Derivation Of The Langevin Equation From The Principle Of Detailed Balance
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT(2010)
摘要
For a system at a given temperature, with the energy known as a function of a set of variables, we obtain the thermal fluctuation of the evolution of the variables by replacing the phase space with a lattice and invoking the principle of detailed balance. The asset of this method, besides its simplicity, is that it enables us to obtain the Langevin equation when the phase space is anisotropic and when the system is described by means of curvilinear coordinates. As an illustration, we apply our results to the Kramer-Watts-Tobin equation in superconductivity. The choice between the Ito and the Stratonovich procedures is discussed.
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关键词
molecular dynamics
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