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Largest Lyapunov Exponent for Many Particle Systems at Low Densities

Largest Lyapunov Exponent for Many Particle Systems at Low Densities

The largest Lyapunov exponent ${\ensuremath{\lambda}}^{+}$ for a dilute gas with short range interactions in equilibrium is studied by a mapping to a clock model, in which every particle carries a watch, with a discrete time that is advanced at collisions. This model has a propagating front solution with a speed …