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Nonlinear transport coefficients from large deviation functions.

Chloe Ya Gao1, David T Limmer1

  • 1Department of Chemistry, University of California, Berkeley, California 94609, USA.

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|July 6, 2019
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Summary
This summary is machine-generated.

We present a new method using large deviation theory to calculate nonlinear response and transport coefficients in stochastic systems. This approach efficiently predicts system behavior far from equilibrium, applicable to nanoscale systems.

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Area of Science:

  • Statistical mechanics
  • Nonlinear dynamics
  • Transport phenomena

Background:

  • Nonlinear response is common in nanoscale systems but difficult to predict.
  • Systems far from equilibrium exhibit complex behaviors.
  • Stochastic systems require efficient prediction methods.

Purpose of the Study:

  • To develop a general and efficient method for computing high-order transport coefficients in stochastic systems.
  • To connect nonlinear response to equilibrium properties using large deviation theory.
  • To provide a practical route for evaluating nonlinear response in systems out of equilibrium.

Main Methods:

  • Utilizing the framework of large deviation theory.
  • Leveraging time reversibility in microscopic dynamics.
  • Relating nonlinear response to equilibrium multitime correlation functions.

Main Results:

  • Developed a method to compute arbitrarily high-order transport coefficients for stochastic systems.
  • Established a thermodynamic-like relation for nonequilibrium response.
  • Demonstrated the method's efficiency in single-particle and interacting systems, including thermal rectification.

Conclusions:

  • The introduced method provides a practical and efficient route for evaluating nonlinear response.
  • The approach is general and applicable to various stochastic systems.
  • This work offers new insights into the thermodynamics of systems far from equilibrium.