Academic Journal

Random walks in disordered lattice, CTRW, memory and dipole transport.

Title: Random walks in disordered lattice, CTRW, memory and dipole transport.
Authors: Dzheparov, F. S.1
Source: Magnetic Resonance in Solids. 2017, Vol. 19 Issue 2, p1-11. 11p.
Subject Terms: *DIPOLE moments, *RANDOM walks (Mathematics), *COMPUTER storage devices, *LATTICE theory, *COMPUTER simulation
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. [ABSTRACT FROM AUTHOR]
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