Short-time dynamics in the 1D long-range Potts model

2008/05/01 by K. Uzelac, Katarina Uzelac, Z. Glumac +3
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1140/epjb/e2008-00201-3

published as Eur. Phys. J. B 63, 101-108 (2008) · 8 pages, 8 figures, minor changes - several typos fixed, one reference changed

openalex publication_date 2008/05/01 · arxiv created 2008/06/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present numerical investigations of the short-time dynamics at criticality in the 1D Potts model with power-law decaying interactions of the form 1/r^1+sigma. The scaling properties of the magnetization, autocorrelation function and time correlations of the magnetization are studied. The dynamical critical exponents theta' and z are derived in the cases q=2 and q=3 for several values of the parameter σ belonging to the nontrivial critical regime.

Citations

• Calculation of Dynamic Critical Properties Using Wilson's Expansion Methods
• Theory of dynamic critical phenomena
• Critical behaviour of the 1D q-state Potts model with long-range interactions
• Kinetics of the long-range spherical model