For citation:
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
Solitons and clusters in one-dimensional ensembles of interacting brownian particles
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.
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