Time-dependent response theory and nonequilibrium free-energy relations
Date
2008-08-15
Authors
Williams, Stephen
Evans, Denis
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American Physical Society
Abstract
The mathematics of time-dependent nonlinear response theory frequently leads to results which although formally exact, are not amenable to experimental application or even to use in computer simulations. Here we give a rigorous derivation of a tractable expression for the thermostatted nonlinear response of classical many body systems to time-dependent dissipative fields. The theory also allows for the concurrent parametric transformation of the system Hamiltonian. Our analysis shows once again the intimate relationship between nonequilibrium free-energy relations such as the Jarzynski equality and nonlinear response theory. We make a few remarks concerning the maximum entropy production approximation.
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Keywords: Computational methods; Computer simulation; Free energy; Sedimentation; Computer simulations; Experimental application; Hamiltonian; Jarzynski equality; Many-body systems; Maximum entropy production; Non-linear responses; Nonequilibrium free-energy; Nonli
Citation
Physical Review, E, Statistical, Nonlinear and Soft Matter Physics 78.2 (2008): 021119/1-7
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Physical Review E-Statistical, Nonlinear and Soft Matter Physics
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Journal article
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