We describe the entropy of liquids in the context of kinetic theory of dense gases. In the equilibrium regime the statistical entropy has an explicit dependence of the parir correlation function. In order to test the entropy functiona,we use the Morese potential to reproduce experimentalpair correlation functions ofliquid sodium,using the molecular dynamics technique. With this information,we can compare the theoretical entropy with experimental thermodynamic data.On the other hand,from the nonequilibrium pointof view,we discuss the entropy-increase-law anlayzing the entropy balance equation. The entropy production due to themolecular diffusion processes displays an upper bound which is proportional to the so-called Fisher information. In the regime at which the one-particle distribution function only depends on particles momentum and time,we show that the factor of proportionality which appears in the upper bound is essentially the time integral of the force autocorrelation function between particles. Besides the parameters of the interparticle potential found through molecular dynamics simulations,we find the time scale of particles' thermalization and therefore the approach to equilibrium for the system.
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