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Goldstone modes in Lyapunov spectra of hard sphere systems

Goldstone modes in Lyapunov spectra of hard sphere systems

In the study of chaotic behavior, Lyapunov exponents play an important part. In this paper, we demonstrate how the Lyapunov exponents close to zero of a system of many hard spheres can be described as Goldstone modes, by using a Boltzmann type of approach. At low densities, the correct form …