activity
20062023
most citedOn Minimizers of the Landau-de Gennes Energy Functional on Planar Domains

53 citations · 189 across the 31 of their papers we have counts for

collaborators

35 papers

math.AP2023

Interaction energies in paranematic colloids

Dmitry Golovaty, Jamie Taylor, Raghavendra Venkatraman +1

We consider a system of colloidal particles embedded in a paranematic -- an isotropic phase of a nematogenic medium above the temperature of the nematic-to-isotropic transition. In…

cond-mat.soft2023

Topological transformations of a nematic drop

Runa Koizumi, Dmitry Golovaty, Ali Alqarni +3

Morphogenesis of living systems involves topological shape transformations which are highly unusual in the inanimate world. Here we demonstrate that a droplet of a nematic liquid c…

math.AP2022★ 1 cited

Tetrahedral frame fields via constrained third order symmetric tensors

Dmitry Golovaty, Matthias Kurzke, Jose Alberto Montero +1

Tetrahedral frame fields have applications to certain classes of nematic liquid crystals and frustrated media. We consider the problem of constructing a tetrahedral frame field in…

cond-mat.mtrl-sci2022★ 5 cited

A Discrete-to-Continuum Model of Weakly Interacting Incommensurate Two-Dimensional Lattices: The hexagonal case

Malena I. Espanol, Dmitry Golovaty, J. Patrick Wilber

In this paper, we extend the discrete-to-continuum procedure we developed in our previous work to derive a continuum variational model for a hexagonal twisted bilayer material in w…

cond-mat.soft2022

Toroidal nuclei of columnar lyotropic chromonic liquid crystals coexisting with isotropic phase

Runa Koizumi, Dmitry Golovaty, Ali Alqarni +4

Nuclei of ordered materials emerging from the isotropic state usually show a shape topologically equivalent to a sphere; the well-known examples are crystals and nematic liquid cry…

math.AP2021

Refined Asymptotics for Landau-de Gennes Minimizers on Planar Domains

Dmitry Golovaty, Jose Alberto Montero

In our previous work,, we studied asymptotic behavior of minimizers of the Landau-de Gennes energy functional on planar domains as the nematic correlation length converges to zero.…