Non-Markovian stochastic Liouville equation

A.I. Shushin and V.P. Sakun

Physica A: Statistical Mechanics and its Applications, 2004, vol. 340, issue 1, 283-291

Abstract: The non-Markovian variant of the stochastic Liouville equation (SLE) based and the continuous time random walk approach (CTRWA) is proposed. This SLE turns out be represented by the conventional Markovian SLE. The non-Markovian SLE is applied to the analysis of anomalous long-tailed CTRW processes and, in particular, anomalous rate fluctuations in some chemical reactions. These fluctuations are shown to strongly manifest themselves in the reaction kinetics.

Keywords: Anomalous diffusion; Stochastic Lioville equation (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:340:y:2004:i:1:p:283-291

DOI: 10.1016/j.physa.2004.04.018

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