First-order phase transition in a 2D random-field Ising model with conflicting dynamics

Details First-order phase transition in a 2D random-field Ising model with conflicting dynamics First-order phase transition in a 2D random-field Ising model with conflicting dynamics

2009-01-17

arxiv.org/abs/0901.2659v1

Journal of Stat. Mech. P02058 (2009)

Physics

Condensed Matter

Statistical Mechanics

13 pages, 9 figures, accepted for publication in JSTAT

Scientific paper

10.1088/1742-5468/2009/02/P02058

The effects of locally random magnetic fields are considered in a nonequilibrium Ising model defined on a square lattice with nearest-neighbors interactions. In order to generate the random magnetic fields, we have considered random variables $\{h\}$ that change randomly with time according to a double-gaussian probability distribution, which consists of two single gaussian distributions, centered at $+h_{o}$ and $-h_{o}$, with the same width $\sigma$. This distribution is very general, and can recover in appropriate limits the bimodal distribution ($\sigma\to 0$) and the single gaussian one ($ho=0$). We performed Monte Carlo simulations in lattices with linear sizes in the range $L=32 - 512$. The system exhibits ferromagnetic and paramagnetic steady states. Our results suggest the occurence of first-order phase transitions between the above-mentioned phases at low temperatures and large random-field intensities $h_{o}$, for some small values of the width $\sigma$. By means of finite size scaling, we estimate the critical exponents in the low-field region, where we have continuous phase transitions. In addition, we show a sketch of the phase diagram of the model for some values of $\sigma$.

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