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 …

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 …

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 …

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 …

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 …

Phase diagram of a system of hard cubes on the cubic lattice

N Vigneshwar, D Mandal, K Damle, D Dhar, R Rajesh - Physical Review E, 2019 - APS
We study the phase diagram of a system of 2× 2× 2 hard cubes on a three-dimensional
cubic lattice. Using Monte Carlo simulations, we show that the system exhibits four different …

Phase transitions in hard-core lattice gases on the honeycomb lattice

FC Thewes, HCM Fernandes - Physical Review E, 2020 - APS
We study lattice gas systems on the honeycomb lattice where particles exclude neighboring
sites up to order k (k= 1,..., 5) from being occupied by another particle. Monte Carlo …

Rejection-free cluster Wang-Landau algorithm for hard-core lattice gases

AAA Jaleel, JE Thomas, D Mandal, Sumedha… - Physical Review E, 2021 - APS
We introduce a rejection-free, flat histogram, cluster algorithm to determine the density of
states of hard-core lattice gases. We show that the algorithm is able to efficiently sample low …

Asymptotic behavior of the isotropic-nematic and nematic-columnar phase boundaries for the system of hard rectangles on a square lattice

J Kundu, R Rajesh - Physical Review E, 2015 - APS
A system of hard rectangles of size m× mk on a square lattice undergoes three entropy-
driven phase transitions with increasing density for large-enough aspect ratio k: first from a …