20 citations · 27 across the 3 of their papers we have counts for
3 papers
Optimal control of multiscale systems using reduced-order models
Wei Zhang, Juan C. Latorre, Grigorios A. Pavliotis +1
We study optimal control of diffusions with slow and fast variables and address a question raised by practitioners: is it possible to first eliminate the fast variables before solv…
Numerical Methods for Computing Effective Transport Properties of Flashing Brownian Motors
Juan C. Latorre, Peter R. Kramer, Grigorios A. Pavliotis
We develop a numerical algorithm for computing the effective drift and diffusivity of the steady-state behavior of an overdamped particle driven by a periodic potential whose ampli…
Corrections to Einstein's relation for Brownian motion in a tilted periodic potential
J. C. Latorre, G. A. Pavliotis, P. R. Kramer
In this paper we revisit the problem of Brownian motion in a tilted periodic potential. We use homogenization theory to derive general formulas for the effective velocity and the e…