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Thermostating by deterministic scattering: heat and shear flow.

C Wagner1, R Klages, G Nicolis

  • 1Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Campus Plaine Code Postal 231, Boulevard du Triomphe, B-1050 Brussels, Belgium.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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A new thermostating mechanism was applied to particle systems, showing it creates stable states for thermal conduction and shear flow simulations. This method, using deterministic scattering at boundaries, helps study nonequilibrium physics.

Area of Science:

  • Statistical Mechanics
  • Computational Physics
  • Non-equilibrium Systems

Background:

  • Hamiltonian dynamics govern bulk particle motion.
  • Deterministic, time-reversible scattering thermalizes system boundaries.
  • Relating deterministic scattering to stochastic boundary conditions is explored.

Purpose of the Study:

  • To apply and evaluate a novel thermostating mechanism for interacting many-particle systems.
  • To investigate thermal conduction and shear flow in a hard disk fluid under this mechanism.
  • To examine the relationship between entropy production and phase-space contraction rates.

Main Methods:

  • Application of a recently proposed thermostating mechanism.
  • Simulation of thermal conduction and shear flow using a hard disk fluid model.

Related Experiment Videos

  • Comparison of simulation results with theoretical predictions.

    • Main Results:

    • The thermostating mechanism successfully generates well-defined nonequilibrium steady states within linear response.
    • Transport coefficients for thermal conduction and shear flow were computed and validated against theory.
    • A general disagreement was found between thermodynamic entropy production and phase-space contraction rates.

    Conclusions:

    • The studied thermostating mechanism is effective for simulating nonequilibrium phenomena.
    • The conjectured identity between entropy production and phase-space contraction rates does not hold universally.
    • This work provides insights into the behavior of driven dissipative systems.