Diffusion in regular and disordered lattices

JW Haus, KW Kehr - Physics Reports, 1987 - Elsevier
Classical diffusion of single particles on lattices with frozen-in disorder is surveyed. The
methods of continuous-time random walk theory are pedagogically developed and …

Dichotomous Markov noise: exact results for out-of-equilibrium systems

I Bena - International Journal of Modern Physics B, 2006 - World Scientific
Nonequilibrium systems driven by additive or multiplicative dichotomous Markov noise
appear in a wide variety of physical and mathematical models. We review here some …

Anomalous diffusion in one dimension

V Balakrishnan - Physica A: Statistical Mechanics and its applications, 1985 - Elsevier
In view of the interest in the occurrence of anomalous diffusion (< r 2 (t)>∼ t 2H, 0< H< 1 2)
in several physical circumstances, we study anomalous diffusion per se in terms of exactly …

First passage statistics of active random walks on one and two dimensional lattices

S Jose - Journal of Statistical Mechanics: Theory and …, 2022 - iopscience.iop.org
We investigate the first passage statistics of active continuous time random walks with
Poissonian waiting time distribution on a one dimensional infinite lattice and a two …

The first, the biggest, and other such considerations

K Lindenberg, BJ West - Journal of Statistical Physics, 1986 - Springer
The first, the biggest, and other such considerations Page 1 Journal of Statistical Physics, Vol.
42, Nos. 1/2, 1986 The First, The Biggest, and Other Such Considerations Katja Lindenberg 1 …

First-passage times of non-Markovian processes: The case of a reflecting boundary

V Balakrishnan, C Van den Broeck, P Hänggi - Physical Review A, 1988 - APS
Mean first-passage times (MFPT) of non-Markovian processes driven by Markovian two-
state noise of finite correlation time are considered. Absorbing as well as reflecting boundary …

Current trends in random walks on random lattices

JH Dshalalow, RT White - Mathematics, 2021 - mdpi.com
In a classical random walk model, a walker moves through a deterministic d-dimensional
integer lattice in one step at a time, without drifting in any direction. In a more advanced …

Controls that expedite first-passage times in disordered systems

M Höll, A Nissan, B Berkowitz, E Barkai - Physical Review E, 2023 - APS
First-passage time statistics in disordered systems exhibiting scale invariance are studied
widely. In particular, long trap** times in energy or entropic traps are fat-tailed distributed …

Transport properties on a random comb

V Balakrishnan, C Van den Broeck - Physica A: Statistical Mechanics and …, 1995 - Elsevier
We study the random walk of a particle in a random comb structure, both in the presence of a
biasing field and an the field-free case. We show that the mean-field treatment of the …

Nucleosome sliding can influence the spreading of histone modifications

S Kadam, T Bameta, R Padinhateeri - Physical Review E, 2022 - APS
Nucleosomes are the fundamental building blocks of chromatin that not only help in the
folding of chromatin, but also in carrying epigenetic information. It is known that nucleosome …