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Auteur S. Nordholm
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Faire une suggestion Affiner la rechercheJournal of statistical physics, Vol.13 No.4. A systematic derivation of exact generalized Brownian motion theory / S. Nordholm
in Journal of statistical physics
Titre de série : Journal of statistical physics, Vol.13 No.4 Titre : A systematic derivation of exact generalized Brownian motion theory Type de document : articles et extraits Auteurs : S. Nordholm, Auteur ; R. Zwanzig, Auteur Année de publication : 1975 Importance : p.347-371 ISBN/ISSN/EAN : 0022-4715 Langues : Français (fre) Mots-clés : Generalized Brownian motion - projection operator - Langevin equation - Fokker-Planck equation - nonlinear transport equations - time-dependent external field - Wigner phase space density Résumé : We present here a simple unified derivation of the exact Fokker-Planck equation obtained earlier by Zwanzig and the exact Langevin and transport equations derived by Mori. The derivation, based on the use of a Hilbert space formulation of the dynamics, leads to substantial generalizations of these results in a straightforward manner. We obtain nonlinear Langevin equations for classical systems and discuss the extension of the theory to driven transport and to quantum dynamics based either on the use of density matrices or Gamma-space densities as suggested by Wigner. Remaining limitations of the theory are pointed out.
in Journal of statistical physics
Journal of statistical physics, Vol.13 No.4. A systematic derivation of exact generalized Brownian motion theory [articles et extraits] / S. Nordholm, Auteur ; R. Zwanzig, Auteur . - 1975 . - p.347-371.
ISSN : 0022-4715
Langues : Français (fre)
Mots-clés : Generalized Brownian motion - projection operator - Langevin equation - Fokker-Planck equation - nonlinear transport equations - time-dependent external field - Wigner phase space density Résumé : We present here a simple unified derivation of the exact Fokker-Planck equation obtained earlier by Zwanzig and the exact Langevin and transport equations derived by Mori. The derivation, based on the use of a Hilbert space formulation of the dynamics, leads to substantial generalizations of these results in a straightforward manner. We obtain nonlinear Langevin equations for classical systems and discuss the extension of the theory to driven transport and to quantum dynamics based either on the use of density matrices or Gamma-space densities as suggested by Wigner. Remaining limitations of the theory are pointed out.
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