715 citations · 1.5k across the 27 of their papers we have counts for
4 papers · 2 filters
Exact spectral solution of two interacting run-and-tumble particles on a ring lattice
Emil Mallmin, Richard A Blythe, Martin R Evans
Exact solutions of interacting random walk models, such as 1D lattice gases, offer precise insight into the origin of nonequilibrium phenomena. Here, we study a model of run-and-tu…
Effects of refractory period on stochastic resetting
Martin R. Evans, Satya N. Majumdar
We consider a stochastic process undergoing resetting after which a random refractory period is imposed. In this period the process is quiescent and remains at the resetting positi…
Minimal stochastic field equations for one-dimensional flocking
Eoin Ó Laighléis, Martin R. Evans, Richard A. Blythe
We consider the collective behaviour of active particles that locally align with their neighbours. Agent-based simulation models have previously shown that in one dimension, these…
Run and tumble particle under resetting: a renewal approach
Martin R. Evans, Satya N. Majumdar
We consider a particle undergoing run and tumble dynamics, in which its velocity stochastically reverses, in one dimension. We study the addition of a Poissonian resetting process…