55 citations · 346 across the 27 of their papers we have counts for
11 papers · 1 filter
Flooding dynamics of diffusive dispersion in a random potential
Michael Wilkinson, Marc Pradas, Gerhard Kling
We discuss the combined effects of overdamped motion in a quenched random potential and diffusion, in one dimension, in the limit where the diffusion coefficient is small. Our anal…
Aggregation-fragmentation-diffusion model for trail dynamics
Kyle Kawagoe, Greg Huber, Marc Pradas +3
We investigate statistical properties of trails formed by a random process incorporating aggregation, fragmentation, and diffusion. In this stochastic process, which takes place in…
Noise-induced transitions in rugged energy landscapes
A. B. Duncan, S. Kalliadasis, G. A. Pavliotis +1
We consider the problem of an overdamped Brownian particle moving in multiscale potential with N + 1 characteristic length scales: the macroscale and N separated microscales. We sh…
Controlling roughening processes in the stochastic Kuramoto-Sivashinsky equation
Susana N. Gomes, Serafim Kalliadasis, Demetrios T. Papageorgiou +2
We present a novel control methodology to control the roughening processes of semilinear parabolic stochastic partial differential equations in one dimension, which we exemplify wi…
Nonlinear forecasting of the generalised Kuramoto-Sivashinsky equation
H. Gotoda, M. Pradas, S. Kalliadasis
We study the emergence of pattern formation and chaotic dynamics in the one-dimensional (1D) generalized Kuramoto-Sivashinsky (gKS) equation by means of a time-series analysis, in…
Additive noise effects in active nonlinear spatially extended systems
M. Pradas, G. A. Pavliotis, S. Kalliadasis +2
We examine the effects of pure additive noise on spatially extended systems with quadratic nonlinearities. We develop a general multiscale theory for such systems and apply it to t…