161 citations · 2k across the 112 of their papers we have counts for
4 papers · 1 filter
A multiscale analysis of diffusions on rapidly varying surfaces
A. B. Duncan, C. M. Elliott, G. A. Pavliotis +1
Lateral diffusion of molecules on surfaces plays a very important role in various biological processes, including lipid transport across the cell membrane, synaptic transmission an…
Rate of Convergence of Phase Field Equations in Strongly Heterogeneous Media towards their Homogenized Limit
Markus Schmuck, Grigorios A. Pavliotis, Serafim Kalliadasis
We study phase field equations based on the diffuse-interface approximation of general homogeneous free energy densities showing different local minima of possible equilibrium conf…
A new stochastic mode reduction strategy for dissipative systems
M. Schmuck, M. Pradas, S. Kalliadasis +1
We present a new methodology for studying non-Hamiltonian nonlinear systems based on an information theoretic extension of a renormalization group technique using a modified maximu…
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…