메뉴 건너뛰기




Volumn 117, Issue 8, 2007, Pages 1076-1092

Existence and uniqueness of an invariant measure for a chain of oscillators in contact with two heat baths

Author keywords

Hamiltonian chain; Harmonic oscillator; Heat bath; Invariant measure

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; ELECTRIC CONTACTS; ENTROPY; HARMONIC ANALYSIS; LYAPUNOV FUNCTIONS; MEASUREMENT THEORY;

EID: 34347326282     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2006.12.003     Document Type: Article
Times cited : (50)

References (15)
  • 1
    • 0010038085 scopus 로고    scopus 로고
    • Pathwise uniqueness and approximation of solutions of stochastic differential equations
    • Séminaire de Probabilités, XXXII, Springer, Berlin MR MR1655150 (99j:60078)
    • Bahlali K., Mezerdi B., and Ouknine Y. Pathwise uniqueness and approximation of solutions of stochastic differential equations. Séminaire de Probabilités, XXXII. Lecture Notes in Math. vol. 1686 (1998), Springer, Berlin 166-187 MR MR1655150 (99j:60078)
    • (1998) Lecture Notes in Math. , vol.1686 , pp. 166-187
    • Bahlali, K.1    Mezerdi, B.2    Ouknine, Y.3
  • 2
    • 28644441976 scopus 로고    scopus 로고
    • Fourier's law for a microscopic model of heat conduction
    • MR MR2185330
    • Bernardin C., and Olla S. Fourier's law for a microscopic model of heat conduction. J. Statist. Phys. 121 3-4 (2005) 271-289 MR MR2185330
    • (2005) J. Statist. Phys. , vol.121 , Issue.3-4 , pp. 271-289
    • Bernardin, C.1    Olla, S.2
  • 3
    • 0034349280 scopus 로고    scopus 로고
    • Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators
    • MR MR1764365 (2001f:82040)
    • Eckmann J.-P., and Hairer M. Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators. Comm. Math. Phys. 212 1 (2000) 105-164 MR MR1764365 (2001f:82040)
    • (2000) Comm. Math. Phys. , vol.212 , Issue.1 , pp. 105-164
    • Eckmann, J.-P.1    Hairer, M.2
  • 4
    • 0033243772 scopus 로고    scopus 로고
    • Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures
    • MR MR1685893 (2000d:82025)
    • Eckmann J.-P., Pillet C.-A., and Rey-Bellet L. Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures. Comm. Math. Phys. 201 3 (1999) 657-697 MR MR1685893 (2000d:82025)
    • (1999) Comm. Math. Phys. , vol.201 , Issue.3 , pp. 657-697
    • Eckmann, J.-P.1    Pillet, C.-A.2    Rey-Bellet, L.3
  • 5
    • 0033114736 scopus 로고    scopus 로고
    • Entropy production in nonlinear, thermally driven Hamiltonian systems
    • MR MR1705589 (2000h:82075)
    • Eckmann J.-P., Pillet C.-A., and Rey-Bellet L. Entropy production in nonlinear, thermally driven Hamiltonian systems. J. Statist. Phys. 95 1-2 (1999) 305-331 MR MR1705589 (2000h:82075)
    • (1999) J. Statist. Phys. , vol.95 , Issue.1-2 , pp. 305-331
    • Eckmann, J.-P.1    Pillet, C.-A.2    Rey-Bellet, L.3
  • 6
    • 15244346736 scopus 로고
    • Hypoelliptic second order differential equations
    • MR MR0222474 (36 #5526)
    • Hörmander L. Hypoelliptic second order differential equations. Acta Math. 119 (1967) 147-171 MR MR0222474 (36 #5526)
    • (1967) Acta Math. , vol.119 , pp. 147-171
    • Hörmander, L.1
  • 7
    • 84856372145 scopus 로고    scopus 로고
    • Normal heat conductivity in a strongly pinned chain of anharmonic oscillators
    • Lefevere R., and Schenkel A. Normal heat conductivity in a strongly pinned chain of anharmonic oscillators. J. Stat. Mech. Theory Exp. 2006 02 (2006) L02001
    • (2006) J. Stat. Mech. Theory Exp. , vol.2006 , Issue.2
    • Lefevere, R.1    Schenkel, A.2
  • 8
    • 0036435161 scopus 로고    scopus 로고
    • Fluctuations of the entropy production in anharmonic chains
    • MR MR1915300 (2003g:82060)
    • Rey-Bellet L., and Thomas L.E. Fluctuations of the entropy production in anharmonic chains. Ann. Henri Poincaré 3 3 (2002) 483-502 MR MR1915300 (2003g:82060)
    • (2002) Ann. Henri Poincaré , vol.3 , Issue.3 , pp. 483-502
    • Rey-Bellet, L.1    Thomas, L.E.2
  • 11
    • 17844370611 scopus 로고    scopus 로고
    • Statistical mechanics of anharmonic lattices
    • Advances in Differential Equations and Mathematical Physics (Birmingham, AL, 2002), Amer. Math. Soc., Providence, RI MR MR1991548 (2005a:82068)
    • Rey-Bellet L. Statistical mechanics of anharmonic lattices. Advances in Differential Equations and Mathematical Physics (Birmingham, AL, 2002). Contemp. Math. vol. 327 (2003), Amer. Math. Soc., Providence, RI 283-298 MR MR1991548 (2005a:82068)
    • (2003) Contemp. Math. , vol.327 , pp. 283-298
    • Rey-Bellet, L.1
  • 12
    • 0034336318 scopus 로고    scopus 로고
    • Asymptotic behavior of thermal nonequilibrium steady states for a driven chain of anharmonic oscillators
    • MR MR1799873 (2001k:82061)
    • Rey-Bellet L., and Thomas L.E. Asymptotic behavior of thermal nonequilibrium steady states for a driven chain of anharmonic oscillators. Comm. Math. Phys. 215 1 (2000) 1-24 MR MR1799873 (2001k:82061)
    • (2000) Comm. Math. Phys. , vol.215 , Issue.1 , pp. 1-24
    • Rey-Bellet, L.1    Thomas, L.E.2
  • 13
    • 0347344937 scopus 로고    scopus 로고
    • Exponential convergence to non-equilibrium stationary states in classical statistical mechanics
    • MR MR1889227 (2003f:82052)
    • Rey-Bellet L., and Thomas L.E. Exponential convergence to non-equilibrium stationary states in classical statistical mechanics. Comm. Math. Phys. 225 2 (2002) 305-329 MR MR1889227 (2003f:82052)
    • (2002) Comm. Math. Phys. , vol.225 , Issue.2 , pp. 305-329
    • Rey-Bellet, L.1    Thomas, L.E.2
  • 14
    • 0000395295 scopus 로고
    • On the support of diffusion processes with applications to the strong maximum principle
    • Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (Univ. California, Berkeley, Calif., 1970/1971), Univ. California Press MR MR0400425 (53 #4259)
    • Stroock D.W., and Varadhan S.R.S. On the support of diffusion processes with applications to the strong maximum principle. Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (Univ. California, Berkeley, Calif., 1970/1971). Probability Theory (Berkeley, Calif.) vol. III (1972), Univ. California Press 333-359 MR MR0400425 (53 #4259)
    • (1972) Probability Theory (Berkeley, Calif.) , vol.III , pp. 333-359
    • Stroock, D.W.1    Varadhan, S.R.S.2
  • 15
    • 0003520365 scopus 로고
    • Linear multivariable control: A geometric approach
    • Springer-Verlag, New York MR MR569358 (81f:93049a)
    • Murray Wonham W. Linear multivariable control: A geometric approach. Applications of Mathematics. second ed. vol. 10 (1979), Springer-Verlag, New York MR MR569358 (81f:93049a)
    • (1979) Applications of Mathematics. second ed. , vol.10
    • Murray Wonham, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.