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The quasi-equilibrium phase in nonlinear 1D systems

Author

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

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.

Suggested Citation

  • Sen, Surajit & Krishna Mohan, T.R. & M.M. Pfannes, Jan, 2004. "The quasi-equilibrium phase in nonlinear 1D systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 342(1), pages 336-343.
    • Handle: RePEc:eee:phsmap:v:342:y:2004:i:1:p:336-343
    DOI: 10.1016/j.physa.2004.04.092
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    Cited by:

    1. Avalos, Edgar & Datta, Amitava & Rosato, Anthony D. & Blackmore, Denis & Sen, Surajit, 2020. "Dynamics in a confined mass–spring chain with 1∕r repulsive potential: Strongly nonlinear regime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    2. Fuller, Nathaniel J. & Sen, Surajit, 2020. "Nonlinear normal modes in the β-Fermi-Pasta–Ulam-Tsingou chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).

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