PMID: 11308626Apr 20, 2001Paper

Random Ginzburg-Landau model revisited: reentrant phase transitions

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
J BucetaF J de la Rubia

Abstract

We analyze the phase diagram of the random Ginzburg-Landau model, where a quenched dichotomous noise affects the control parameter. We show that the system exhibits two types of counterintuitive reentrant second-order phase transitions. In the first case, increasing the coupling drives the system from a disordered to an ordered state and then back to a disordered state. In the second case, increasing the intensity of the quenched noise, the system goes from an ordered phase to a disordered phase and back to an ordered state. We discuss the general mechanism that produces these reentrant phase transitions, showing that it may appear in other physical systems, such as a modification of the spin-1 Blume-Capel model proposed to describe the critical behavior of helium mixtures in a random medium.

References

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Citations

Feb 16, 2019·Scientific Reports·Alejandro Mendoza-CotoRogelio Díaz-Méndez
Sep 13, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Svetlana E KurushinaYurii M Romanovskii
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Niko Komin, Raúl Toral
Aug 26, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J Buceta, Katja Lindenberg
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kevin WoodKatja Lindenberg

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