Derivation of Kinetic Equations from the Generalized Langevin Equation
نویسندگان
چکیده
منابع مشابه
Derivation of the generalized Langevin equation in nonstationary environments.
The generalized Langevin equation (GLE) is extended to the case of nonstationary bath. The derivation starts with the Hamiltonian equation of motion of the total system including the bath, without any assumption on the form of Hamiltonian or the distribution of the initial condition. Then the projection operator formulation is utilized to obtain a low-dimensional description of the system dynam...
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The Mori-Zwanzig formalism is an effective tool to derive differential equations describing the evolution of a small number of resolved variables. In this paper we present its application to the derivation of generalized Langevin equations and generalized non-Markovian Fokker-Planck equations. We show how long time scales rates and metastable basins can be extracted from these equations. Numeri...
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ژورنال
عنوان ژورنال: Physical Review
سال: 1969
ISSN: 0031-899X
DOI: 10.1103/physrev.188.479