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Physica D 198 (2004) 120135 Discrete breathers in transient processes and thermal equilibrium

Summary: Physica D 198 (2004) 120­135
Discrete breathers in transient processes and thermal equilibrium
M.V. Ivanchenkoa, O.I. Kanakova, V.D. Shalfeeva, S. Flachb,
a Department of Radiophysics, Nizhny Novgorod University, Gagarin Avenue 23, 603950 Nizhny Novgorod, Russia
b Max-Planck-Institut fšur Physik komplexer Systeme, Nšothnitzer Str. 38, D-01187 Dresden, Germany
Received 3 March 2004; received in revised form 11 July 2004; accepted 19 August 2004
Communicated by C.K.R.T. Jones
We study four different aspects of the generation of discrete breathers in one-(1D) and two-dimensional (2D) lattices with soft
and hard nonlinearity. Breathers can be generated in thermal equilibrium and in various transient and nonequilibrium situations.
We use the numerically obtained information about the spatio-temporal evolution of nonlinear lattices and combine it with
analytical and heuristic results and arguments on breather existence, stability and interaction with plane waves to provide with
a coherent picture of the complex nature of breather excitation in nonlinear lattices.
© 2004 Elsevier B.V. All rights reserved.
Keywords: Discrete breathers; Transient processes; Thermal equilibrium
1. Introduction
localized solutions of equations of motion for classical
degrees of freedom interacting on a lattice. Over the last
decade much progress has been achieved in the under-


Source: Aickelin, Uwe - School of Computer Science, University of Nottingham


Collections: Computer Technologies and Information Sciences