117 citations · 338 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
Analytical study of an exclusive genetic switch
J. Venegas-Ortiz, M. R. Evans
The nonequilibrium stationary state of an exclusive genetic switch is considered. The model comprises two competing species and a single binding site which, when bound to by a prot…
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…
The Lee-Yang theory of equilibrium and nonequilibrium phase transitions
R. A. Blythe, M. R. Evans
We present a pedagogical account of the Lee-Yang theory of equilibrium phase transitions and review recent advances in applying this theory to nonequilibrium systems. Through both…
Lee-Yang zeros and phase transitions in nonequilibrium steady states
R. A. Blythe, M. R. Evans
We consider how the Lee-Yang description of phase transitions in terms of partition function zeros applies to nonequilibrium systems. Here one does not have a partition function, i…