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The RARE model a generalized approach to random relaxation processes in disordered systems

  • This paper introduces and analyses a general statistical model, termed the RAndom RElaxations (RARE) model, of random relaxation processes in disordered systems. The model considers excitations that are randomly scattered around a reaction center in a general embedding space. The model's input quantities are the spatial scattering statistics of the excitations around the reaction center, and the chemical reaction rates between the excitations and the reaction center as a function of their mutual distance. The framework of the RARE model is versatile and a detailed stochastic analysis of the random relaxation processes is established. Analytic results regarding the duration and the range of the random relaxation processes, as well as the model's thermodynamic limit, are obtained in closed form. In particular, the case of power-law inputs, which turn out to yield stretched exponential relaxation patterns and asymptotically Paretian relaxation ranges, is addressed in detail.

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Metadaten
Author:Iddo Eliazar, Ralf MetzlerORCiDGND
DOI:https://doi.org/10.1063/1.4770266
ISSN:0021-9606 (print)
ISSN:1089-7690 (online)
Parent Title (English):The journal of chemical physics : bridges a gap between journals of physics and journals of chemistr
Publisher:American Institute of Physics
Place of publication:Melville
Document Type:Article
Language:English
Year of first Publication:2012
Year of Completion:2012
Release Date:2017/03/26
Tag:Pareto analysis; chemical relaxation; reaction kinetics theory; reaction rate constants; stochastic processes
Volume:137
Issue:23
Pagenumber:9
Funder:Academy of Finland (FiDiPro scheme)
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert