Universität zu Köln

Gil-Gallegos, S., Klages, R., Solanpaa, J. and Rasanen, E. (2019). Energy-dependent diffusion in a soft periodic Lorentz gas. Eur. Phys. J.-Spec. Top., 228 (1). S. 143 - 161. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1951-6401

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Abstract

The periodic Lorentz gas is a paradigmatic model to examine how macroscopic transport emerges from microscopic chaos. It consists of a triangular lattice of circular hard scatterers with a moving point particle. Recently this system became relevant as a model for electronic transport in low-dimensional nanosystems such as molecular graphene. However, to more realistically mimic such dynamics, the hard Lorentz gas scatterers should be replaced by soft potentials. Here we study diffusion in a soft Lorentz gas with Fermi potentials under variation of the total energy of the moving particle. Our goal is to understand the diffusion coefficient as a function of the energy. In our numerical simulations we identify three different dynamical regimes: (i) the onset of diffusion at small energies; (ii) a transition where for the first time a particle reaches the top of the potential, characterized by the diffusion coefficient abruptly dropping to zero; and (iii) diffusion at high energies, where the diffusion coefficient increases according to a power law in the energy. All these different regimes are understood analytically in terms of simple random walk approximations.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Gil-Gallegos, S. UNSPECIFIED UNSPECIFIED UNSPECIFIED Klages, R. UNSPECIFIED UNSPECIFIED UNSPECIFIED Solanpaa, J. UNSPECIFIED UNSPECIFIED UNSPECIFIED Rasanen, E. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-149263
DOI:	10.1140/epjst/e2019-800136-8
Journal or Publication Title:	Eur. Phys. J.-Spec. Top.
Volume:	228
Number:	1
Page Range:	S. 143 - 161
Date:	2019
Publisher:	SPRINGER HEIDELBERG
Place of Publication:	HEIDELBERG
ISSN:	1951-6401
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language DETERMINISTIC DIFFUSION; ANOMALOUS DIFFUSION; ISLANDS; MAGNETOTRANSPORT; CHAOS Multiple languages Physics, Multidisciplinary Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/14926