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- W2149346710 abstract "We present maximum Lyapunov exponents ${ensuremath{lambda}}_{1}$ and related Kolmogorov-Sinai entropies ${mathrm{h}}_{mathrm{KS}}$ for a gas of hard spheres at various densities. The time scales defined by ${ensuremath{lambda}}_{1}$ and ${mathrm{h}}_{mathrm{KS}}$ are compared with the collision time, the decay time of typical autocorrelation functions, and the relaxation time of a one-particle distribution. At low densities the Lyapunov time ${mathrm{ensuremath{tau}}}_{ensuremath{lambda}}$ensuremath{equiv}1/${ensuremath{lambda}}_{1}$ is much smaller than the collision time ${mathrm{ensuremath{tau}}}_{mathrm{c}}$, whereas at high densities we find ${mathrm{ensuremath{tau}}}_{ensuremath{lambda}}$ensuremath{gg}:${mathrm{ensuremath{tau}}}_{mathrm{c}}$. We discuss consequences for kinetic theory and numerical simulations. The mixing properties in phase space are investigated for the two-dimensional Lorentz gas. It is numerically verified that the Kolmogorov-Sinai time ${mathrm{ensuremath{tau}}}_{mathrm{KS}}$ensuremath{equiv}1/${mathrm{h}}_{mathrm{KS}}$ is the characteristic time for this relaxation process." @default.
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- W2149346710 date "1997-01-01" @default.
- W2149346710 modified "2023-10-18" @default.
- W2149346710 title "Mixing, Lyapunov instability, and the approach to equilibrium in a hard-sphere gas" @default.
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- W2149346710 doi "https://doi.org/10.1103/physreve.55.r9" @default.
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