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The rate of change of the entropy S and free energy A with respect to time for a nonequilibrium system in a steady state is considered. A modified Liouville equation is derived to account for the phase space Jacobian arising from nontrivial phase space compression. With due allowance for this factor, the relations ̇ \.S0ex0ex=0ex0ex0 and ̇ \.A0ex0ex=0ex0ex0 are obtained, results that are consistent with the assumption of a smooth, differentiable phase space distribution function.
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Tuckerman et al. (1997) studied this question.
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