RT Journal Article T1 First-order transition in a three-dimensional disordered system A1 Fernández Pérez, Luis Antonio A1 Gordillo Guerrero, A. A1 Martín Mayor, Víctor A1 Ruiz Lorenzo, J. J. AB 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. PB American Physical Society SN 0031-9007 YR 2008 FD 2008-02-08 LK https://hdl.handle.net/20.500.14352/51915 UL https://hdl.handle.net/20.500.14352/51915 LA eng NO © 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. NO MEC (Spain) NO CAM (Spain) NO BSCH DS Docta Complutense RD 5 abr 2025