As a key molecule of life, Deoxyribo-Nucleic Acid (DNA) is the focus of numbers of
investigations with the help of biological, chemical and physical techniques. From a physical …

We study the effect of resetting on diffusion in a logarithmic potential. In this model, a particle
diffusing in a potential U (x)= U 0 log| x| is reset, ie, taken back to its initial position, with a …

Diffusion occurs in numerous physical systems throughout nature, drawing its generality
from the universality of the central limit theorem. Approximately a century ago it was realized …

The late-time distribution function P (x, t) of a particle diffusing in a one-dimensional
logarithmic potential is calculated for arbitrary initial conditions. We find a scaling solution …

We study the decay rate θ (a) that characterizes the late time exponential decay of the first-
passage probability density F a (t| 0)∼ e-θ (a) t of a diffusing particle in a one dimensional …

We consider a Markovian model for the kinetics of RNA Polymerase (RNAP) which provides
a physical explanation for the phenomenon of cooperative pushing during transcription …

We consider asymmetric simple exclusion processes with $ N $ particles on the one-
dimensional discrete torus with $ L $ sites with following properties:(i) nearest-neighbor …

Asymmetric behaviour has been documented in unemployment rates which increase quickly
in recessions but decline relatively slowly during expansions. To model such asymmetric …

The Gillis model, introduced more than 60 years ago, is a non-homogeneous random walk
with a position-dependent drift. Though parsimoniously cited both in physical and …

Collective migration is commonly observed in groups of migrating cells, in the form of
swarms or aggregates. Mechanistic models have proven very useful in understanding …