Universität zu Köln

Sato, Yuzuru and Klages, Rainer ORCID: 0000-0003-3811-3070 (2019). Anomalous Diffusion in Random Dynamical Systems. Phys. Rev. Lett., 122 (17). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1079-7114

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Abstract

Consider a chaotic dynamical system generating diffusionlike Brownian motion. Consider a second, nonchaotic system in which all particles localize. Let a particle experience a random combination of both systems by sampling between them in time. What type of diffusion is exhibited by this random dynamical system? We show that the resulting dynamics can generate anomalous diffusion, where in contrast to Brownian normal diffusion the mean square displacement of an ensemble of particles increases nonlinearly in time. Randomly mixing simple deterministic walks on the line, we find anomalous dynamics characterized by aging, weak ergodicity breaking, breaking of self-averaging, and infinite invariant densities. This result holds for general types of noise and for perturbing nonlinear dynamics in bifurcation scenarios.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Sato, Yuzuru UNSPECIFIED UNSPECIFIED UNSPECIFIED Klages, Rainer UNSPECIFIED orcid.org/0000-0003-3811-3070 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-150320
DOI:	10.1103/PhysRevLett.122.174101
Journal or Publication Title:	Phys. Rev. Lett.
Volume:	122
Number:	17
Date:	2019
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1079-7114
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CHAOS; MAPS; MODELS; SYNCHRONIZATION; INTERMITTENCY; TRANSITION; MECHANISMS; SYMMETRY; BREAKING; MOTION Multiple languages Physics, Multidisciplinary Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/15032