J. Shamanna

Surface morphology of a modified ballistic deposition model.

The surface and bulk properties of a modified ballistic deposition model are investigated. The deposition rule interpolates between nearest- and next-nearest-neighbor ballistic deposition and the random deposition models. The stickiness of the depositing particle is controlled by a parameter and the type of interparticle force. Two such forces are considered: Coulomb and van der Waals type. The interface width shows three distinct growth regions before eventual saturation. The rate of growth depends more strongly on the stickiness parameter than on the type of interparticle force. However, the porosity of the deposits is strongly influenced by the interparticle force.

A Bethe Ansatz study of free energy and excitation spectrum for even spin Fateev–Zamolodchikov model

A Bethe–Ansatz study of a self-dual ZN spin model is undertaken for even spin system. One must solve a coupled system of Bethe–Ansatz equations (BAE) involving zeroes of two families of transfer matrices. A numerical study on finite size lattices is done for identification of elementary excitations over the ferromagnetic and antiferromagnetic ground states. The free energies for both ferromagnetic and antiferromagnetic ground states and dispersion relation for elementary excitations are found.

Multistep surface diffusion sensitive to diffusion length

Random deposition model with surface diffusion over several next nearest neighbours is studied. Several extensions of diffusion models to include multistep diffusion gives Family’s surface diffusion model in the nearest neighbour diffusion limit. The results for the various extensions agree with the results obtained by Family for the case of nearest neighbour diffusion. However, for larger allowed diffusion length, the growth exponent and roughness exponent show interesting dependence on diffusion length. The variation of values of exponents are fitted to empirical equations. The probable mechanism for dependence of exponents on the diffusion length is discussed.

Surface properties and scaling behavior of a generalized ballistic deposition model.

The surface exponents, scaling behavior, and bulk porosity of a generalized ballistic deposition (GBD) model are studied. In nature, there exist particles with varying degrees of stickiness ranging from completely nonsticky to fully sticky. Such particles may adhere to any one of the successively encountered surfaces, depending on a sticking probability that is governed by the underlying stochastic mechanism. The microscopic configurations possible in this model are much larger than those allowed in existing models of ballistic deposition and competitive growth models that seek to mix ballistic and random deposition processes. In this article, we find the scaling exponents for surface width and porosity for the proposed GBD model. In terms of scaled width W[over ̃] and scaled time t[over ̃], the numerical data collapse onto a single curve, demonstrating successful scaling with sticking probability p and system size L. Similar scaling behavior is also found for the porosity.