Singularities in Free Energy: Lee-Yang Theory
Statistical Mechanics
2022-05-10 v3
Abstract
Phase Transition is associated with a drastic change in some observable (ordered parameter) of the system when the controlled parameter is tuned smoothly. Lee-Yang theory of phase transition is discussed which is related to the accumulation of singularities of free energy, equivalently complex roots of Grand Partition function (Partition function) at points on positive real axis in complex fugacity plane; and more general (p+1) phase system is discussed, and also the case when (w+2) phases coexist together. Comparison to Mayer's theory is also presented.
Cite
@article{arxiv.2012.04029,
title = {Singularities in Free Energy: Lee-Yang Theory},
author = {Shoaib Akhtar},
journal= {arXiv preprint arXiv:2012.04029},
year = {2022}
}
Comments
This work was meant to be a pedagogical review and is not an original work. An updated version will be reposted later