Short-time critical dynamics and universality on a two-dimensional triangular lattice

H.-P Ying, L Wang, J.-B Zhang, M Jiang and J Hu

Physica A: Statistical Mechanics and its Applications, 2001, vol. 294, issue 1, 111-122

Abstract: The critical scaling and universality in the short-time dynamics for spin models on a two-dimensional triangular lattice are investigated by using a Monte Carlo simulation. Emphasis is placed on the dynamic evolutions from fully ordered initial states to show that universal scaling exists already in the short-time regime in forms of power-law behavior of the magnetizations and Binder cumulant. The results estimated for the dynamic and static critical exponents, θ, z, β and ν, confirm explicitly that the Potts models on the triangular lattice and square lattice belong to the same universality classes. Our critical scaling analysis strongly suggests that the simulation for the dynamic relaxations can be used to determine the universality.

Keywords: Short-time dynamics; Potts model; Critical exponents; Universality (search for similar items in EconPapers)
Date: 2001
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437101000413
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:294:y:2001:i:1:p:111-122

DOI: 10.1016/S0378-4371(01)00041-3

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().