The two dimensional XY model at the transition temperature: A high precision Monte Carlo study

Details The two dimensional XY model at the transition temperature: A high precision Monte Carlo study The two dimensional XY model at the transition temperature: A high precision Monte Carlo study

2005-02-23

arxiv.org/abs/cond-mat/0502556v2

J.Phys. A38 (2005) 5869-5884

Physics

Condensed Matter

Statistical Mechanics

Monte Carlo results for xi/L in table 1 and 2 corrected. Due to a programming error,these numbers were wrong by about a factor

Scientific paper

10.1088/0305-4470/38/26/003

We study the classical XY (plane rotator) model at the Kosterlitz-Thouless phase transition. We simulate the model using the single cluster algorithm on square lattices of a linear size up to L=2048.We derive the finite size behaviour of the second moment correlation length over the lattice size xi_{2nd}/L at the transition temperature. This new prediction and the analogous one for the helicity modulus are confronted with our Monte Carlo data. This way beta_{KT}=1.1199 is confirmed as inverse transition temperature. Finally we address the puzzle of logarithmic corrections of the magnetic susceptibility chi at the transition temperature.

Affiliated with

Also associated with

No associations

Rating

The two dimensional XY model at the transition temperature: A high precision Monte Carlo study 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 The two dimensional XY model at the transition temperature: A high precision Monte Carlo study, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The two dimensional XY model at the transition temperature: A high precision Monte Carlo study will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-398848