Document Detail

Hopping models of charge transfer in a complex environment: coupled memory continuous-time random walk approach.
MedLine Citation:
PMID:  16485925     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Charge transport processes in disordered complex media are accompanied by anomalously slow relaxation for which usually a broad distribution of relaxation times is adopted. To account for those properties of the environment, a standard kinetic approach in description of the system is addressed either in the framework of continuous-time random walks (CTRWs) or fractional diffusion. In this paper the power of the CTRW approach is illustrated by use of the probabilistic formalism and limit theorems that allow one to rigorously predict the limiting distributions of the paths traversed by charges and to derive effective relaxation properties of the entire system of interest. In particular, the standard CTRW scenario is generalized to a new class of coupled memory CTRWs that effectively can lead to the well known Havriliak-Negami response. Application of the method is discussed for nonexponential electron-transfer processes controlled by dynamics of the surrounding medium.
Ewa Gudowska-Nowak; Kinga Bochenek; Agnieszka Jurlewicz; Karina Weron
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Publication Detail:
Type:  Journal Article     Date:  2005-12-08
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  72     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2005 Dec 
Date Detail:
Created Date:  2006-02-20     Completed Date:  2006-04-27     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  061101     Citation Subset:  -    
Marian Smoluchowski Institute of Physics Jagellonian University, ul. Reymonta 4, 30-059 Kraków, Poland.
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