with minimal noise
    • M. Strass, P. Hanggi, and S. Kohler,Nonadiabatic electron pumping: maximal current with minimal noise, Phys. Rev. Lett. 95:130601 (2005).
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 130601
    • Strass, M.1    Hanggi, P.2    Kohler, S.3


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