Universität zu Köln

Wolff, Andrea, Lohmar, Ingo, Krug, Joachim ORCID: 0000-0002-2143-6490 and Biham, Ofer (2011). Diffusion-limited reactions on disordered surfaces with continuous distributions of binding energies. J. Stat. Mech.-Theory Exp.. BRISTOL: IOP PUBLISHING LTD. ISSN 1742-5468

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Abstract

We study the steady state of a stochastic particle system on a two-dimensional lattice, with particle influx, diffusion and desorption, and the formation of a dimer when particles meet. Surface processes are thermally activated, with (quenched) binding energies drawn from a continuous distribution. We show that sites in this model provide either coverage or mobility, depending on their energy. We use this to analytically map the system to an effective binary model in a temperature-dependent way. The behavior of the effective model is well understood and accurately describes key quantities of the system: compared with the case for discrete distributions, the temperature window of efficient reaction is broadened, and the efficiency decays more slowly at its ends. The mapping also explains in what parameter regimes the system exhibits realization dependence.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Wolff, Andrea UNSPECIFIED UNSPECIFIED UNSPECIFIED Lohmar, Ingo UNSPECIFIED UNSPECIFIED UNSPECIFIED Krug, Joachim UNSPECIFIED orcid.org/0000-0002-2143-6490 UNSPECIFIED Biham, Ofer UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-487684
DOI:	10.1088/1742-5468/2011/10/P10029
Journal or Publication Title:	J. Stat. Mech.-Theory Exp.
Date:	2011
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1742-5468
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language RANDOM-WALKS; RECOMBINATION; CATALYSIS; LATTICES; KINETICS; MODELS Multiple languages Mechanics; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/48768