Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

International Journal of Modern Physics C

DYNAMIC SCALING FOR FIRST-ORDER PHASE TRANSITIONS

Banu Ebru Özoğuz, Y. Gündüç, Meral Aydın

Published May 1, 2000• 1 citation
Publisher

Abstract

The critical behavior in short time dynamics for the q = 6 and 7 state Potts models in two-dimensions is investigated. It is shown that dynamic finite-size scaling exists for first-order phase transitions.
DOI
10.1142/s0129183100000468

Related papers

Dynamic Scaling for First-order Phase Transtions

Banu Ebru Özoğuz, Y. Gündüç, Meral Aydın

The critical behaviour in short time dynamics for the q=6 and 7 state Potts models in two-dimensions is investigated. It is shown that dynamic finite-size scaling exists for first-order phase transitions.

arXiv:cond-mat/0003323•Mar 20, 2000•0 citations

NUMERICAL STUDY OF FINITE SIZE SCALING FOR FIRST ORDER PHASE TRANSITIONS

Alain H. Billoire

I present reaults of simulations of the q=10 and q=20 2-d Potts models in the transition region. The asymptotic finite size behavior sets in only for extremely large lattices. We learn from this simulation that finite size scaling cannot be used to decide that a transition is first order.

arXiv:hep-lat/9208026•International Journal of Modern Physics C•Oct 1, 1992•7 citations

Dynamic approach to weak first-order phase transitions

Lothar Schülke, Bo Zheng

A short-time dynamic approach to weak first-order phase transitions is proposed. Taking the two-dimensional Potts models as examples, from short-time behavior of nonequilibrium relaxational processes starting from high temperature and zero temperature states, pseudo-critical-points K* and K** are determined. A clear difference of the values for K* and K** distinguishes a weak first-order transition from a second-order one.

arXiv:cond-mat/0003161•Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics•Nov 1, 2000•50 citations

Dynamic finite-size scaling at first-order transitions

Andrea Pelissetto C, Ettore Vicari

We investigate the dynamic behavior of finite-size systems close to a first-order transition (FOT). We develop a dynamic finite-size scaling (DFSS) theory for the dynamic behavior in the coexistence region where different phases coexist. This is characterized by an exponentially large time scale related to the tunneling between the two phases. We show that, when considering time scales of the order of the tunneling time, the dynamic behavior can be described by a two-state coarse-grained dynamics. This allows us to obtain exact predictions for the dynamical scaling functions. To test the general DFSS theory at FOTs, we consider the two-dimensional Ising model in the low-temperature phase, where the external magnetic field drives a FOT, and the 20-state Potts model, which undergoes a thermal FOT. Numerical results for a purely relaxational dynamics fully confirm the general theory.

arXiv:1705.03198•Physical review. E•Jul 12, 2017•14 citations

Observation of fss for a first order phase transition

Alain H. Billoire, T. Neuhaus, Universität Bielefeld +1 more

We present the results of a multicanonical simulation of the q=20 2-d Potts model in the transition region. This is a very strong first order phase transition. We observe, for the first time, the asymptotic finite size scaling behavior predicted by Borgs and Koteck´y close to a first order phase transition point. SPhT-92/120

•Jan 1, 1993•33 citations

New Numerical Method to Study Phase Transitions and its Applications

Jooyoung Lee

We present a powerful method of identifying the nature of transitions by numerical simulation of finite systems. By studying the finite size scaling properties of free energy barrier between competing states, we can identify unambiguously a weak first order transition even when accessible system sizes are L/{xi} < 0.05 as in the five state Potts model in two dimensions. When studying a continuous phase transition we obtain quite accurate estimates of critical exponents by treating it as a field driven first order transition. The method has been successfully applied to various systems.

•Jan 1, 1991•0 citations
We investigate the dynamic behavior of finite-size systems close to a first-order transition (FOT). We develop a dynamic finite-size scaling (DFSS) theory for the dynamic behavior in the coexistence region where different phases coexist. This is characterized by an exponentially large time scale related to the tunneling between the two phases. We show that, when considering time scales of the order of the tunneling time, the dynamic behavior can be described by a two-state coarse-grained dynamics. This allows us to obtain exact predictions for the dynamical scaling functions. To test the general DFSS theory at FOTs, we consider the two-dimensional Ising model in the low-temperature phase, where the external magnetic field drives a FOT, and the 20-state Potts model, which undergoes a thermal FOT. Numerical results for a purely relaxational dynamics fully confirm the general theory.
We present a powerful method of identifying the nature of transitions by numerical simulation of finite systems. By studying the finite size scaling properties of free energy barrier between competing states, we can identify unambiguously a weak first order transition even when accessible system sizes are L/{xi} < 0.05 as in the five state Potts model in two dimensions. When studying a continuous phase transition we obtain quite accurate estimates of critical exponents by treating it as a field driven first order transition. The method has been successfully applied to various systems.