Scaling of chaos in strongly nonlinear lattices

Journal Article · Sun Jun 15 04:00:00 EDT 2014 · Chaos (Woodbury, N. Y.)

DOI:https://doi.org/10.1063/1.4868259· OSTI ID:22251063

Mulansky, Mario ^[1]

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1. Department of Physics and Astronomy, Potsdam University, Karl-Liebknecht-Str. 24, D-14476 Potsdam-Golm (Germany)

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.

• OSTI ID: 22251063
• Journal Information: Chaos (Woodbury, N. Y.), Journal Name: Chaos (Woodbury, N. Y.) Journal Issue: 2 Vol. 24; ISSN CHAOEH; ISSN 1054-1500
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHAOS THEORY
COMPARATIVE EVALUATIONS
DIFFUSION
HAMILTONIANS
NONLINEAR PROBLEMS
PROBABILITY
SCALING LAWS