Time-dependent response theory and nonequilibrium free-energy relations

Stephen R. Williams, Denis J. Evans

    Research output: Contribution to journalArticlepeer-review

    10 Citations (Scopus)

    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.

    Original languageEnglish
    Article number021119
    JournalPhysical Review E
    Volume78
    Issue number2
    DOIs
    Publication statusPublished - 15 Aug 2008

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