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Approximate thermodynamic structure for driven lattice gases in contact
Punyabrata Pradhan1, Robert Ramsperger, Udo Seifert
1II. Institut für Theoretische Physik, Universität Stuttgart, Stuttgart D-70550, Germany.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 21, 2011
Summary
Two driven lattice gases in contact tend toward a steady state governed by an intensive variable, like chemical potential. However, contact dynamics introduce deviations, explained by an excess chemical potential.
Area of Science:
- Statistical mechanics
- Non-equilibrium systems
- Complex systems
Background:
- Driven lattice gases are nonequilibrium systems with conserved particle exchange.
- Understanding steady states in such systems is crucial for statistical mechanics.
- Previous studies often assume simplified contact dynamics.
Purpose of the Study:
- To investigate the steady-state behavior of two driven lattice gases in contact.
- To determine if an intensive thermodynamic variable governs the final state.
- To identify and explain deviations from simple thermodynamic laws due to contact dynamics.
Main Methods:
- Studied driven lattice gases with conserved particle exchange.
- Analyzed systems with attractive and repulsive nearest-neighbor interactions.
- Investigated a variant of the zero-range process to model contact dynamics.
- Applied a modified large-deviation principle to explain deviations.
Main Results:
- An intensive variable, akin to chemical potential, approximately determines the steady state.
- Observable deviations from simple thermodynamic laws arise from contact dynamics.
- An 'excess chemical potential' term was identified, dependent on contact specifics.
- The zeroth law of thermodynamics can be violated due to contact dependence.
Conclusions:
- While intensive variables tend to equalize, contact dynamics introduce complexity.
- The excess chemical potential highlights deviations from equilibrium-like behavior.
- These findings offer insights into nonequilibrium statistical mechanics and complex systems.
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