On the Symmetry of Universal Finite-Size Scaling Functions in Anisotropic Systems

Details On the Symmetry of Universal Finite-Size Scaling Functions in Anisotropic Systems On the Symmetry of Universal Finite-Size Scaling Functions in Anisotropic Systems

2002-02-08

arxiv.org/abs/cond-mat/0202142v1

J. Phys. A: Math. Gen. 35 (9 August 2002) L481-L487

Physics

Condensed Matter

Statistical Mechanics

RevTeX4, 4 pages, 3 figures

Scientific paper

10.1088/0305-4470/35/31/103

In this work a symmetry of universal finite-size scaling functions under a certain anisotropic scale transformation is postulated. This transformation connects the properties of a finite two-dimensional system at criticality with generalized aspect ratio $\rho > 1$ to a system with $\rho < 1$. The symmetry is formulated within a finite-size scaling theory, and expressions for several universal amplitude ratios are derived. The predictions are confirmed within the exactly solvable weakly anisotropic two-dimensional Ising model and are checked within the two-dimensional dipolar in-plane Ising model using Monte Carlo simulations. This model shows a strongly anisotropic phase transition with different correlation length exponents $\nu_{||} \neq \nu_\perp$ parallel and perpendicular to the spin axis.

Affiliated with

Also associated with

No associations

Rating

On the Symmetry of Universal Finite-Size Scaling Functions in Anisotropic Systems 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 On the Symmetry of Universal Finite-Size Scaling Functions in Anisotropic Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Symmetry of Universal Finite-Size Scaling Functions in Anisotropic Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-591583