# Combination of random-barrier and random-trap models

Source: [Combination of random-barrier and random-trap models](<https://www.sota2.com/research/paper/68fa244b2c2a3760193a226b>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:02:31.487Z

Authors: K. Mussawisade, T. Wichmann, K. W. Kehr

Published: 1996-10-27T16:57:01.000Z

## Abstract

The temperature dependence of the diffusion coefficient of particles is studied on lattices with disorder. A model is investigated with both trap and barrier disorder that was introduced before by Limoge and Bocquet (1990 Phys. Rev. Lett. (65) 60) to explain an Arrhenian temperature-dependence of the diffusion coefficient in amorphous substances. We have used a generalized effective-medium approximation (EMA) by introducing weighted transition rates as inferred from an exact expression for the diffusion coefficient in one-dimensional disordered chains. Monte Carlo simulations were made to check the validity of the approximations. Approximate Arrhenian behavior can be achieved in finite temperature intervals in three- and higher-dimensional lattices by adjusting the relative strengths of the barrier and trap disorder. Exact Arrhenian behavior of the diffusion coefficient can only be obtained in infinite dimensions.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9610191>)

[PDF](<https://arxiv.org/pdf/cond-mat/9610191.pdf>)