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First-order transition in a three-dimensional disordered system



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Fernández Pérez, Luis Antonio and Gordillo Guerrero, A. and Martín Mayor, Víctor and Ruiz Lorenzo, J. J. (2008) First-order transition in a three-dimensional disordered system. Physical review letters, 100 (5). ISSN 0031-9007

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Official URL: http://doi.org/10.1103/PhysRevLett.100.057201


We present the first detailed numerical study in three dimensions of a first-order phase transition that remains first order in the presence of quenched disorder (specifically, the ferromagnetic-paramagnetic transition of the site-diluted four states Potts model). A tricritical point, which lies surprisingly near the pure-system limit and is studied by means of finite-size scaling, separates the first-order and second-order parts of the critical line. This investigation has been made possible by a new definition of the disorder average that avoids the diverging-variance probability distributions that plague the standard approach. Entropy, rather than free energy, is the basic object in this approach that exploits a recently introduced microcanonical Monte Carlo method.

Item Type:Article
Additional Information:

© 2008 American Physical Society. This work has been partially supported by MEC through Contracts No. FIS2004-01399, No. FIS2006-08533-C03, No. FIS2007-60977 and by CAM and BSCH. Computer time was obtained at BIFI, UCM, UEX, and, mainly, in the Mare Nostrum. The authors thankfully acknowledge the computer resources and technical expertise provided by the Barcelona Supercomputing Center.

Uncontrolled Keywords:Diluted ising-model; Bond Potts models; Critical-behavior; Phase-transitions; Monte-Carlo; Critical exponents.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:38265
Deposited On:30 Jun 2016 10:17
Last Modified:30 Jun 2016 10:17

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