Izvestiya of Saratov University.

Physics

ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)

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Chetverikov A. P., Ebeling W., Velarde M. G. Solitons and clusters in one-dimensional ensembles of interacting brownian particles. Izvestiya of Saratov University. Physics , 2006, vol. 6, iss. 1, pp. 28-41. DOI: 10.18500/1817-3020-2006-6-1-2-28-41

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
16.11.2006
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Language: 
Russian
Heading: 
Physics
Article type: 
Article
UDC: 
537.86
DOI: 
10.18500/1817-3020-2006-6-1-2-28-41

Solitons and clusters in one-dimensional ensembles of interacting brownian particles

Autors: 
Chetverikov A. P., Saratov State University
Ebeling Werner, Humboldt University of Berlin
Velarde M. G., Institute of cross-disciplinary researches of the University of Madrid
Abstract: 

The survey of the studies results of 1D ensembles dynamics of interacting Browniam particles is presented. Properties of both particles and the Fermi-Pasta-Ulam, Toda, Lennard-Jones, Morse interaction potentials are described. The Langevin equations are exhibited and structures and thermodynamic characteristics which may be extracted from data of a numerical integration of the equations are described. Excitations of phonons, cnoidal waves and solitons in dense ensembles and clusters in ensembles of low density are considered.

Key words: 
one-dimensional ensembles
Brownian particles
Langevin equations
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Received: 
05.07.2006
Accepted: 
06.10.2006
Published: 
16.11.2006
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