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

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 dynami...

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Bibliographic Details
Published in:arXiv.org 2008-06
Main Authors: Uzelac, Katarina, Glumac, Zvonko, Barisic, Osor S
Format: Article
Language:English
Subjects:
Autocorrelation functions
Correlation analysis
Magnetic properties
Magnetization
Mathematical models
Online Access:Get full text
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Summary: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 \(\sigma\) belonging to the nontrivial critical regime.
ISSN:2331-8422
DOI:10.48550/arxiv.0805.0719