Related Experiment Video
Updated: May 1, 2026

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
Griffiths phase and critical behavior of the two-dimensional Potts models with long-range correlated disorder
1Groupe de Physique Statistique, Département P2M, Institut Jean Lamour, CNRS UMR No. 7198, Université de Lorraine, F-54506 Vandoeuvre lès Nancy, France.
Abstract:
The q-state Potts model with long-range correlated disorder is studied by means of large-scale Monte Carlo simulations for q=2, 4, 8, and 16. Evidence is given of the existence of a Griffiths phase, where the thermodynamic quantities display an algebraic finite-size scaling, in a finite range of temperatures. The critical exponents are shown to depend on both the temperature and the exponent of the algebraic decay of disorder correlations, but not on the number of states of the Potts model. The mechanism leading to the violation of hyperscaling relations is observed in the entire Griffiths phase.
Related Concept Videos
Potential Due to a Polarized Object
Phase Diagrams of Ternary Systems
First Law: Particles in Two-dimensional Equilibrium
Newton's first law tells us about...
Energy Associated With a Charge Distribution
First Law: Particles in One-dimensional Equilibrium
Phase Diagram

