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- W2019966860 abstract "The kinetic theory of gases and liquids is discussed in terms of the phase-space density $f(stackrel{ensuremath{rightarrow}}{mathrm{r}}stackrel{ensuremath{rightarrow}}{mathrm{p}}t)$ and its autocorrelation function. Associated with the latter is the memory function ${ensuremath{Sigma}}^{(c)}(stackrel{ensuremath{rightarrow}}{mathrm{k}}z)$ troduced in an earlier paper. Here, we analyze those properties of ${ensuremath{Sigma}}^{(c)}$, for a classical system of structureless interacting particles, which can be obtained without approximation. Apart from symmetry- and stability-related properties, and those that express the conservation laws, we give microscopic derivations of (i) a new sum rule for ${ensuremath{Sigma}}^{(c)}(stackrel{ensuremath{rightarrow}}{mathrm{k}}z)$ which involves only the static-pair-correlation function and (ii) two new relations between ${ensuremath{Sigma}}^{(c)}$ and thermodynamic derivatives, namely the specific heat ${c}_{v}$ and the pressure derivative ${(frac{ensuremath{partial}p}{ensuremath{partial}T})}_{n}$. These exact relations, if fulfilled by an approximate model for ${ensuremath{Sigma}}^{(c)}$, guarantee that the approach to equilibrium is described in a thermodynamically and dynamically consistent manner. It is also shown how, for such a model, the transport coefficients are obtained." @default.
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- W2019966860 date "1974-02-01" @default.
- W2019966860 modified "2023-10-16" @default.
- W2019966860 title "Properties of the kinetic memory function in classical fluids" @default.
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- W2019966860 doi "https://doi.org/10.1103/physreva.9.943" @default.
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