Accumulation on the boundary for a one-dimensional stochastic particle system

Accumulation on the boundary for a one-dimensional stochastic particle system 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Accumulation on the boundary for a one-dimensional stochastic particle system

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Publisher
Springer Journals
Copyright
Copyright © 2007 by Pleiades Publishing, Inc.
Subject
Engineering; Communications Engineering, Networks; Electronic and Computer Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946007040060
Publisher site
See Article on Publisher Site

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.

Journal

Problems of Information TransmissionSpringer Journals

Published: Feb 1, 2007

References

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