533 citations · 2.5k across the 54 of their papers we have counts for
54 papers
Persistence and First-Passage Properties in Non-equilibrium Systems
Alan J. Bray, Satya N. Majumdar, G. Schehr
In this review we discuss the persistence and the related first-passage properties in extended many-body nonequilibrium systems. Starting with simple systems with one or few degree…
Disappearance of the de Almeida-Thouless line in six dimensions
M. A. Moore, A. J. Bray
We show that the Almeida-Thouless line in Ising spin glasses vanishes when their dimension d -> 6 as h_{AT}^2/T_c^2 = C(d-6)^4(1- T/T_c)^{d/2 - 1}, where C is a constant of order u…
Maximum Distance Between the Leader and the Laggard for Three Brownian Walkers
Satya N. Majumdar, Alan J. Bray
We consider three independent Brownian walkers moving on a line. The process terminates when the left-most walker (the `Leader') meets either of the other two walkers. For arbitrar…
Nonequilibrium Stationary States and Phase Transitions in Directed Ising Models
Claude Godreche, Alan J. Bray
We study the nonequilibrium properties of directed Ising models with non conserved dynamics, in which each spin is influenced by only a subset of its nearest neighbours. We treat t…
Geometry of phase separation
Alberto Sicilia, Yoann Sarrazin, Jeferson J. Arenzon +2
We study the domain geometry during spinodal decomposition of a 50:50 binary mixture in two dimensions. Extending arguments developed to treat non-conserved coarsening, we obtain a…
Phase Transition in a Random Minima Model: Mean Field Theory and Exact Solution on the Bethe Lattice
Peter Sollich, Satya N Majumdar, Alan J Bray
We consider the number and distribution of minima in random landscapes defined on non-Euclidean lattices. Using an ensemble where random landscapes are reweighted by a fugacity fac…