Nonequilibrium Response from the dissipative Liouville Equation
Matteo Colangeli
TL;DR
This paper introduces a general method to analyze the response of nonequilibrium systems by simplifying the Liouville Equation, extending Green-Kubo relations to dissipative dynamics, and validating with numerical data.
Contribution
It presents a novel approach to solve the Liouville Equation for thermostatted systems under external forces, focusing on slow degrees of freedom and extending response formulas.
Findings
Response formulas extend Green-Kubo relations to dissipative systems
Method effectively projects out fast variables
Numerical comparisons validate the theoretical approach
Abstract
The problem of response of nonequilibrium systems is currently under intense investigation. We propose a general method of solution of the Liouville Equation for thermostatted particle systems subjected to external forces which retains only the slow degrees of freedom, by projecting out the majority of fast variables. Response formulae, extending the Green-Kubo relations to dissipative dynamics are provided, and comparison with numerical data is presented.
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