Dresden 2014 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 27: Nonlinear Dynamics, Synchronization and Chaos - Part II

DY 27.1: Talk

Thursday, April 3, 2014, 09:30–09:45, ZEU 160

Scaling of Chaos in Strongly Nonlinear Lattices — •Mario Mulansky — Max-Planck-Institut für die Physik komplexer Systeme, Dresden

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 [New J. Phys. 15, 053015 (2013)], and a relation between microscopic chaos and macroscopic diffusion is established.