Spasojević Djordje, Janićević Sanja, Knežević Milan
University of Belgrade, Faculty of Physics, POB 44, 11001 Belgrade, Serbia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jan;89(1):012118. doi: 10.1103/PhysRevE.89.012118. Epub 2014 Jan 15.
We present a numerical analysis of spanning avalanches in a two-dimensional (2D) nonequilibrium zero-temperature random field Ising model. Finite-size scaling analysis, performed for distribution of the average number of spanning avalanches per single run, spanning avalanche size distribution, average size of spanning avalanche, and contribution of spanning avalanches to magnetization jump, is augmented by analysis of spanning field (i.e., field triggering spanning avalanche), which enabled us to collapse averaged magnetization curves below critical disorder. Our study, based on extensive simulations of sufficiently large systems, reveals the dominant role of subcritical 2D-spanning avalanches in model behavior below and at the critical disorder. Other types of avalanches influence finite systems, but their contribution for large systems remains small or vanish.
我们对二维（2D）非平衡零温随机场伊辛模型中的跨越雪崩进行了数值分析。通过对每次运行中跨越雪崩的平均数量分布、跨越雪崩大小分布、跨越雪崩的平均大小以及跨越雪崩对磁化跳跃的贡献进行有限尺寸标度分析，并结合对跨越场（即触发跨越雪崩的场）的分析，使我们能够将低于临界无序度的平均磁化曲线进行塌缩。我们基于对足够大系统的广泛模拟研究表明，亚临界二维跨越雪崩在低于和处于临界无序度时的模型行为中起主导作用。其他类型的雪崩会影响有限系统，但它们对大系统的贡献仍然很小或消失。
