Thermodynamic versus Topological Phase Transitions: Cusp in the Kertész Line

Details Thermodynamic versus Topological Phase Transitions: Cusp in the Kertész Line Thermodynamic versus Topological Phase Transitions: Cusp in the Kertész Line

2008-03-13

arxiv.org/abs/0803.1921v2

J Math Phys 82 (2008) 50003

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1209/0295-5075/82/50003

We present a study of phase transitions of the Curie--Weiss Potts model at (inverse) temperature $\beta$, in presence of an external field $h$. Both thermodynamic and topological aspects of these transitions are considered. For the first aspect we complement previous results and give an explicit equation of the thermodynamic transition line in the $\beta$--$h$ plane as well as the magnitude of the jump of the magnetization (for $q \geqslant 3)$. The signature of the latter aspect is characterized here by the presence or not of a giant component in the clusters of a Fortuin--Kasteleyn type representation of the model. We give the equation of the Kert\'esz line separating (in the $\beta$--$h$ plane) the two behaviours. As a result, we get that this line exhibits, as soon as $q \geqslant 3$, a very interesting cusp where it separates from the thermodynamic transition line.

Affiliated with

Also associated with

No associations

Rating

Thermodynamic versus Topological Phase Transitions: Cusp in the Kertész Line does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Thermodynamic versus Topological Phase Transitions: Cusp in the Kertész Line, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermodynamic versus Topological Phase Transitions: Cusp in the Kertész Line will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-69755