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Nonlinear Fokker-Planck equation for nonlocal and nonconservative model Hamiltonians: symplectic integration and application to metastable systems

E. Klotins
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Abstract

Kinetics of metastable systems modeled by Hamiltonians containing nonlocal and nonconservative terms is reproduced by the Fokker-Planck and imaginary time Schrodinger equation scheme with subsequent symplectic integration. Example solutions for ergodicity breaking in ferroelectrics reassure the H-theorem of global stability [M. Shiino, Phys. Rev. A, Vol 36, pp. 2393-2411 (1987)] and reproduce spatially extended polarization response in time-dependent external fields.

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E. Klotins. 2005-08-07. Nonlinear Fokker-Planck equation for nonlocal and nonconservative model Hamiltonians: symplectic integration and application to metastable systems. https://arxiv.org/abs/cond-mat/0508182

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