The Phase Transitions in the Hard core lattice gas
APA
(2025). The Phase Transitions in the Hard core lattice gas. SciVideos. https://youtu.be/2p5ox7l8ucs
MLA
The Phase Transitions in the Hard core lattice gas. SciVideos, Apr. 22, 2025, https://youtu.be/2p5ox7l8ucs
BibTex
@misc{ scivideos_ICTS:31610,
doi = {},
url = {https://youtu.be/2p5ox7l8ucs},
author = {},
keywords = {},
language = {en},
title = {The Phase Transitions in the Hard core lattice gas},
publisher = {},
year = {2025},
month = {apr},
note = {ICTS:31610 see, \url{https://scivideos.org/icts-tifr/31610}}
}
Abstract
Hard-core lattice-gas models serve as minimal yet powerful models to explore entropy-driven phase transitions. In these models, particles are restricted from occupying neighboring sites up to a specified kth next-nearest neighbor, effectively bridging the behavior from simple nearest-neighbor exclusion to the continuum hard-sphere gas. While most prior studies have examined cases up to k = 3, this talk presents a detailed investigation of the lattice-gas model on a triangular lattice up to k = 7, using a rejection free flat histogram algorithm enhanced with cluster moves. Our findings reveal that for k = 3 to k = 7, the system exhibits a single, discontinuous phase transition from a low-density disordered fluid to a high-density sublattice-ordered phase. This conclusion is supported by the analysis of partition function zeros and the nonconvexity of entropy.