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arXiv · 2107.10498

Four approaches for description of stochastic systems with small and finite inertia

Evelina V. Permyakova·Lyudmila S. Klimenko·Irina V. Tyulkina·Denis S. Goldobin
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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.

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Evelina V. Permyakova, Lyudmila S. Klimenko, Irina V. Tyulkina, Denis S. Goldobin. 2021-07-22. Four approaches for description of stochastic systems with small and finite inertia. https://doi.org/10.1088/1742-6596/1945/1/012050

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