9 citations · 9 across the 4 of their papers we have counts for
5 papers · 1 filter
Anisotropic Surface Tensions for Phase Transitions in Periodic Media
Rustum Choksi, Irene Fonseca, Jessica Lin +1
This paper establishes bounds on the homogenized surface tension for a heterogeneous Allen-Cahn energy functional in a periodic medium. The approach is based on relating the homoge…
On the Strong Attraction Limit for a Class of Nonlocal Interaction Energies
Almut Burchard, Rustum Choksi, Elias Hess-Childs
This note concerns the problem of minimizing a certain family of non-local energy functionals over measures on , subject to a mass constraint, in a strong attraction…
Anisotropic liquid drop models
Rustum Choksi, Robin Neumayer, Ihsan Topaloglu
We introduce and study certain variants of Gamow's liquid drop model in which an anisotropic surface energy replaces the perimeter. After existence and nonexistence results are est…
Ground-states for the liquid drop and TFDW models with long-range attraction
Stan Alama, Lia Bronsard, Rustum Choksi +1
We prove that both the liquid drop model in with an attractive background nucleus and the Thomas-Fermi-Dirac-von Weizsäcker (TFDW) model attain their ground-states \…
Small Volume Fraction Limit of the Diblock Copolymer Problem: I. Sharp Interface Functional
R. Choksi, M. A. Peletier
We present the first of two articles on the small volume fraction limit of a nonlocal Cahn-Hilliard functional introduced to model microphase separation of diblock copolymers. Here…