42 citations · 98 across the 20 of their papers we have counts for
9 papers · 1 filter
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…
Effective surface energies in nematic liquid crystals as homogenised rugosity effects
Razvan-Dumitru Ceuca, Jamie M. Taylor, Arghir Zarnescu
We study the effect of boundary rugosity in nematic liquid crystalline systems. We consider a highly general formulation of the problem, able to simultaneously deal with several li…
Hölder regularity and convergence for a non-local model of nematic liquid crystals in the large-domain limit
Giacomo Canevari, Jamie M. Taylor
We consider a non-local free energy functional, modelling a competition between entropy and pairwise interactions reminiscent of the second order virial expansion, with application…
On a probabilistic model for martensitic avalanches incorporating mechanical compatibility
Francesco Della Porta, Angkana Rüland, Jamie M Taylor +1
Building on the work in \cite{BCH15,CH18,TIVP17}, in this article we propose and study a simple, geometrically constrained, probabilistic algorithm geared towards capturing some as…
-convergence of a mean-field model of a chiral doped nematic liquid crystal to the Oseen-Frank description of cholesterics
Jamie M. Taylor
Systems of elongated molecules, doped with small amounts of molecules lacking mirror symmetry can form macroscopically twisted cholesteric liquid crystal phases. The aim of this wo…
Convex Integration Arising in the Modelling of Shape-Memory Alloys: Some Remarks on Rigidity, Flexibility and Some Numerical Implementations
Angkana Rüland, Jamie M. Taylor, Christian Zillinger
We study convex integration solutions in the context of the modelling of shape-memory alloys. The purpose of the article is two-fold, treating both rigidity and flexibility propert…
Oseen-Frank-type theories of ordered media as the -limit of a non-local mean-field free energy
Jamie M. Taylor
In this work we recover the Oseen-Frank theory of nematic liquid crystals as a -limit of a particular mean-field free energy as the sample size becomes infinitely large. The Fra…
An analysis of equilibria in dense nematic liquid crystals
Jamie M. Taylor
This paper is concerned with the rigorous analysis of a recently proposed model of Zheng et. al. for describing nematic liquid crystals within the dense regime, with the orientatio…
Maximum entropy methods as the bridge between macroscopic and microscopic theory
Jamie M. Taylor
This paper investigates a function of macroscopic variables known as the singular potential, building on previous work by Ball and Majumdar. The singular potential is a function of…