214 citations · 838 across the 12 of their papers we have counts for
5 papers · 1 filter
Global Persistence Exponent for Critical Dynamics
S. N. Majumdar, A. J. Bray, S. J. Cornell +1
A `persistence exponent' is defined for nonequilibrium critical phenomena. It describes the probability, , that the global order parameter has not changed sig…
Nontrivial Exponent for Simple Diffusion
Satya N. Majumdar, Clement Sire, Alan J. Bray +1
The diffusion equation \partial_tϕ= \nabla^2ϕis considered, with initial condition ϕ( _x_ ,0) a gaussian random variable with zero mean. Using a simple approximate theory we show t…
Domain Growth in a 1-D Driven Diffusive System
Stephen J. Cornell, Alan J. Bray
The low-temperature coarsening dynamics of a one-dimensional Ising model, with conserved magnetisation and subject to a small external driving force, is studied analytically in the…
Dynamic Multiscaling of the Reaction-Diffusion Front for mA+nB ->0
Stephen Cornell, Zbigniew Koza, Michel Droz
We consider the reaction zone that grows between separated regions of diffusing species and that react according to , within the framework of the mean-fieldlike…
Refined Simulations of the Reaction Front for Diffusion-Limited Two-Species Annihilation in One Dimension
Stephen Cornell
Extensive simulations are performed of the diffusion-limited reaction AB in one dimension, with initially separated reagents. The reaction rate profile, and the probabili…