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System of interacting particles with Markovian switching

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Relation http://eprints.zu.edu.ua/13316/
 
Title System of interacting particles with Markovian switching
 
Creator Pogoruі, А. А.
 
Subject Mathematical Analysis
 
Description Most of the published articles on random motions have been devoted to the study
of the telegraph process or its generalizations that describe the random motion of a
single particle in Rn in a Markov or semi-Markov medium. However, up to our best
knowledge, there are no published papers dealing with the interaction of two or more
particles which move according to the telegraph processes. In this paper, we construct
the system of telegraph processes with interactions, which can be interpreted as a
model of ideal gas. In this model, we investigate the free path times of a family
of particles, before they are collided with any other particle. We also study the
distribution of particles, which is described by telegraph processes with hard collisions
and re
ecting boundaries, and investigate its limiting properties.
 
Date 2012
 
Type Article
PeerReviewed
 
Format text
 
Language uk
english
 
Identifier http://eprints.zu.edu.ua/13316/1/art1820_09.pdf
Pogoruі, А. А. (2012) System of interacting particles with Markovian switching. Theory of Stochastic Processes, 18 (34). pp. 83-95.