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First Order Phase Transition in a 3D 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 Phase Transition in a 3D disordered system. AIP conference proceedings: large scale simulations of complex systems, condensed matter and fusion plasma, 1071 . pp. 46-57. ISSN 0094-243x

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Official URL: http://dx.doi.org/10.1063/1.3033359


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Abstract

We present a detailed numerical study on the effects of adding quenched impurities to a three dimensional system which in the pure case undergoes a strong first order phase transition (specifically, the ferromagnetic/paramagnetic transition of the site-diluted four states Potts model). We can state that the transition remains first-order in the presence of quenched disorder (a small amount of it) but it turns out to be second order as more impurities are added. A tricritical point, which is studied by means of Finite-Size Scaling, separates the first-order and second-order parts of the critical line. The results were made possible by a new definition of the disorder average that avoids the diverging-variance probability distributions that arise using the standard methodology. We also made use of a recently proposed microcanonical Monte Carlo method in which entropy, instead of free energy, is the basic quantity.


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Additional Information:

© 2008 American Institute of Physics. BIFI International Congress (111th. 2008. Zaragoza, Spain). This work has been partially supported by MEC through contracts No. FIS2004-0I399, FIS2006-08533-C03, FIS2007-60977 and by CAM and BSCH. Computer time was obtained at BIFI, UCM and UEx and (~ 50%) in the Mare Nostrum. The authors thankfully acknowledge the computer resources and technical expertise provided by the Barcelona Supercomputing Center.

Uncontrolled Keywords:Field ising-model; Bond Potts models; Critical exponents; Critical-behavior; Monte-Carlo.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:38301
Deposited On:05 Jul 2016 07:51
Last Modified:05 Jul 2016 07:51

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