Critical Behavior of Random Bond Potts Models

Details Critical Behavior of Random Bond Potts Models Critical Behavior of Random Bond Potts Models

1997-05-05

arxiv.org/abs/cond-mat/9705038v2

Phys. Rev. Lett. 79, 4063 (1997).

Physics

Condensed Matter

Statistical Mechanics

13 pages, RevTeX. 4 figures included. Submitted to Phys.Rev.Lett

Scientific paper

10.1103/PhysRevLett.79.4063

The effect of quenched impurities on systems which undergo first-order phase transitions is studied within the framework of the q-state Potts model. For large q a mapping to the random field Ising model is introduced which provides a simple physical explanation of the absence of any latent heat in 2D, and suggests that in higher dimensions such systems should exhibit a tricritical point with a correlation length exponent related to the exponents of the random field model by \nu = \nu_RF / (2 - \alpha_RF - \beta_RF). In 2D we analyze the model using finite-size scaling and conformal invariance, and find a continuous transition with a magnetic exponent \beta / \nu which varies continuously with q, and a weakly varying correlation length exponent \nu \approx 1. We find strong evidence for the multiscaling of the correlation functions as expected for such random systems.

Affiliated with

Also associated with

No associations

Rating

Critical Behavior of Random Bond Potts Models 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 Critical Behavior of Random Bond Potts Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical Behavior of Random Bond Potts Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-640994