Four approaches for description of stochastic systems with small and finite inertia
Statistical Mechanics
2021-07-23 v1
Abstract
We analyse four approaches to elimination of a fast variable, which are applicable to systems like passive Brownian particles: (i) moment formalism, (ii) corresponding cumulant formalism, (iii) Hermite function basis, (iv) formal `cumulants' for the Hermit function basis. The accuracy and its strong order are assessed. The applicability and performance of two first approaches are also demonstrated for active Brownian particles.
Keywords
Cite
@article{arxiv.2107.10498,
title = {Four approaches for description of stochastic systems with small and finite inertia},
author = {Evelina V. Permyakova and Lyudmila S. Klimenko and Irina V. Tyulkina and Denis S. Goldobin},
journal= {arXiv preprint arXiv:2107.10498},
year = {2021}
}
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9 pages