Cells are the elementary units of living organisms, which are able to carry out many vital
functions. These functions rely on active processes on a microscopic scale. Therefore, they …

Unlike equilibrium statistical mechanics, with its well-established foundations, a similar
widely accepted framework for non-equilibrium statistical mechanics (NESM) remains …

We propose an extension of the totally asymmetric simple exclusion process (TASEP) in
which particles hopping along a lattice can be blocked by obstacles that dynamically …

We develop the hydrodynamic theory for number conserving asymmetric exclusion
processes with short-range random quenched disordered hopping rates, which is a one …

We reconsider the long-standing question of the critical defect hopping rate rc in the one-
dimensional totally asymmetric exclusion process (TASEP) with a slow bond (defect). For r< …

We introduce a class of distance-dependent interactions in an accelerated exclusion
process inspired by the observation of transcribing RNA polymerase speeding up when …

In a previous study we developed a mean-field theory of dynamical transitions for the totally-
asymmetric simple-exclusion process with open boundaries and Langmuir kinetics, in the so …

In this manuscript, we introduce a totally asymmetric simple exclusion process on a dynamic
lattice with inhomogeneity to model motor-based long-range transport along microtubules …

We present exact stationary distribution of the asymmetric simple exclusion process with
Langmuir kinetics and its related model on a ring. The distribution is expressed in simple …

We generalize the totally asymmetric simple exclusion process with Langmuir kinetics
(TASEP-LK). In the original TASEP-LK, when a site on the lattice is empty, a particle is …