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

Source: [Nonlinear Fokker-Planck equation for nonlocal and nonconservative model Hamiltonians: symplectic integration and application to metastable systems](<https://www.sota2.com/research/paper/68fa1e7b7a2b558e29322a0f>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T15:10:39.166Z

Authors: E. Klotins

Published: 2005-08-07T15:27:23.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0508182>)

[PDF](<https://arxiv.org/pdf/cond-mat/0508182.pdf>)