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Transformation properties of entropy production
1Interdisciplinary Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Brussels, Belgium.
Summary
This study investigates entropy production transformations during phase-space partitioning and variable elimination. Dissipation invariance conditions were derived, and non-negativity of entropy production was assessed in periodically driven systems.
Area of Science:
- Thermodynamics
- Statistical Mechanics
- Non-equilibrium Systems
Background:
- Understanding entropy production is crucial for non-equilibrium thermodynamics.
- Phase-space partitioning and variable elimination can alter system dynamics.
- Widely separated time scales introduce complexities in analyzing dissipative processes.
Purpose of the Study:
- To investigate how entropy production transforms under phase-space partitioning, lumping, or variable elimination.
- To derive conditions for invariant dissipation in such transformations.
- To evaluate adiabatic, asymptotic, and transient entropy productions in periodically driven systems.
Main Methods:
- Analysis of entropy production properties under phase-space transformations.
- Derivation of mathematical conditions for dissipation invariance.
- Evaluation of different entropy production components (adiabatic, asymptotic, transient) using theoretical methods.
Main Results:
- Conditions were established for the invariance of dissipation during phase-space transformations.
- The study determined the extent to which adiabatic, asymptotic, and transient entropy productions remain non-negative.
- Transformation properties of entropy production were elucidated under specific system manipulations.
Conclusions:
- Entropy production exhibits specific transformation properties under phase-space manipulations.
- Dissipation can remain invariant under certain conditions, offering insights into system stability.
- The non-negativity of different entropy production components is crucial for understanding system behavior in periodically driven scenarios.
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