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 …
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 …
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 …
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 …
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 …
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
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 …
state noise of finite correlation time are considered. Absorbing as well as reflecting boundary …
Current trends in random walks on random lattices
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 …
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
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 …
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 …
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
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 …
folding of chromatin, but also in carrying epigenetic information. It is known that nucleosome …