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Volumn 46, Issue 3, 2010, Pages 822-852

Markovian perturbation, response and Fluctuation Dissipation Theorem

Author keywords

Dirichlet forms; Fluctuation Dissipation Theorem; Langevin dynamics; Markov processes; Out of equilibrium statistical physics

Indexed keywords


EID: 77955704184     PISSN: 02460203     EISSN: 02460203     Source Type: Journal    
DOI: 10.1214/10-AIHP370     Document Type: Article
Times cited : (20)

References (23)
  • 1
    • 0001119849 scopus 로고
    • Diffusions hypercontractives. In Séminaire de probabilités XIX 179-206
    • Springer, Berlin. MR0889476
    • D. Bakry and M. Emery. Diffusions hypercontractives. In Séminaire de probabilités XIX 179-206. Lecture Notes is Math. 1123. Springer, Berlin, 1985. MR0889476
    • (1985) Lecture Notes Is Math , vol.1123
    • Bakry, D.1    Emery, M.2
  • 3
    • 85055273958 scopus 로고    scopus 로고
    • Large deviations
    • Reprint Edition, Providence, RI
    • J. D. Deuschel and D. W. Stroock. Large Deviations, Reprint edition. Amer. Math. Soc., Providence, RI, 2001.
    • (2001) Amer. Math. Soc.
    • Deuschel, J.D.1    Stroock, D.W.2
  • 4
    • 38249018162 scopus 로고
    • Hypercontractivity and spectral gap of symmetric diffusions with applications to the stochastic Ising models
    • MR1064685
    • J. D. Deuschel and D. W. Stroock. Hypercontractivity and spectral gap of symmetric diffusions with applications to the stochastic Ising models. J. Funct. Anal. 92 (1990) 30-48. MR1064685
    • (1990) J. Funct. Anal. , vol.92 , pp. 30-48
    • Deuschel, J.D.1    Stroock, D.W.2
  • 7
    • 0037631305 scopus 로고    scopus 로고
    • Spectral properties of hypoelliptic operators
    • MR1969727
    • J.-P. Eckmann and M. Hairer. Spectral properties of hypoelliptic operators. Comm. Math. Phys. 235 (2003) 233-257. MR1969727
    • (2003) Comm. Math. Phys. , vol.235 , pp. 233-257
    • Eckmann, J.-P.1    Hairer, M.2
  • 8
    • 84977586068 scopus 로고
    • On the motion of small particles suspended in liquids at rest required by the molecular-kinetic theory of heat
    • A. Einstein. On the motion of small particles suspended in liquids at rest required by the molecular-kinetic theory of heat. Ann. Physics (Leipzig) 17 (1905) 549-560.
    • (1905) Ann. Physics (Leipzig) , vol.17 , pp. 549-560
    • Einstein, A.1
  • 11
    • 0037254036 scopus 로고    scopus 로고
    • Einstein relation for nonequilibrium steady states
    • MR1975934
    • T. Hanney and M. R. Evans. Einstein relation for nonequilibrium steady states. J. Stat. Phys. 111 (2003) 1377-1390. MR1975934
    • (2003) J. Stat. Phys. , vol.111 , pp. 1377-1390
    • Hanney, T.1    Evans, M.R.2
  • 12
    • 0003007839 scopus 로고
    • Diffusions on the infinite dimensional torus
    • MR0620579
    • R. Holley and D. Stroock. Diffusions on the infinite dimensional torus. J. Funct. Anal. 42 (1981) 29-63. MR0620579
    • (1981) J. Funct. Anal. , vol.42 , pp. 29-63
    • Holley, R.1    Stroock, D.2
  • 13
    • 15244346736 scopus 로고
    • Hypoelliptic second order differential equations
    • MR0222474
    • L. Hörmander. Hypoelliptic second order differential equations. Acta Math. 119 (1967) 147-171. MR0222474
    • (1967) Acta Math. , vol.119 , pp. 147-171
    • Hörmander, L.1
  • 14
    • 0042582761 scopus 로고
    • Differential transport coefficients and the fluctuation-dissipation theorem for non-equilibrium steady states
    • MR1255955
    • M. Ichiyanagi. Differential transport coefficients and the fluctuation-dissipation theorem for non-equilibrium steady states. Phys. A 201 (1993) 626-648. MR1255955
    • (1993) Phys. A , vol.201 , pp. 626-648
    • Ichiyanagi, M.1
  • 16
    • 33847327575 scopus 로고
    • The fluctuation-dissipation theorem
    • R. Kubo. The fluctuation-dissipation theorem. Rep. Prog. Phys. 29 (1966) 255-284.
    • (1966) Rep. Prog. Phys. , vol.29 , pp. 255-284
    • Kubo, R.1
  • 19
    • 0000114645 scopus 로고
    • The Einstein relation for the displacement of a test particle in a random environment
    • MR1307334
    • J. L. Lebowitz and H. Rost. The Einstein relation for the displacement of a test particle in a random environment. Stochastic Process. Appl. 54 (1994) 183-196. MR1307334
    • (1994) Stochastic Process. Appl. , vol.54 , pp. 183-196
    • Lebowitz, J.L.1    Rost, H.2
  • 20
    • 14544308291 scopus 로고    scopus 로고
    • Mobility and Einstein relation for a tagged particle in asymmetric mean zero random walk with simple exclusion
    • MR2124642
    • M. Loulakis. Mobility and Einstein relation for a tagged particle in asymmetric mean zero random walk with simple exclusion. Ann. Inst. H. Poincaré Probab. Statist. 41 (2005) 237-254. MR2124642
    • (2005) Ann. Inst. H. Poincaré Probab. Statist. , vol.41 , pp. 237-254
    • Loulakis, M.1
  • 22
    • 36149010109 scopus 로고
    • Thermal agitation of electric charge in conductors
    • H. Nyquist. Thermal agitation of electric charge in conductors. Phys. Rev. 32 (1928) 110-113.
    • (1928) Phys. Rev. , vol.32 , pp. 110-113
    • Nyquist, H.1
  • 23
    • 0001359823 scopus 로고
    • Infinite dimensional stochastic differential equations and their applications
    • MR0591802
    • T. Shiga and A. Shimizu. Infinite dimensional stochastic differential equations and their applications. J. Math. Kyoto Univ. 20 (1980) 395-416. MR0591802
    • (1980) J. Math. Kyoto Univ. , vol.20 , pp. 395-416
    • Shiga, T.1    Shimizu, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.