Power-law forces between particles in a nematic

Ramaswamy, Sriram; Nityananda, R.; Raghunathan, V.A.; Prost, Jacques

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/2301

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DC Field	Value	Language
dc.contributor.author	Ramaswamy, Sriram	-
dc.contributor.author	Nityananda, R.	-
dc.contributor.author	Raghunathan, V.A.	-
dc.contributor.author	Prost, Jacques	-
dc.date.accessioned	2007-04-26T10:15:37Z	-
dc.date.available	2007-04-26T10:15:37Z	-
dc.date.issued	1996-09	-
dc.identifier.citation	Molecular Crystals and Liquid Crystals, 1996, Vol.288 ,p175-180	en
dc.identifier.issn	1058-725X	-
dc.identifier.uri	http://hdl.handle.net/2289/2301	-
dc.description	Restricted Access.	en
dc.description.abstract	Macroscopic particles of size a immersed in liquid crystalline solvents (e.g. polystyrene spheres in a lyotropic nematic) will exert long-range forces on each other by distorting the order-parameter field around them. As a first step towards a full theory of this novel class of suspensions, we show how to calculate the energy of interaction as a function of the separation r for r >> a between particles of various shapes and orientations in a nematic liquid crystal. Our approach can be understood (i) as a continuum description of the concentration field of the particles, with symmetry-allowed couplings between concentration gradients and director fields or (ii) in terms of an electrostatic analogy due to Brochard and de Gennes, in which the far-field transverse components of the director distortion are treated as a two-component Coulomb field of which particles of various shapes and orientations are elementary multipolar sources. The results with the greatest potential relevance to the experiments of Raghunathan et al. are for spheres: these act like quadrupoles, and the interaction is prop Ka6/r5 and attractive for r oriented in a range around 50° to the nematic axis (n)circ, although it is repulsive for r normal or parallel to (n)circ. The error in a recent calculation in the literature, claiming an always repulsive, r-3 interaction, is pointed out.	en
dc.format.extent	253644 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	en
dc.publisher	Gordon and Breach Science Publishers.	en
dc.relation.uri	http://dx.doi.org/10.1080/10587259608034594	en
dc.rights	1996 OPA (Overseas Publishers Association) N.V.	en
dc.title	Power-law forces between particles in a nematic	en
dc.type	Article	en
Appears in Collections:	Research Papers (SCM)

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