Both repulsive and attractive molecular interactions can be used to explain the onset of nematic order. The object of this paper is to combine these two nematogenic molecular interactions in a unified theory. This attempt is not unprecedented; what is perhaps new is the focus on the understanding of nematics in the high density limit. There, the orientational probability distribution is shown to exhibit a unique feature: it has compact support on configuration space. As attractive interactions are turned on, the behaviour changes, and at a critical attractive interaction strength, thermotropic behaviour of the Maier-Saupe type is attained.

Contributions of repulsive and attractive interactions to nematic order

Virga, Epifanio G.;
2018-01-01

Abstract

Both repulsive and attractive molecular interactions can be used to explain the onset of nematic order. The object of this paper is to combine these two nematogenic molecular interactions in a unified theory. This attempt is not unprecedented; what is perhaps new is the focus on the understanding of nematics in the high density limit. There, the orientational probability distribution is shown to exhibit a unique feature: it has compact support on configuration space. As attractive interactions are turned on, the behaviour changes, and at a critical attractive interaction strength, thermotropic behaviour of the Maier-Saupe type is attained.
2018
Engineering Mathematics covers resources on applied mathematics, mathematical modelling, combinatorics, optimization techniques, numerical methods, and statistical methods that have an emphasis on engineering systems.
The Mathematics category includes resources dealing with mathematics, applied mathematics, statistics and probability.
Esperti anonimi
Inglese
Internazionale
STAMPA
45
13-15
2352
2360
9
4
info:eu-repo/semantics/article
262
Palffy-Muhoray, Peter; Taylor, Jamie M.; Virga, Epifanio G.; Zheng, Xiaoyu
1 Contributo su Rivista::1.1 Articolo in rivista
none
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1232867
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