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Volumn 199, Issue 3-4, 2004, Pages 279-316

Fitting SDE models to nonlinear Kac-Zwanzig heat bath models

Author keywords

Hamiltonian systems; Heat bath; Nonlinear oscillators; Stochastic differential equations

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; HAMILTONIANS; HEURISTIC METHODS; NONLINEAR EQUATIONS; OSCILLATORS (MECHANICAL); TIME SERIES ANALYSIS;

EID: 10644231733     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2004.04.011     Document Type: Article
Times cited : (25)

References (31)
  • 1
    • 6144273098 scopus 로고
    • Statistical mechanics of assemblies of coupled oscillators
    • G. Ford, M. Kac, P. Mazur, Statistical mechanics of assemblies of coupled oscillators, J. Math. Phys. 6 (1965) 504-515.
    • (1965) J. Math. Phys. , vol.6 , pp. 504-515
    • Ford, G.1    Kac, M.2    Mazur, P.3
  • 2
    • 0000309970 scopus 로고
    • On the quantum Langevin equation
    • G. Ford, M. Kac, On the quantum Langevin equation, J. Stat. Phys. 46 (1987) 803-810.
    • (1987) J. Stat. Phys. , vol.46 , pp. 803-810
    • Ford, G.1    Kac, M.2
  • 3
    • 18844402460 scopus 로고
    • Nonlinear generalized Langevin equations
    • R. Zwanzig, Nonlinear generalized Langevin equations, J. Stat. Phys. 9 (1973) 215-220.
    • (1973) J. Stat. Phys. , vol.9 , pp. 215-220
    • Zwanzig, R.1
  • 4
    • 0033235604 scopus 로고    scopus 로고
    • Analysis and experiments for a computational model of a heat bath
    • A. Stuart, J. Warren, Analysis and experiments for a computational model of a heat bath, J. Stat. Phys. 97 (1999) 687-723.
    • (1999) J. Stat. Phys. , vol.97 , pp. 687-723
    • Stuart, A.1    Warren, J.2
  • 5
    • 0347871554 scopus 로고    scopus 로고
    • Under-resolved simulations of heat baths
    • B. Cano, A. Stuart, Under-resolved simulations of heat baths, J. Comp. Phys. 169 (2001) 193-214.
    • (2001) J. Comp. Phys. , vol.169 , pp. 193-214
    • Cano, B.1    Stuart, A.2
  • 6
    • 0036112005 scopus 로고    scopus 로고
    • Asymptotic and numerical analyses for mechanical models of heat baths
    • O. Hald, R. Kupferman, Asymptotic and numerical analyses for mechanical models of heat baths, J. Stat. Phys. 106 (2002) 1121-1184.
    • (2002) J. Stat. Phys. , vol.106 , pp. 1121-1184
    • Hald, O.1    Kupferman, R.2
  • 8
    • 0034612230 scopus 로고    scopus 로고
    • Optimal prediction of stiff oscillatory mechanics
    • A. Kast, Optimal prediction of stiff oscillatory mechanics, Proc. Natl. Acad. Sci. USA 97 (2000) 6253-6257.
    • (2000) Proc. Natl. Acad. Sci. USA , vol.97 , pp. 6253-6257
    • Kast, A.1
  • 9
    • 2442444326 scopus 로고    scopus 로고
    • Extracting macroscopic stochastic dynamics: Model problems
    • W. Huisinga, C. Schütte, A. Stuart, Extracting macroscopic stochastic dynamics: model problems, Commun. Pure Appl. Math. 56 (2003) 234-269.
    • (2003) Commun. Pure Appl. Math. , vol.56 , pp. 234-269
    • Huisinga, W.1    Schütte, C.2    Stuart, A.3
  • 10
    • 0347975177 scopus 로고    scopus 로고
    • Long term behaviour of large mechanical systems with random initial data
    • R. Kupferman, A. Stuart, J. Terry, P. Tupper, Long term behaviour of large mechanical systems with random initial data, Stoch. Dyn. 2 (2002) 533-562.
    • (2002) Stoch. Dyn. , vol.2 , pp. 533-562
    • Kupferman, R.1    Stuart, A.2    Terry, J.3    Tupper, P.4
  • 11
    • 0000561678 scopus 로고
    • Molecular dynamics of conformational substrates for a simplified protein model
    • H. Grubmüller, P. Tavan, Molecular dynamics of conformational substrates for a simplified protein model, J. Chem. Phys. 101 (1994) 5047-5057.
    • (1994) J. Chem. Phys. , vol.101 , pp. 5047-5057
    • Grubmüller, H.1    Tavan, P.2
  • 12
    • 0037105977 scopus 로고    scopus 로고
    • A priori tests of a stochastic mode reduction strategy
    • A. Majda, I. Timofeyev, E. Vanden-Eijnden, A priori tests of a stochastic mode reduction strategy, Physica D 170 (2002) 206-252.
    • (2002) Physica D , vol.170 , pp. 206-252
    • Majda, A.1    Timofeyev, I.2    Vanden-Eijnden, E.3
  • 14
    • 0000864572 scopus 로고
    • From dynamics to thermodynamics: Linear response and statistical mechanics
    • M. Bianucci, R. Mannella, B. West, P. Grigolini, From dynamics to thermodynamics: linear response and statistical mechanics, Phys. Rev. E 51 (1995) 3002-3022.
    • (1995) Phys. Rev. E , vol.51 , pp. 3002-3022
    • Bianucci, M.1    Mannella, R.2    West, B.3    Grigolini, P.4
  • 15
    • 0001724227 scopus 로고    scopus 로고
    • Linear response of Hamiltonian chaotic systems as a function of the number of degrees of freedom
    • M. Bianucci, R. Mannella, Linear response of Hamiltonian chaotic systems as a function of the number of degrees of freedom, Phys. Rev. Lett. 77 (1996) 1258-1261.
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 1258-1261
    • Bianucci, M.1    Mannella, R.2
  • 16
    • 36549101755 scopus 로고
    • On the generalized Langevin equation: Classical and quantum mechanical
    • E. Cortes, B. West, K. Lindenberg, On the generalized Langevin equation: classical and quantum mechanical, J. Chem. Phys. 82 (1985) 2708-2717.
    • (1985) J. Chem. Phys. , vol.82 , pp. 2708-2717
    • Cortes, E.1    West, B.2    Lindenberg, K.3
  • 17
    • 0001435361 scopus 로고
    • Nonlinear noise in cosmology
    • S. Habib, H. Kandrup, Nonlinear noise in cosmology, Phys. Rev. D 46 (1992) 5303-5314.
    • (1992) Phys. Rev. D , vol.46 , pp. 5303-5314
    • Habib, S.1    Kandrup, H.2
  • 18
    • 49149137092 scopus 로고
    • Dissipative contributions of internal multiplicative noise. I. Mechanical oscillator
    • K. Lindenberg, V. Seshadri, Dissipative contributions of internal multiplicative noise. I. Mechanical oscillator, Physica A 109 (1981) 483-499.
    • (1981) Physica A , vol.109 , pp. 483-499
    • Lindenberg, K.1    Seshadri, V.2
  • 19
    • 0001281549 scopus 로고
    • Quasiclassical equations of motion for nonlinear Brownian systems
    • T. Brun, Quasiclassical equations of motion for nonlinear Brownian systems, Phys. Rev. D 47 (1993) 3383-3393.
    • (1993) Phys. Rev. D , vol.47 , pp. 3383-3393
    • Brun, T.1
  • 20
    • 24244447649 scopus 로고
    • Quantum Brownian motion in a general environment. II. Nonlinear coupling and perturbative approach
    • B. Hu, J. Paz, Y. Zhang, Quantum Brownian motion in a general environment. II. Nonlinear coupling and perturbative approach, Phys. Rev. D 47 (1993) 1576-1594.
    • (1993) Phys. Rev. D , vol.47 , pp. 1576-1594
    • Hu, B.1    Paz, J.2    Zhang, Y.3
  • 23
    • 0033751055 scopus 로고    scopus 로고
    • Remarkable statistical behavior for truncated burgers-hopf dynamics
    • A. Majda, I. Timofeyev, Remarkable statistical behavior for truncated Burgers-Hopf dynamics, Proc. Natl. Acad. Sci. USA 97 (2000) 12413-12417.
    • (2000) Proc. Natl. Acad. Sci. USA , vol.97 , pp. 12413-12417
    • Majda, A.1    Timofeyev, I.2
  • 29
    • 0347975171 scopus 로고    scopus 로고
    • Fractional kinetics in Kac-Zwanzig heat bath models
    • R. Kupferman, Fractional kinetics in Kac-Zwanzig heat bath models, J. Stat. Phys. 114 (2004) 291-326.
    • (2004) J. Stat. Phys. , vol.114 , pp. 291-326
    • Kupferman, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.