715 citations · 1.4k across the 17 of their papers we have counts for
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Kinetic roughening in active interfaces
Francesco Cagnetta, Martin R. Evans, Davide Marenduzzo
The essential features of many interfaces driven out of equilibrium are described by the same equation---the Kardar-Parisi-Zhang (KPZ) equation. How do living interfaces, such as t…
Stochastic Resetting and Applications
Martin R. Evans, Satya N. Majumdar, Gregory Schehr
In this Topical Review we consider stochastic processes under resetting, which have attracted a lot of attention in recent years. We begin with the simple example of a diffusive pa…
Combinatorial mappings of exclusion processes
Anthony J. Wood, Richard A. Blythe, Martin R. Evans
We review various combinatorial interpretations and mappings of stationary-state probabilities of the totally asymmetric, partially asymmetric and symmetric simple exclusion proces…
Solvable model of a many-filament Brownian ratchet
Anthony J. Wood, Richard A. Blythe, Martin R. Evans
We construct and exactly solve a model of an extended Brownian ratchet. The model comprises an arbitrary number of heterogeneous, growing and shrinking filaments which together mov…
A comparison of dynamical fluctuations of biased diffusion and run-and-tumble dynamics in one dimension
Emil Mallmin, Richard A Blythe, Martin R Evans
We compare the fluctuations in the velocity and in the fraction of time spent at a given position for minimal models of a passive and an active particle: an asymmetric random walke…
Inviscid limit of the active interface equations
Francesco Cagnetta, Martin R. Evans
We present a detailed solution of the active interface equations in the inviscid limit. The active interface equations were previously introduced as a toy model of membrane-protein…