23 citations · 27 across the 3 of their papers we have counts for
4 papers
Minimizing capture time with many small traps in heterogeneous media
Denis S. Grebenkov, Theodore Kolokolnikov
We study the problem of optimally placing a large number of small absorbing traps to minimize the mean first-passage time (MFPT) of particles diffusing in a heterogeneous medium wi…
The effect of target orientation on the mean first passage time of a Brownian particle to a small elliptical absorber
Sanchita Chakraborty, Theodore Kolokolnikov, Alan E. Lindsay
We develop a high order asymptotic expansion for the mean first passage time (MFPT) of the capture of Brownian particles by a small elliptical trap in a bounded two dimensional reg…
Vortex Nucleation in a Dissipative Variant of the Nonlinear Schrödinger Equation under Rotation
R. Carretero-Gonzalez, P. G. Kevrekidis, T. Kolokolnikov
In the present work, we motivate and explore the dynamics of a dissipative variant of the nonlinear Schr{ö}dinger equation under the impact of external rotation. As in the well est…
A Tale of Two Distributions: From Few To Many Vortices In Quasi-Two-Dimensional Bose-Einstein Condensates
T. Kolokolnikov, P. G. Kevrekidis, R. Carretero-Gonzalez
Motivated by the recent successes of particle models in capturing the precession and interactions of vortex structures in quasi-two-dimensional Bose-Einstein condensates, we revisi…