Publication: First Order Phase Transition in a 3D disordered system
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2008
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American Institute of Physics
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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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© 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.
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