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SUMMARY:Hard core effects in mean field theories - Sonnet\, A-M (Universit
 y of Strathclyde)
DTSTART:20130108T173000Z
DTEND:20130108T183000Z
UID:TALK42320@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Classically\, there have been two different ways to obtain mea
 n field theories for liquid crystals. One is based on short range repulsiv
 e forces and the other on long range electrostatic forces. In the former a
 pproach\, it is the anisotropic shape of the molecules that leads to the a
 nisotropic interaction\, and in the latter it is the anisotropy of the mol
 ecular charge distribution. In real molecules\, both causes of anisotropy 
 will be present and can be expected to contribute to the effective interac
 tion. It is thus desirable to assess the combined effect of anisotropic lo
 ng range attraction and short range repulsion.\n\nStarting from a long ran
 ge intermolecular interaction energy\, a mean field pair potential can be 
 obtained by averaging over all possible relative positions of two molecule
 s in a fixed relative orientation. The effects of hard core repulsion can 
 be taken into account by an appropriate choice of the domain of integratio
 n for the averaging. This involves determining an excluded region\, the re
 gion that one molecule cannot penetrate due to the hard core repulsion exe
 rted by the other. \n
LOCATION:Seminar Room 1\, Newton Institute
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