 98275 David Ruelle
 General linear response formula in statistical mechanics,
and the fluctuationdissipation theorem.
(17K, Plain TeX)
Apr 18, 98

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Abstract. Given a nonequilibrium steady state $\rho$ we derive
formally the linear response formula $\delta_t\rho(\Phi)=\int_{\infty}^t
d\tau\rho(\delta_\tau F\cdot\nabla(\Phi\circ f^{t\tau}))$ for the
variation of the expectation value of $\Phi$ at time $t$ under an
infinitesimal perturbation $\delta_\tau F$ of the acting forces. This leads to
a form of the fluctuationdissipation theorem valid far from equilibrium:
the complex singularities of the susceptibility are in part those of the
spectral density, and in part of a different nature to be discussed.
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