메뉴 건너뛰기




Volumn 265, Issue 3, 2006, Pages 721-738

The Green-Kubo formula and the onsager reciprocity relations in Quantum statistical mechanics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33745305527     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-006-0004-6     Document Type: Article
Times cited : (42)

References (37)
  • 2
    • 33745325212 scopus 로고    scopus 로고
    • Asymptotic time evolution of a partitioned infinite two-sided isotropic XY-chain
    • [AH] Tr. Mat. Inst. Steklova, 228
    • [AH] Araki, H., Ho, T.G: Asymptotic time evolution of a partitioned infinite two-sided isotropic XY-chain. Tr. Mat. Inst. Steklova, 228 Probl. Sovrem. Mat. Fiz., 203, (2000);
    • (2000) Probl. Sovrem. Mat. Fiz. , vol.203
    • Araki, H.1    Ho, T.G.2
  • 4
    • 0037829570 scopus 로고    scopus 로고
    • Non-equilibrium steady states of the XY chain
    • [AP]
    • [AP] Aschbacher, W., Pillet, C-A.: Non-equilibrium steady states of the XY chain. J. Stat. Phys. 12, 1153 (2003)
    • (2003) J. Stat. Phys. , vol.12 , pp. 1153
    • Aschbacher, W.1    Pillet, C.-A.2
  • 7
    • 0141842174 scopus 로고
    • Spin interaction with an ideal Fermi gas
    • [AM]
    • [AM] Aizenstadt, V.V., Malyshev, V.A.: Spin interaction with an ideal Fermi gas. J. Stat. Phys. 48, 51 (1987)
    • (1987) J. Stat. Phys. , vol.48 , pp. 51
    • Aizenstadt, V.V.1    Malyshev, V.A.2
  • 8
    • 33745316073 scopus 로고
    • Unitary equivalence of temperature dynamics for ideal and locally perturbed Fermi gas
    • [BM]
    • [BM] Botvich, D.D., Malyshev, V.A.: Unitary equivalence of temperature dynamics for ideal and locally perturbed Fermi gas. Commun. Math. Phys. 61, 209 (1978)
    • (1978) Commun. Math. Phys. , vol.61 , pp. 209
    • Botvich, D.D.1    Malyshev, V.A.2
  • 9
    • 23844514826 scopus 로고    scopus 로고
    • Linear response theory for magnetic Schrödinger operators in disordered media
    • [BGKS]
    • [BGKS] Bouclet, J.M., Germinet, F., Klein, A., Schenker, J.H.: Linear response theory for magnetic Schrödinger operators in disordered media. J. Funct. Anal. 226, 301 (2005)
    • (2005) J. Funct. Anal. , vol.226 , pp. 301
    • Bouclet, J.M.1    Germinet, F.2    Klein, A.3    Schenker, J.H.4
  • 13
    • 0002335432 scopus 로고
    • Markovian master equations
    • [Da]
    • [Da] Davies, E.B.: Markovian master equations. Commun. Math. Phys. 39, 91 (1974)
    • (1974) Commun. Math. Phys. , vol.39 , pp. 91
    • Davies, E.B.1
  • 15
    • 0041829272 scopus 로고    scopus 로고
    • Perturbation theory of W*-dynamics, KMS-states and Liouvilleans
    • [DJP]
    • [DJP] Dereziński, J., Jakšić, V., Fillet, C.-A.: Perturbation theory of W*-dynamics, KMS-states and Liouvilleans. Rev. Math. Phys. 15, 447 (2003)
    • (2003) Rev. Math. Phys. , vol.15 , pp. 447
    • Dereziński, J.1    Jakšić, V.2    Fillet, C.-A.3
  • 16
    • 0344925536 scopus 로고    scopus 로고
    • Dissipative transport: Thermal contacts and tunneling junctions
    • [FMU]
    • [FMU] Fröhlich, J., Merkli, M., Ueltschi, D.: Dissipative transport: thermal contacts and tunneling junctions. Ann. Henri Poincaré 4, 897 (2004)
    • (2004) Ann. Henri Poincaré , vol.4 , pp. 897
    • Fröhlich, J.1    Merkli, M.2    Ueltschi, D.3
  • 17
    • 11144333439 scopus 로고
    • About the exactness of the linear response theory
    • [GVV1]
    • [GVV1] Goderis, D., Verbeure, A., Vets, P.: About the exactness of the linear response theory. Commun. Math. Phys. 136, 265 (1991)
    • (1991) Commun. Math. Phys. , vol.136 , pp. 265
    • Goderis, D.1    Verbeure, A.2    Vets, P.3
  • 18
    • 0347525417 scopus 로고
    • Theory of quantum fluctuations and the Onsager relations
    • [GVV2]
    • [GVV2] Goderis, D., Verbeure, A., Vets, P.: Theory of quantum fluctuations and the Onsager relations. J. Stat. Phys. 56, 721 (1989)
    • (1989) J. Stat. Phys. , vol.56 , pp. 721
    • Goderis, D.1    Verbeure, A.2    Vets, P.3
  • 19
    • 33747510301 scopus 로고    scopus 로고
    • Linear response theory for thermally driven open quantum systems
    • [JOP1] in press
    • [JOP1] Jakšić, V., Ogata, Y., Pillet, C.-A.: Linear response theory for thermally driven open quantum systems. J. Stat. Phys. (in press)
    • J. Stat. Phys.
    • Jakšić, V.1    Ogata, Y.2    Pillet, C.-A.3
  • 21
    • 33745312154 scopus 로고    scopus 로고
    • [JOP3] Jakšić, V., Ogata, Y., Pillet, C.-A.: in preparation
    • [JOP3] Jakšić, V., Ogata, Y., Pillet, C.-A.: in preparation
  • 22
    • 0035529876 scopus 로고    scopus 로고
    • On entropy production in quantum statistical mechanics
    • [JP1]
    • [JP1] Jakšić, V., Pillet, C-A.: On entropy production in quantum statistical mechanics. Commun. Math. Phys. 217, 285 (2001)
    • (2001) Commun. Math. Phys. , vol.217 , pp. 285
    • Jakšić, V.1    Pillet, C.-A.2
  • 23
    • 0036002932 scopus 로고    scopus 로고
    • Non-equilibrium steady states for finite quantum systems coupled to thermal reservoirs
    • [JP2]
    • [JP2] Jakšić, V., Pillet, C.-A.: Non-equilibrium steady states for finite quantum systems coupled to thermal reservoirs. Commun. Math. Phys. 226, 131 (2002)
    • (2002) Commun. Math. Phys. , vol.226 , pp. 131
    • Jakšić, V.1    Pillet, C.-A.2
  • 24
    • 0141561928 scopus 로고    scopus 로고
    • Mathematical theory of non-equilibrium quantum statistical mechanics
    • [JP3]
    • [JP3] Jakšić, V., Pillet, C.-A.: Mathematical theory of non-equilibrium quantum statistical mechanics. J. Stat. Phys. 108, 787 (2002)
    • (2002) J. Stat. Phys. , vol.108 , pp. 787
    • Jakšić, V.1    Pillet, C.-A.2
  • 26
    • 0000963638 scopus 로고
    • Irreversible thermodynamics for quantum systems weakly coupled to thermal reservoirs
    • [LeSp]
    • [LeSp] Lebowitz, J., Spohn, H.: Irreversible thermodynamics for quantum systems weakly coupled to thermal reservoirs. Adv. Chem. Phys. 39, 109 (1978)
    • (1978) Adv. Chem. Phys. , vol.39 , pp. 109
    • Lebowitz, J.1    Spohn, H.2
  • 28
    • 0007280326 scopus 로고
    • Return to equilibrium
    • [Ro1]
    • [Ro1] Robinson, D.W.: Return to equilibrium. Commun. Math. Phys. 31, 171 (1973)
    • (1973) Commun. Math. Phys. , vol.31 , pp. 171
    • Robinson, D.W.1
  • 29
    • 0034341528 scopus 로고    scopus 로고
    • Natural nonequilibrium states in quantum statistical mechanics
    • [Ru1]
    • [Ru1] Ruelle, D.: Natural nonequilibrium states in quantum statistical mechanics. J. Stat. Phys. 98, 57 (2000)
    • (2000) J. Stat. Phys. , vol.98 , pp. 57
    • Ruelle, D.1
  • 30
    • 0035539914 scopus 로고    scopus 로고
    • Entropy production in quantum spin systems
    • [Ru2]
    • [Ru2] Ruelle, D.: Entropy production in quantum spin systems. Commun. Math. Phys. 224, 3 (2001)
    • (2001) Commun. Math. Phys. , vol.224 , pp. 3
    • Ruelle, D.1
  • 32
    • 0033246861 scopus 로고    scopus 로고
    • Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics
    • [Ru4]
    • [Ru4] Ruelle, D.: Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics. J. Stat. Phys. 95, 393 (1999)
    • (1999) J. Stat. Phys. , vol.95 , pp. 393
    • Ruelle, D.1
  • 33
    • 0031548918 scopus 로고    scopus 로고
    • Differentiation of SRB states
    • [Ru5]
    • [Ru5] Ruelle, D.: Differentiation of SRB states. Commun. Math. Phys. 187, 227 (1997)
    • (1997) Commun. Math. Phys. , vol.187 , pp. 227
    • Ruelle, D.1
  • 34
    • 33745302440 scopus 로고    scopus 로고
    • Fluctuation theorem, nonequilibrium steady states and MacLennan-Zubarev ensembles of a class of large quantum systems
    • [TM] Fundamental Aspects of Quantum Physics (Tokyo, 2001). QP-PQ: Quantum Probab. River Edge NJ: World Sci.
    • [TM] Tasaki, S., Matsui, T.: Fluctuation theorem, nonequilibrium steady states and MacLennan-Zubarev ensembles of a class of large quantum systems. In: Fundamental Aspects of Quantum Physics (Tokyo, 2001). QP-PQ: Quantum Probab. White Noise Anal., 17. River Edge NJ: World Sci., 2003, p. 100
    • (2003) White Noise Anal. , vol.17 , pp. 100
    • Tasaki, S.1    Matsui, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.