Synchronization induced by Langevin dynamics

M. Cies̀la; S. P. Dias; L. Longa; F. A. Oliveira

doi:10.1103/PhysRevE.63.065202

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Synchronization induced by Langevin dynamics

M. Cies̀la, S. P. Dias, L. Longa, and F. A. Oliveira

Phys. Rev. E 63, 065202(R) – Published 29 May 2001

Abstract

Equilibrium Langevin dynamics of one-dimensional Lennard-Jones chains is studied. It is shown that depending on the noise strength, the friction constant and the number of particles, chains can synchronize, break, or remain desynchronized. Generally the synchronization time and the maximal Lyapunov exponent are found to depend on the number of particles and the ratio of noise strength to friction constant.

Received 11 December 2000

DOI:https://doi.org/10.1103/PhysRevE.63.065202

Authors & Affiliations

M. Cies̀la¹, S. P. Dias^2,3, L. Longa^1,2,3, and F. A. Oliveira^2,3

¹Department of Statistical Physics, Jagellonian University, Reymonta 4, Kraków, Poland
²Instituto de Física, Universidade de Brasília, Campus Universitário Darcy Ribeiro, CP 04513, CEP 70919-970 Brasília, DF, Brazil
³Centro Internacional de Fisíca da Matéria Condensada, Universidade de Brasilia, Campus Universitário Darcy Ribeiro, CP 04513, CEP 70919-970 Brasília, DF, Brazil

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Vol. 63, Iss. 6 — June 2001

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics