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Exactly solvable model for driven dissipative systems.

Yair Srebro1, Dov Levine

  • 1Department of Physics, Technion, Haifa 32000, Israel.

Physical Review Letters
|February 9, 2005
PubMed
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We present a solvable model for driven dissipative systems, revealing non-Boltzmann energy distributions in steady states. Fluctuation-dissipation relations hold but with differing effective temperatures.

Area of Science:

  • Statistical Mechanics
  • Complex Systems

Background:

  • Driven dissipative systems are ubiquitous in nature.
  • Understanding their far-from-equilibrium steady states is a key challenge.
  • Granular gases offer a tractable model system.

Purpose of the Study:

  • To introduce a solvable stochastic model for driven dissipative systems.
  • To characterize non-equilibrium steady states and effective temperatures.
  • To investigate fluctuation-dissipation relations in these systems.

Main Methods:

  • Development of a solvable stochastic model.
  • Analysis of non-Boltzmann energy distributions.
  • Comparison of different effective temperature measures.

Main Results:

Related Experiment Videos

  • The model exhibits far-from-equilibrium steady states.
  • Non-Boltzmann energy distributions are observed.
  • Fluctuation-dissipation relations are verified, with distinct effective temperatures.

Conclusions:

  • The proposed model provides insights into driven dissipative systems.
  • Effective temperature definitions can vary, impacting relation interpretations.
  • The study highlights the complexity of non-equilibrium statistical mechanics.