Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-06-18
Journal of Statistical Mechanics: Theory and Experiment (2010) P08004
Physics
Condensed Matter
Statistical Mechanics
11 pages
Scientific paper
10.1088/1742-5468/2010/08/P08004
We have numerically studied the properties of the interface induced in the ferromagnetic random-bond three-state Potts model by symmetry-breaking boundary conditions. The fractal dimension $d_f$ of the interface was determined. The corresponding SLE parameter $\kappa$ was estimated to be $\kappa\simeq 3.18(6)$, compatible with previous estimate. On the other hand, we estimated $\kappa$ independently from the probability of passage of the interface at the left of a given point. The numerical data are well reproduced by the Schramm theoretical prediction and the fit leads to $\kappa\simeq 3.245(10)$, in agreement with the first estimate. This provides evidences that the geometric properties of spin interfaces in the random 3-state Potts model may be described by chordal ${\rm SLE}_\kappa$.
No associations
LandOfFree
Numerical study of Schramm-Loewner Evolution in the random 3-state Potts model 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 Numerical study of Schramm-Loewner Evolution in the random 3-state Potts model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical study of Schramm-Loewner Evolution in the random 3-state Potts model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-260902