arXiv subjects

A. Baram

Publications and source records attributed to A. Baram.

3 recordsLinked to original sources

arXiv2005

A first-order phase-transition, a super-cooled fluid, and a glass in a two-dimensional lattice gas model

Studying the series expansion of the thermodynamic potential for the hard-core N3 lattice-gas model, we provide evidence for a first-order phase-transition with a finite jump in density and entropy, in agreement with numerical transfer matrix calculations. The solid branch terminates at the transition, while the fluid branch continues beyond the critical activity, describing a meta-stable super-cooled fluid. It terminates with density 0.85 (relative to the closest packing density) and finite entropy per site. This termination density is close to the random-closest-packing density of the glassy state obtained for infinitely-fast cooling. The model thus exhibits a thermodynamic meta-stable glassy phase with finite Edwards' compactivity.

cond-mat.stat-mech↗

arXiv2003

The persistence length of two dimensional self avoiding random walks

The decay of directional correlations in self-avoiding random walks on the square lattice is investigated. Analysis of exact enumerations and Monte Carlo data suggest that the correlation between the directions of the first step and the j-th step of the walk decays faster than 1/j, indicating that the persistence length of the walk is finite.

cond-mat.stat-mech↗

arXiv1999

Glass Transition in a 2D Lattice Model

The dynamics of compaction of hard cross-shaped pentamers on the 2D square lattice is investigated. The addition of new particles is controlled by diffusive relaxation. It is shown that the filling process terminates at a glassy phase with a limiting coverage density ρ_{rcp}=0.171626(3), lower than the density of closest packing ρ_{cp}=0.2, and the long time filling rate vanishes like (ρ_{rcp}-ρ(t))^2. For the entire density regime the particles form an amorphous phase, devoid of any crystalline order. Therefore, the model supports a stable random packing state, as opposed to the hard disks system. Our results may be relevant to recent experiments studying the clustering of proteins on bilayer lipid membranes.

cond-mat.stat-mech↗