Destruction of first-order phase transition in a random-field Ising model

Details Destruction of first-order phase transition in a random-field Ising model Destruction of first-order phase transition in a random-field Ising model

2007-09-26

arxiv.org/abs/0709.4214v2

J. Phys.: Condens. Matter 20, 145211 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, 3 figures

Scientific paper

10.1088/0953-8984/20/14/145211

The phase transitions that occur in an infinite-range-interaction Ising ferromagnet in the presence of a double-Gaussian random magnetic field are analyzed. Such random fields are defined as a superposition of two Gaussian distributions, presenting the same width $\sigma$. Is is argued that this distribution is more appropriate for a theoretical description of real systems than its simpler particular cases, i.e., the bimodal ($\sigma=0$) and the single Gaussian distributions. It is shown that a low-temperature first-order phase transition may be destructed for increasing values of $\sigma$, similarly to what happens in the compound $Fe_{x}Mg_{1-x}Cl_{2}$, whose finite-temperature first-order phase transition is presumably destructed by an increase in the field randomness.

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