Nontrivial Exponent for Simple Diffusion (2007)
Majumdar, Satya N., Sire, Clement, Bray, Alan J., Cornell, Stephen J.
The diffusion equation \\partial_t\\phi = \\nabla^2\\phi is considered, with initial condition \\phi( _x_ ,0) a gaussian random variable with zero mean. Using a simple approximate theory we show that...
Intracellular Demography and the Dynamics of Salmonella enterica Infections (2006)
Sam P. Brown, Stephen J. Cornell, Mark Sheppard, Andrew J. Grant, Duncan J. Maskell, Bryan T. Grenfell, ...
An understanding of within-host dynamics of pathogen interactions with eukaryotic cells can shape the development of effective preventive measures and drug regimes. Such investigations have been...
Biased movement at a boundary and conditional occupancy times for diffusion processes (2003)
Ovaskainen, Otso, Cornell, Stephen J.
Motivated by edge behaviour reported for biological organisms, we show that random walks with a bias at a boundary lead to a discontinuous probability density across the boundary. We continue by...
Collapse of a randomly forced particle: a comment (2000)
Cornell, Stephen J., Swift, Michael R., Bray, Alan J.
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 (1998)
Cornell, Stephen J., Swift, Michael R., Bray, Alan J.
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 there is a transition...
Survival Probability of a Mobile Particle in a Fluctuating Field (1997)
Majumdar, Satya N., Cornell, Stephen J.
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 stochastic rules...
Nontrivial Exponent for Simple Diffusion (1996)
Majumdar, Satya N., Sire, Clement, Bray, Alan J., Cornell, Stephen J.
The diffusion equation \partial_t\phi = \nabla^2\phi is considered, with initial condition \phi( _x_ ,0) a gaussian random variable with zero mean. Using a simple approximate theory we show that the...
Domain Growth in a 1-D Driven Diffusive System (1996)
Cornell, Stephen J., Bray, Alan J.
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 limit where the...
Nontrivial Exponent for Simple Diffusion (1996)
Majumdar, Satya N., Sire, Clement, Bray, Alan J., Cornell, Stephen J.
The diffusion equation \\partial_t\\phi = \\nabla^2\\phi is considered, with initial condition \\phi( _x_ ,0) a gaussian random variable with zero mean. Using a simple approximate theory we show that...
Nontrivial Exponent for Simple Diffusion (1996)
Majumdar, Satya N., Sire, Clement, Bray, Alan J., Cornell, Stephen J.
The diffusion equation \\partial_t\\phi = \\nabla^2\\phi is considered, with initial condition \\phi( _x_ ,0) a gaussian random variable with zero mean. Using a simple approximate theory we show that...
Intracellular Demography and the Dynamics of Salmonella enterica Infections
Brown, Sam P, Cornell, Stephen J, Sheppard, Mark, Grant, Andrew J, Maskell, Duncan J, Grenfell, Bryan T, ...
An understanding of within-host dynamics of pathogen interactions with eukaryotic cells can shape the development of effective preventive measures and drug regimes. Such investigations have been...
Intracellular Demography and the Dynamics of Salmonella enterica Infections
Brown, Sam P, Cornell, Stephen J, Sheppard, Mark, Grant, Andrew J, Maskell, Duncan J, Grenfell, Bryan T, ...
An understanding of within-host dynamics of pathogen interactions with eukaryotic cells can shape the development of effective preventive measures and drug regimes. Such investigations have been...
Space and stochasticity in population dynamics
Ovaskainen, Otso, Cornell, Stephen J.
Organisms interact with each other mostly over local scales, so the local density experienced by an individual is of greater importance than the mean density in a population. This simple observation...
Stochastic and spatial dynamics of nematode parasites in farmed ruminants.
Cornell, Stephen J., Isham, Valerie S., Grenfell, Bryan T.
Host-parasite systems provide powerful opportunities for the study of spatial and stochastic effects in ecology; this has been particularly so for directly transmitted microparasites. Here, we...
A new theory for the evolution of polyandry as a means of inbreeding avoidance
Cornell, Stephen J, Tregenza, Tom
We propose a novel theory for the evolution of polyandry driven by genetic benefits to females whose offspring interbreed. In species with an ecology characterized by frequent colonization of new...