815 citations · 7.8k across the 81 of their papers we have counts for
80 papers
Current fluctuations in a partially asymmetric simple exclusion process with a defect particle
Ivan Lobaskin, Martin R Evans, Kirone Mallick
We study an exclusion process on a ring comprising a free defect particle in a bath of normal particles. The model is one of the few integrable cases in which the bath particles ar…
The cost of stochastic resetting
John C. Sunil, Richard A. Blythe, Martin R. Evans +1
Resetting a stochastic process has been shown to expedite the completion time of some complex tasks, such as finding a target for the first time. Here we consider the cost of reset…
Integrability of two-species partially asymmetric exclusion processes
Ivan Lobaskin, Martin R Evans, Kirone Mallick
We work towards the classification of all one-dimensional exclusion processes with two species of particles that can be solved by a nested coordinate Bethe Ansatz. Using the Yang-B…
From a microscopic solution to a continuum description of active particles with a recoil interaction in one dimension
Matthew J Metson, Martin R Evans, Richard A Blythe
We consider a model system of persistent random walkers that can jam, pass through each other or jump apart (recoil) on contact. In a continuum limit, where particle motion between…
Tuning attraction and repulsion between active particles through persistence
Matthew J Metson, Martin R Evans, Richard A Blythe
We consider the interplay between persistent motion, which is a generic property of active particles, and a recoil interaction which causes particles to jump apart on contact. The…
An exactly solvable predator prey model with resetting
Martin R. Evans, Satya N. Majumdar, Grégory Schehr
We study a simple model of a diffusing particle (the prey) that on encounter with one of a swarm of diffusing predators can either perish or be reset to its original position at th…