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Kinetic equality for susceptibility and dynamical activity
1Seikei University, Department of Science and Technology, Tokyo 180-8633, Japan.
Physical Review. E
|February 7, 2025
Summary
This study introduces the kinetic equality for susceptibility (KSE), a universal relation for nonequilibrium systems. KSE connects system response, precision, and Fisher information, offering a master relation for diverse physical phenomena.
Area of Science:
- Statistical Mechanics
- Non-equilibrium Thermodynamics
- Information Theory
Background:
- System response to perturbations is key to understanding equilibrium and non-equilibrium systems.
- Response properties are quantified by susceptibility and signal-to-noise ratio (precision).
Purpose of the Study:
- To derive a general response equality for precision in non-equilibrium systems.
- To establish a model-independent equality connecting susceptibilities and Fisher information.
Main Methods:
- Derivation of a general response equality for precision.
- Connecting susceptibilities out of equilibrium to Fisher information.
- Analysis of special limiting cases and observable-action covariance.
Main Results:
- Introduction of the kinetic equality for susceptibility (KSE) for general observables.
- KSE provides a model-independent relation among experimentally accessible quantities.
- KSE reproduces and extends existing kinetic uncertainty relations.
Conclusions:
- KSE serves as a master relation unifying various non-equilibrium equalities.
- The derived equality links system sensitivity (Fisher information) to response properties.
- This framework offers new insights into the dynamics of non-equilibrium systems.
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