Statistical physics of dynamical systems with variable memory
type: Item
instance of: scholarly article
title: Statistical physics of dynamical systems with variable memory
zbMATH Open document ID: 1073.82569
DOI: 10.1134/1.1591315
author: Ya. L. Kobelev
author: L. Ya. Kobelev
author: Yu. L. Klimontovich
published in: Doklady Physics
publication date: 2004-09-08T00:00:00Z
review text: The authors consider the Riemann-Liouville fractional derivative and integrals of variable order of differentiation and integration. Thus the multiparticle distribution functions are derived as well as equations for distribution functions in a space with either constant or variable memory. Some particular cases are studied, namely equations for the determination of the fractal dimension, equations of Vlasov and Klimontovich for systems with variable memory, and an equation for the one-particle distribution function for weak variable memory.
Mathematics Subject Classification ID: 82C05
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 2099604
zbMATH Keywords: statistical physics
zbMATH Keywords: fractal systems
zbMATH Keywords: Riemann-Liouville derivative
zbMATH Keywords: distribution function
zbMATH Keywords: variable memory
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1134/1.1591315
OpenAlex ID: W2074445296
cites work: Q4740120
cites work: Fox function representation of non-Debye relaxation processes
cites work: Q4048661
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cites work: Q4726489
description: scientific article; zbMATH DE number 2099604