161 citations · 2k across the 112 of their papers we have counts for
Showing 2005Show all
3 papers · 1 filter
cond-mat.stat-mech2005★ 53 cited
Periodic Homogenization for Inertial Particles
G. A. Pavliotis, A. M. Stuart
We study the problem of homogenization for inertial particles moving in a periodic velocity field, and subject to molecular diffusion. We show that, under appropriate assumptions o…
math-ph2005★ 1 cited
Analysis of White Noise Limits for Stochastic Systems with Two Fast Relaxation Times
G. A. Pavliotis, A. M. Stuart
In this paper we present a rigorous asymptotic analysis for stochastic systems with two fast relaxation times. The mathematical model analyzed in this paper consists of a Langevin…
cond-mat.stat-mech2005
A Multiscale Approach to Brownian Motors
G. A. Pavliotis
The problem of Brownian motion in a periodic potential, under the influence of external forcing, which is either random or periodic in time, is studied in this paper. Multiscale te…