214 citations · 838 across the 12 of their papers we have counts for
12 papers
Cross-scale ecological theory sheds light on the maintenance of biodiversity
James P. O'Dwyer, Stephen J. Cornell
One of the first successes of neutral ecology was to predict realistically-broad distributions of rare and abundant species. However, it has remained an outstanding theoretical cha…
Collapse of a randomly forced particle: a comment
Stephen J. Cornell, Michael R. Swift, Alan J. Bray
We refute the arguments by Anton in cond-mat/0004390, which set out to disprove the existence of a collapse transition for a randomly forced inelastic particle.
Inelastic collapse of a randomly forced particle
Stephen J. Cornell, Michael R. Swift, Alan J. Bray
We consider a randomly forced particle moving in a finite region, which rebounds inelastically with coefficient of restitution r on collision with the boundaries. We show that ther…
Corrections to Scaling in Phase-Ordering Kinetics
A. J. Bray, P. N. Rapapa, S. J. Cornell
The leading correction to scaling associated with departures of the initial condition from the scaling morphology is determined for some soluble models of phase-ordering kinetics.…
Survival Probability of a Mobile Particle in a Fluctuating Field
Satya N. Majumdar, Stephen J. Cornell
We study the the survival probability P(t) upto time t, of a test particle moving in a fluctuating external field. The particle moves according to some prescribed deterministic or…
Persistence exponents for fluctuating interfaces
J. Krug, H. Kallabis, S. N. Majumdar +3
Numerical and analytic results for the exponent θdescribing the decay of the first return probability of an interface to its initial height are obtained for a large class of linear…
Non-Markovian Persistence and Nonequilibrium Critical Dynamics
K. Oerding, S. J. Cornell, A. J. Bray
The persistence exponent θfor the global order parameter, M(t), of a system quenched from the disordered phase to its critical point describes the probability, p(t) \sim t^{-θ}, th…
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…