title: Scaling of chaos in strongly nonlinear lattices.
abstract: Although it is now understood that chaos in complex classical systems is the foundation of thermodynamic behavior, the detailed relations between the microscopic properties of the chaotic dynamics and the macroscopic thermodynamic observations still remain mostly in the dark. In this work, we numerically analyze the probability of chaos in strongly nonlinear Hamiltonian systems and find different scaling properties depending on the nonlinear structure of the model. We argue that these different scaling laws of chaos have definite consequences for the macroscopic diffusive behavior, as chaos is the microscopic mechanism of diffusion. This is compared with previous results on chaotic diffusion [M. Mulansky and A. Pikovsky, New J. Phys. 15, 053015 (2013)], and a relation between microscopic chaos and macroscopic diffusion is established.
authors.affiliation: Department of Physics and Astronomy, Potsdam University, Karl-Liebknecht-Str. 24, D-14476 Potsdam-Golm, Germany; Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, D-01187 Dresden, Germany; and Institut für Theoretische Physik, TU Dresden, Zellescher Weg 17, D-01069 Dresden, Germany.
authors.forename: Mario
authors.initials: M
authors.lastname: Mulansky