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

We analyse for approaches to elimination of a fast variable, which are applicable for 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...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-06, Vol.1945 (1), p.12050
Main Authors: Permyakova, E V, Klimenko, L S, Tyulkina, I V, Goldobin, D S
Format: Article
Language:English
Subjects:
Brownian motion
Formalism
Physics
Stochastic systems
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Summary:We analyse for approaches to elimination of a fast variable, which are applicable for 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.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1945/1/012050