P. N. Timonin
Published 2003-08-21Version 1
The simplified model of first-order transition in a media with frozen long-range transition-temperature disorder is considered. It exhibits the smearing of the transition due to appearance of the intermediate inhomogeneous phase with thermodynamics described by the ground state of the short-range random-field Ising model. Thus the model correctly reproduce the persistence of first-order transition only in dimensions d > 2, which is found in more realistic models. It also allows to estimate the behavior of thermodynamic parameters near the boundaries of the inhomogeneous phase.
Emerging critical behavior at a first-order phase transition rounded by disorder
First-order transition in small-world networks
The Wishart planted ensemble: A tunably-rugged pairwise Ising model with a first-order phase transition
