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Frequency analysis of diffusion in 1D systems with energy and spatial disorder
Author(s) -
Pitarch Angeles,
GarciaBelmonte Germà,
Bisquert Juan
Publication year - 2004
Publication title -
macromolecular symposia
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.257
H-Index - 76
eISSN - 1521-3900
pISSN - 1022-1360
DOI - 10.1002/masy.200450874
Subject(s) - thermal diffusivity , formalism (music) , frequency domain , statistical physics , energy transport , frequency dependence , perturbation (astronomy) , low frequency , physics , thermodynamics , materials science , chemistry , mathematical analysis , mathematics , quantum mechanics , nuclear magnetic resonance , art , musical , engineering physics , astronomy , visual arts
We have analyzed the frequency‐dependent features of diffusive transport of mobile carriers by hopping in a disordered environment composed of varying energy barriers. We developed a simple approach based on the solution of the master equation for a gradient of concentration (chemical potential) under a sinusoidal perturbation. This method extends the well‐known result of the steady state case, D = {1 / Γ } −1 , to the frequency domain. The results of our calculations are in agreement with the approximate analytical solution of the CTRW formalism. We are able to determine the onset of frequency‐dependent diffusivity in terms of probabilities of highest energy barriers.