Non existence of a phase transition for the Penetrable Square Wells in one dimension
Statistical Mechanics
2010-09-02 v1 Mathematical Physics
math.MP
Abstract
Penetrable Square Wells in one dimension were introduced for the first time in [A. Santos et. al., Phys. Rev. E, 77, 051206 (2008)] as a paradigm for ultra-soft colloids. Using the Kastner, Schreiber, and Schnetz theorem [M. Kastner, Rev. Mod. Phys., 80, 167 (2008)] we give strong evidence for the absence of any phase transition for this model. The argument can be generalized to a large class of model fluids and complements the van Hove's theorem.
Keywords
Cite
@article{arxiv.1007.1513,
title = {Non existence of a phase transition for the Penetrable Square Wells in one dimension},
author = {Riccardo Fantoni},
journal= {arXiv preprint arXiv:1007.1513},
year = {2010}
}
Comments
14 pages, 7 figures, 1 table