We present exact results for the fluctuations in the number of particles crossing the origin up
to time t in a collection of noninteracting run and tumble particles in one dimension. In …

We study a generalization of the random walk (RW) based on a deformed translation of the
unitary step, inherited by the q algebra, a mathematical structure underlying nonextensive …

We introduce and study a model of hardcore particles obeying run-and-tumble dynamics on
a one-dimensional lattice, where particles run in either $+ $ ve or $-$ ve $ x $-direction with …

We study the fluctuations of the integrated density current across the origin up to time T in a
lattice model of active particles with hard-core interactions. This model is amenable to an …

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 …

We investigate the effect of initial conditions on the fluctuations of the integrated density
current across the origin (x= 0) up to a given time t in a one-dimensional system of non …

We investigate the problem of effusion of particles initially confined in a finite one-
dimensional box of size $ L $. We study both passive as well active scenarios, involving non …

In this work we study an inhomogeneous Fokker–Planck equation (FPE) emerging in the
framework of Kaniadakis statistics. The resultant FPE presents the features:(a) the solution is …

We study the Mpemba effect on a non-equilibrium Markov chain that mimics the run and
tumble motion of an active particle in a discrete energy landscape. The broken detailed …

We analyze the cluster formation in a nonergodic stochastic system as a result of
counterflow, with the aid of an exactly solvable model. To illustrate the clustering, a two …