Random walks in disordered lattice, CTRW, memory and dipole transport
Abstract
Application of CTRW (continuous time random walks) to dipole hopping transport is reviewed. Conditions of applicability of basic kinetic equations to spin systems are indicated. Correct versions of derivation of the CTRW-equations are presented. Existence of different forms of memory kernels is demonstrated. Correction of Scher-Lax memory kernel within geometrical memory approach is fulfilled in accordance with leading terms of concentration expansion. Approximate solution for autocorrelation function is considered. Modern state of numerical simulation and experimental measurements of autocorrelation function in nuclear polarization delocalization are described. It is shown, that application of the CTRW was more successful in description of dipole transport than for hopping conductivity.
About the Author
F. S. Dzheparov
National Research Center "Kurchatov Institute", ITEP; National Research Nuclear University "MEPhI"
Russian Federation
Russian Federation
ITEP, Moscow 117258; Moscow 115409
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Review
For citations:
Dzheparov F.S. Random walks in disordered lattice, CTRW, memory and dipole transport. Magnetic Resonance in Solids. 2017;19(2):17201 (11 pp.).
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