Rajaram Nityananda

Power-law forces between particles in a nematic

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...

Scaling properties of non-linear gravitational clustering

The growth of density perturbations in an expanding universe in the non-linear regime is investigated. The underlying equations of motion are cast in a suggestive form, and motivate a conjecture that the scaled pair velocity,

Maximum Entropy Image Reconstruction-A Practical Non- Information-Theoretic Approach

h(a,x)\equiv -[v/(\dot{a}x)]

On the Theory of Light Propagation in Cholesteric Liquid Crystals

depends on the expansion factor

Translational diffusion of fluorescent probes on a sphere: Monte Carlo simulations, theory, and fluorescence anisotropy experiment

a

GMRT observations of the group Holmberg 124: Evolution by tidal forces and ram pressure?

and comoving coordinate

A Critique of Recent Semi-Classical Spin-Half Quantum Plasma Theories

x

Transport along null curves

only through the density contrast

Rotation of neutron polarisation in helical magnetic structures

\sigma(a,x)

Gravitational lensing by stars in a galaxy halo: theory of combined weak and strong scattering.

. This leads to the result that the true, non-linear, density contrast