The quasi-equilibrium phase in nonlinear 1D systems

Surajit Sen, T.R. Krishna Mohan and Jan M.M. Pfannes

Physica A: Statistical Mechanics and its Applications, 2004, vol. 342, issue 1, 336-343

Abstract: We consider 1D systems of masses, which can transfer energy via harmonic and/or anharmonic interactions of the form V(xi,i+1)∼xi,i+1β, where β>2, and where the potential energy is physically meaningful. The systems are placed within boundaries or satisfy periodic boundary conditions. Any velocity perturbation in these (non-integrable) systems is found to travel as discrete solitary waves. These solitary waves very nearly preserve themselves and make tiny secondary solitary waves when they collide or reach a boundary. As time t→∞, these systems cascade to an equilibrium-like state, with Boltzmann-like velocity distributions, yet with no equipartitioning of energy, which we refer to and briefly describe as the “quasi-equilibrium” state.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:342:y:2004:i:1:p:336-343

DOI: 10.1016/j.physa.2004.04.092

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