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Frenetic aspects of second order response
Urna Basu1, Matthias Krüger, Alexandre Lazarescu
1Instituut voor Theoretische Fysica, KU Leuven, Belgium. urna.basu@fys.kuleuven.be alexandre.lazarescu@fys.kuleuven.be christian.maes@fys.kuleuven.be.
Physical Chemistry Chemical Physics : PCCP
|February 11, 2015
Summary
The frenetic contribution, beyond simple dissipation, governs a system's response to external stimuli at the second order around equilibrium. This nonlinear response reveals changes in dynamical activity, offering new insights into physical systems.
Area of Science:
- Statistical mechanics
- Nonlinear dynamics
- Physical systems
Background:
- System response to external stimuli is typically described by dissipation near thermal equilibrium.
- Higher-order responses, beyond linear, often depend on detailed dynamical properties.
Purpose of the Study:
- To explore the 'frenetic contribution' in the second-order response of statistical mechanical systems around thermal equilibrium.
- To illustrate how nonlinear responses reveal dynamical activity changes due to perturbations.
Main Methods:
- Analysis of statistical mechanical systems at the second order around thermal equilibrium.
- Examination of physical examples including system-reservoir coupling, dielectric response with disorder, and the Sutherland-Einstein relation.
Main Results:
- The second-order response is not solely governed by dissipation but explicitly depends on dynamical details.
- The frenetic contribution quantifies changes in a system's dynamical activity under perturbation.
- Nonlinear response is crucial for observing these dynamical changes.
Conclusions:
- Nonlinear response theory provides a more complete understanding of system behavior beyond equilibrium.
- The frenetic contribution offers a new perspective on system dynamics and their response to external influences.
- This framework is applicable to diverse physical phenomena, including dielectric properties and transport relations.
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