Nematic-disordered phase transition in systems of long rigid rods on two-dimensional lattices

J Kundu, R Rajesh, D Dhar, JF Stilck - … E—Statistical, Nonlinear, and Soft Matter …, 2013 - APS
We study the phase transition from a nematic phase to a high-density disordered phase in
systems of long rigid rods of length k on the square and triangular lattices. We use an …

Percolation of linear -mers on a square lattice: From isotropic through partially ordered to completely aligned states

YY Tarasevich, NI Lebovka, VV Laptev - Physical Review E—Statistical …, 2012 - APS
Numerical simulations by means of Monte Carlo method and finite-size scaling analysis
have been performed to study the percolation behavior of linear k-mers (also denoted in …

Exclusion statistics for structured particles on topologically correlated states. II. Multicomponent lattice gases

JJ Riccardo, PM Pasinetti, AJ Ramirez-Pastor… - Physical Review E, 2025 - APS
Statistical thermodynamics of particles having a spectrum of topological correlated states
and observing statistical exclusion is developed to describe mixtures of species of arbitrary …

Entropy-driven phases at high coverage adsorption of straight rigid rods on two-dimensional square lattices

PM Pasinetti, AJ Ramirez-Pastor, EE Vogel, G Saravia - Physical Review E, 2021 - APS
Polymers are frequently deposited on different surfaces, which has attracted the attention of
scientists from different viewpoints. In the present approach polymers are represented by …

Exclusion statistics for structured particles on topologically correlated states. I. Single species lattice gases

JJ Riccardo, PM Pasinetti, AJ Ramirez-Pastor… - Physical Review E, 2025 - APS
A statistical thermodynamics description of particles having a set of spatially correlated
states with statistical exclusion is developed. A general approximation for the density of …

Phase transitions in a system of hard rectangles on the square lattice

J Kundu, R Rajesh - Physical Review E, 2014 - APS
The phase diagram of a system of monodispersed hard rectangles of size m× mk on a
square lattice is numerically determined for m= 2, 3 and aspect ratio k= 1, 2,..., 7. We show …

Multiple phase transitions in extended hard-core lattice gas models in two dimensions

T Nath, R Rajesh - Physical Review E, 2014 - APS
We study the k-NN hard-core lattice gas model in which the first k next-nearest-neighbor
sites of a particle are excluded from occupation by other particles on a two-dimensional …

Freezing phase transition in hard-core lattice gases on the triangular lattice with exclusion up to seventh next-nearest neighbor

AAA Jaleel, D Mandal, JE Thomas, R Rajesh - Physical Review E, 2022 - APS
Hard-core lattice-gas models are minimal models to study entropy-driven phase transitions.
In the k-nearest-neighbor lattice gas, a particle excludes all sites up to the k th next-nearest …

Entropy of fully packed hard rigid rods on -dimensional hypercubic lattices

D Dhar, R Rajesh - Physical Review E, 2021 - APS
We determine the asymptotic behavior of the entropy of full coverings of a L× M square
lattice by rods of size k× 1 and 1× k, in the limit of large k. We show that full coverage is …

Columnar order and Ashkin-Teller criticality in mixtures of hard squares and dimers

K Ramola, K Damle, D Dhar - Physical review letters, 2015 - APS
We show that critical exponents of the transition to columnar order in a mixture of 2× 1
dimers and 2× 2 hard squares on the square lattice depends on the composition of the …