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JOURNALS // Izvestiya of Saratov University. Physics // Archive

Izv. Sarat. Univ. Physics, 2006 Volume 6, Issue 1, Pages 28–41 (Mi isuph448)

Physics

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

A. P. Chetverikova, W. Ebelingb, M. G. Velardec

a Saratov State University
b Humboldt University of Berlin
c 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.

Keywords: one-dimensional ensembles, brownian particles, Langevin equations.

UDC: 537.86

Received: 05.07.2006

DOI: 10.18500/1817-3020-2006-6-1-2-28-41



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