715 citations · 2.3k across the 43 of their papers we have counts for
37 papers · 1 filter
The cost of resetting discrete-time random walks
John C. Sunil, Richard A. Blythe, Martin R. Evans +1
We consider a discrete-time continuous-space random walk, with a symmetric jump distribution, under stochastic resetting. Associated with the random walker are cost functions for j…
Minimizing the Profligacy of Searches with Reset
John C. Sunil, Richard A. Blythe, Martin R. Evans +1
We introduce the profligacy of a search process as a competition between its expected cost and the probability of finding the target. The arbiter of the competition is a parameter…
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…
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…
Inter-particle ratchet effect determines global current of heterogeneous particles diffusing in confinement
Emil Mallmin, Richard A. Blythe, Martin Evans
In a model of volume-excluding spheres in a -dimensional tube, we consider how differences between particles in their drift velocities, diffusivities, and sizes influence th…
Jamming of multiple persistent random walkers in arbitrary spatial dimension
Matthew J. Metson, Martin R. Evans, Richard A. Blythe
We consider the persistent exclusion process in which a set of persistent random walkers interact via hard-core exclusion on a hypercubic lattice in dimensions. We work within…
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…
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…
Width scaling of an interface constrained by a membrane
J. Whitehouse, R. A. Blythe, M. R. Evans +1
We investigate the shape of a growing interface in the presence of an impenetrable moving membrane. The two distinct geometrical arrangements of the interface and membrane, obtaine…
Renyi entropy of the totally asymmetric exclusion process
Anthony J. Wood, Richard A. Blythe, Martin R. Evans
The Renyi entropy is a generalisation of the Shannon entropy that is sensitive to the fine details of a probability distribution. We present results for the Renyi entropy of the to…
Exact Solution of Two Interacting Run-and-Tumble Random Walkers with Finite Tumble Duration
A. B. Slowman, M. R. Evans, R. A. Blythe
We study a model of interacting run-and-tumble random walkers operating under mutual hardcore exclusion on a one-dimensional lattice with periodic boundary conditions. We incorpora…
Jamming and Attraction of Interacting Run-and-Tumble Random Walkers
A. B. Slowman, M. R. Evans, R. A. Blythe
We study a model of bacterial dynamics where two interacting random walkers perform run-and-tumble motion on a one-dimensional lattice under mutual exclusion and find an exact expr…
Maintenance of order in a moving strong condensate
Justin Whitehouse, André Costa, Richard A Blythe +1
We investigate the conditions under which a moving condensate may exist in a driven mass transport system. Our paradigm is a minimal mass transport model in which particles m…
Spatiotemporally complete condensation in a non-Poissonian exclusion process
R. J. Concannon, R. A. Blythe
We investigate a non-Poissonian version of the asymmetric simple exclusion process, motivated by the observation that coarse-graining the interactions between particles in complex…
Lattice Models of Nonequilibrium Bacterial Dynamics
A. G. Thompson, J. Tailleur, M. E. Cates +1
We study a model of self propelled particles exhibiting run and tumble dynamics on lattice. This non-Brownian diffusion is characterised by a random walk with a finite persistence…
Dynamical Transition in the Open-boundary Totally Asymmetric Exclusion Process
A. Proeme, R. A. Blythe, M. R. Evans
We revisit the totally asymmetric simple exclusion process with open boundaries (TASEP), focussing on the recent discovery by de Gier and Essler that the model has a dynamical tran…
Discontinuous Transition in a Boundary Driven Contact Process
A. Costa, R. A. Blythe, M. R. Evans
The contact process is a stochastic process which exhibits a continuous, absorbing-state phase transition in the Directed Percolation (DP) universality class. In this work, we cons…
Zero-range processes with saturated condensation: the steady state and dynamics
A. G. Thompson, J. Tailleur, M. E. Cates +1
We study a class of zero-range processes in which the real-space condensation phenomenon does not occur and is replaced by a saturated condensation: that is, an extensive number of…
Reversibility, heat dissipation and the importance of the thermal environment in stochastic models of nonequilibrium steady states
R. A. Blythe
We examine stochastic processes that are used to model nonequilibrium processes (e.g, pulling RNA or dragging colloids) and so deliberately violate detailed balance. We argue that…
Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
R. A. Blythe, M. R. Evans
We consider the general problem of determining the steady state of stochastic nonequilibrium systems such as those that have been used to model (among other things) biological tran…
Stochastic Models of Evolution in Genetics, Ecology and Linguistics
R. A. Blythe, A. J. McKane
We give a overview of stochastic models of evolution that have found applications in genetics, ecology and linguistics for an audience of nonspecialists, especially statistical phy…