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Thermodynamics and phase transitions in dissipative and active Morse chains

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  • A. P. Chetverikov
  • W. Ebeling
  • M. G. Velarde

Abstract

We study the evolution of a simple one-dimensional chain of N=4 particles with Morse interactions and periodic boundary conditions which are imbedded into a heat bath creating dissipation and noise. The investigation is concentrated on thermodynamic properties for equilibrium, near-equilibrium and far-equilibrium conditions. For the thermodynamic equilibrium, created by white noise and passive friction obeying Einstein’s fluctuation dissipation relation, we find a standard phase diagram. By applying active friction forces the system is driven to stationary non-equilibrium states, creating conditions where various self-sustained oscillations are excited. Thermodynamic quantities like energy, pressure and entropy are calculated near equilibrium, around a critical distance from equilibrium and far from equilibrium. We observe maximal order (minimum entropy) in certain region of the noise temperature, a phenomenon which is reminiscent of stochastic resonance. With increasing distance from equilibrium new “phases” corresponding to the existence of several attractors of the dynamical stem appear. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • A. P. Chetverikov & W. Ebeling & M. G. Velarde, 2005. "Thermodynamics and phase transitions in dissipative and active Morse chains," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 44(4), pages 509-519, April.
    • Handle: RePEc:spr:eurphb:v:44:y:2005:i:4:p:509-519
    DOI: 10.1140/epjb/e2005-00151-2
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