Corrections to scaling in the dynamic approach to the phase transition with quenched disorder

2014/07/01 by L. Wang, Nengji Zhou, N. J. Zhou +2
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Critical exponent #Critical point (mathematics) #Dynamic scaling #Exponent #Material Dynamics and Properties #Mathematical analysis #Mathematics #Monte Carlo method #Phase transition #Physics #Point (geometry) #Potts model #Scaling #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #Transition point #cond-mat.stat-mech

paper · pdf · doi:10.1209/0295-5075/107/16001

10 pages, 6 figures, 2 tables

openalex publication_date 2014/07/01 · arxiv created 2014/08/25 · arxiv updated 2014/08/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

With dynamic Monte Carlo simulations, we investigate the continuous phase transition in the three-dimensional three-state random-bond Potts model. We propose a useful technique to deal with the strong corrections to the dynamic scaling form. The critical point, static exponents β and ν , and dynamic exponent z are accurately determined. Particularly, the results support that the exponent ν satisfies the lower bound .

Citations

• Softening of first-order transition in three-dimensions by quenched disorder
• Monte Carlo study of phase transitions in the bond-diluted 3D 4-state Potts model
• Dynamic Approach to the Fully FrustratedXYModel
• Effect of random defects on the critical behaviour of Ising models
• Quenched bond randomness in marginal and non-marginal Ising spin models in 2D
• Scaling analysis of the site-diluted Ising model in two dimensions