35441
2012
2012
eng
9
23
137
article
American Institute of Physics
Melville
1
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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.
The journal of chemical physics : bridges a gap between journals of physics and journals of chemistr
10.1063/1.4770266
0021-9606 (print)
1089-7690 (online)
wos:2011-2013
234106
WOS:000312780300008
Eliazar, I (reprint author), Holon Inst Technol, POB 305, IL-58102 Holon, Israel., eliazar@post.tau.ac.il; rmetzler@uni-potsdam.de
Academy of Finland (FiDiPro scheme)
Iddo Eliazar
Ralf Metzler
eng
uncontrolled
chemical relaxation
eng
uncontrolled
Pareto analysis
eng
uncontrolled
reaction kinetics theory
eng
uncontrolled
reaction rate constants
eng
uncontrolled
stochastic processes
Institut für Physik und Astronomie
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