RT Journal Article
T1 Numerical test of the Cardy-Jacobsen conjecture in the site-diluted Potts model in three dimensions
A1 Fernández Pérez, Luis Antonio
A1 Gordillo Guerrero, A.
A1 Martín Mayor, Víctor
A1 Ruiz Lorenzo, J.J.
AB 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.
PB American Physical Society
SN 1098-0121
YR 2012
FD 2012-11-16
LK https://hdl.handle.net/20.500.14352/45028
UL https://hdl.handle.net/20.500.14352/45028
LA eng
NO © 2012 American Physical Society. We have been partly supported through Research Contracts No. FIS2009-12648-C03 and No. FIS2010-16587 (MICINN), No. GR10158 (Junta de Extremadura), and No. ACCVII-08 (UEX), and by UCM-Banco de Santander. We thank Ibercivis for the equivalent of 3 × 10^(6) CPU hours. The simulations were completed in the clusters Terminus (BIFI) and Horus (U. Extremadura). We also thank N. G. Fytas for a careful reading of the manuscript.
NO Ministerio de Ciencia e Innovación (MICINN)
NO Junta de Extremadura, Spain
NO UEX
NO UCM-Banco de Santander
DS Docta Complutense
RD 11 may 2025