Soluble Model of a Nonequilibrium Steady State: The Van Kampen Objection and Other Lessons
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View abstract on PubMed
Summary
This summary is machine-generated.This study models charge transport using a classical particle in a random potential. We analytically determine the nonequilibrium steady state (NESS) under weak disorder and dissipation, clarifying foundational concepts in statistical mechanics.
Area Of Science
- Statistical Mechanics
- Condensed Matter Physics
- Quantum Transport
Background
- Understanding charge transport in complex systems is crucial for developing new electronic devices.
- Nonequilibrium statistical mechanics deals with systems not in thermal equilibrium, presenting unique theoretical challenges.
- The behavior of classical particles in random potentials with environmental coupling is a fundamental model.
Purpose Of The Study
- To develop and analyze a simple classical model for charge transport.
- To investigate the nonequilibrium steady state (NESS) under weak disorder and dissipation.
- To address foundational issues in nonequilibrium statistical mechanics, including the validity of linear response theory and principles like minimum entropy production.
Main Methods
- Analytical determination of the nonequilibrium steady state (NESS) for a classical particle in a random potential with dissipative coupling.
- Analysis of the system's response at both linear and nonlinear levels.
- Evaluation of the range of validity for linear response theory.
Main Results
- The dissipative response at a nonlinear level is highly sensitive to system-environment coupling.
- The range of validity for linear response theory is determined by the system-environment coupling strength.
- The principle of minimum entropy production fails to predict the NESS beyond linear order.
- Entropy maximization fails to predict the correct NESS even at linear order.
Conclusions
- The study validates the Van Kampen objection regarding the limitations of linear response theory.
- Dissipative coupling plays a critical role in determining the behavior of charge transport systems.
- Established principles like minimum entropy production and entropy maximization have limited applicability in nonlinear nonequilibrium systems.
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