Exclusion statistics and thermodynamics of a straight k-mers lattice-gas: Analytical approximation and Monte Carlo simulations

Article Physics, Fluids & Plasmas

Phase transition from nematic to high-density disordered phase in a system of hard rods on a lattice

Aagam Shah et al.

Summary: This paper investigates the phase transitions of a system of hard rigid rods on hypercubic lattices under different chemical potentials. The study suggests that the second phase transition is a first-order transition for large rod lengths, exhibiting a discontinuity in density in all dimensions greater than 1. Evidence of coexistence between the nematic phase and disordered phase is presented through Monte Carlo simulations.

PHYSICAL REVIEW E (2022)

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Article Physics, Fluids & Plasmas

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

P. M. Pasinetti et al.

Summary: This paper investigates the deposition of polymers on various surfaces, analyzing the phase transitions and structural characteristics through simulations. By exploring the transitions between different phases and the importance of entropy in high-coverage phases, the study contributes to understanding the behavior of polymer adsorption on surfaces.

PHYSICAL REVIEW E (2021)

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Article Physics, Fluids & Plasmas

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

Deepak Dhar et al.

Summary: The study investigates the asymptotic behavior of entropy when fully covering a square lattice with rods of specific sizes in the limit of large k. The research reveals the conditions under which full coverage is possible and the basic flip moves between configurations. In the large k limit, per-site entropy tends towards a specific mathematical function.

PHYSICAL REVIEW E (2021)

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Article Physics, Fluids & Plasmas