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Problemy Peredachi Informatsii, 2007, Volume 43, Issue 4, Pages 68–82 (Mi ppi28)  
This article is cited in 1 scientific paper (total in 1 paper)

Large Systems

Accumulation at the Boundary for a One-Dimensional Stochastic Particle System

A. A. Zamyatin, V. A. Malyshev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: We consider an infinite particle system on the positive half-line, with particles moving independently of each other. When a particle hits the boundary, it immediately disappears and the boundary moves to the right by some fixed quantity (the particle size). We study the speed of the boundary movement (growth). Possible applications are dynamics of traffic jam growth, growth of a thrombus in a vessel, and epitaxy. Nontrivial mathematics concerns the correlation between particle dynamics and boundary growth.
Received: 21.06.2007
Revised: 29.08.2007
English version:
Problems of Information Transmission, 2007, Volume 43, Issue 4, Pages 331–343
DOI: https://doi.org/10.1134/S0032946007040060
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519.2
Language: Russian
Citation: A. A. Zamyatin, V. A. Malyshev, “Accumulation at the Boundary for a One-Dimensional Stochastic Particle System”, Probl. Peredachi Inf., 43:4 (2007), 68–82; Problems Inform. Transmission, 43:4 (2007), 331–343
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    Full-text PDF :108
    References:68
    First page:10
     
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