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On the fluctuation theorem for the dissipation function and its connection with response theory.
Denis J Evans1, Debra J Searles, Stephen R Williams
1Research School of Chemistry, Australian National University, Canberra, Australian Capital Territory 0200, Australia.
The Journal of Chemical Physics
|January 15, 2008
Summary
The fluctuation theorem (FT) reveals how microscopic reversibility leads to macroscopic irreversibility. This study introduces the dissipation theorem, offering exact nonlinear response relations for classical systems, extending the FT
Area of Science:
- Statistical Mechanics
- Nonlinear Dynamics
- Thermodynamics
Background:
- The fluctuation theorem (FT) connects microscopic dynamics to macroscopic irreversibility.
- The Evans-Searles FT demonstrates this link with increasing system size or observation time.
Purpose of the Study:
- To explore the role of the dissipation function in nonlinear response theory.
- To derive a generalized dissipation theorem for classical N-body systems.
Main Methods:
- Analysis of the dissipation function within the framework of the fluctuation theorem.
- Derivation of exact nonlinear response relations for classical N-body systems.
Main Results:
- The dissipation function is central to nonlinear response theory.
- A new dissipation theorem provides exact, widely applicable nonlinear response relations.
- Linearization of these relations recovers the Green-Kubo expressions for linear response.
Conclusions:
- The derived dissipation theorem offers a powerful tool for studying nonlinear phenomena in classical systems.
- These new relations are experimentally verifiable.
- The work bridges fluctuation theorems and nonlinear response theory.
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