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Numerical test of the Cardy-Jacobsen conjecture in the site-diluted Potts model in three dimensions.

Authors :
Fernandez, L. A.
Gordillo-Guerrero, A.
Martin-Mayor, V.
Ruiz-Lorenzo, J. J.
Source :
Physical Review B: Condensed Matter & Materials Physics. Nov2012, Vol. 86 Issue 18, p1-9. 9p.
Publication Year :
2012

Abstract

We present a microcanonical Monte Carlo simulation of the site-diluted Potts model in three dimensions with eight internal states, partly carried out on the citizen supercomputer Ibercivis. Upon dilution, the pure model's first-order transition becomes of the second order at a tricritical point. We compute accurately the critical exponents at the tricritical point. As expected from the Cardy-Jacobsen conjecture, they are compatible with their random field Ising model counterpart. The conclusion is further reinforced by comparison with older data for the Potts model with four states. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10980121
Volume :
86
Issue :
18
Database :
Academic Search Index
Journal :
Physical Review B: Condensed Matter & Materials Physics
Publication Type :
Academic Journal
Accession number :
84635619
Full Text :
https://doi.org/10.1103/PhysRevB.86.184428