91 citations · 591 across the 30 of their papers we have counts for
4 papers · 1 filter
Perturbation theory for the effective diffusion constant in a medium of random scatterer
D. S. Dean, I. T. Drummond, R. R. Horgan +1
We develop perturbation theory and physically motivated resummations of the perturbation theory for the problem of a tracer particle diffusing in a random media. The random media c…
Effective diffusion constant in a two dimensional medium of charged point scatterers
D. S. Dean, I. T. Drummond, R. R. Horgan
We obtain exact results for the effective diffusion constant of a two dimensional Langevin tracer particle in the force field generated by charged point scatterers with quenched po…
The Effect of Helicity on the Effective Diffusivity for Incompressible Random Flows
D. S. Dean, I. T. Drummond, R. R. Horgan
The advection of a passive scalar by a quenched (frozen) incompressible velocity field is studied by extensive high precision numerical simulation and various approximation schemes…
Effective drift and diffusivity in non-Gaussian random gradient flows
I. T. Drummond, R. R. Horgan, C. A. da Silva Santos
We study the long-range effective drift and diffusivity of a particle in a random medium moving subject to a given molecular diffusivity and a local drift. The local drift models t…