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Dynamic phase transitions in simple driven kinetic networks.

Suriyanarayanan Vaikuntanathan1, Todd R Gingrich2, Phillip L Geissler3

  • 1Material Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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This study examines entropy production in out-of-equilibrium systems. We found a dynamic phase transition emerges in large systems, revealing distinct dynamical regimes.

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Area of Science:

  • Statistical mechanics
  • Non-equilibrium thermodynamics
  • Dynamical systems theory

Background:

  • Out-of-equilibrium systems are crucial for understanding energy fluxes and nonequilibrium dynamics.
  • Kinetic networks provide simplified models for complex driven systems.
  • Entropy production is a key metric for quantifying irreversibility in thermodynamic processes.

Purpose of the Study:

  • To analyze the probability distribution of entropy production rates in kinetic networks.
  • To investigate the emergence of dynamic phase transitions in these systems.
  • To identify distinct dynamical regimes based on entropy production fluctuations.

Main Methods:

  • Analysis of probability distributions for entropy production rates.
  • Modeling of out-of-equilibrium kinetic networks.
  • Investigation of system behavior in the large system size limit.

Main Results:

  • Demonstrated the emergence of a dynamic phase transition.
  • Identified two distinct dynamical regimes.
  • Characterized the fluctuations in entropy production rates.

Conclusions:

  • Entropy production analysis reveals emergent dynamic phase transitions in driven systems.
  • Large system sizes lead to distinct dynamical behaviors.
  • Kinetic network models are valuable for studying nonequilibrium phenomena.