论文标题
在具有淬火的随机晶体场的二维蓝光模型中的普遍性
Ising universality in the two-dimensional Blume-Capel model with quenched random crystal field
论文作者
论文摘要
使用基于Wang-Landau算法的平行版和有限尺寸的缩放技术的高精度蒙特卡洛模拟，我们研究了淬火障碍在布鲁姆 - 帕克尔模型对方形晶格中的晶体场耦合中的效果。我们主要关注纯模型经历连续过渡的相位图的部分，已知会属于纯Ising Ferromagnet的通用类别。专门的缩放分析揭示了具体的证据，有利于强烈的普遍性假设，并且在特定热的缩放中存在其他对数校正。我们的结果与该模型的早期真实空间重新归化组研究以及最近的数值工作一致，其中在能量交换耦合中引入了淬火的随机性。最后，通过正确调整随机性分布的控制参数，我们还定性地研究了纯模型经历一阶相变的相图部分。对于该区域，初步证据表明，在存在强缩放校正的情况下，过渡到二阶的过渡平稳。
Using high-precision Monte-Carlo simulations based on a parallel version of the Wang-Landau algorithm and finite-size scaling techniques we study the effect of quenched disorder in the crystal-field coupling of the Blume-Capel model on the square lattice. We mainly focus on the part of the phase diagram where the pure model undergoes a continuous transition, known to fall into the universality class of the pure Ising ferromagnet. A dedicated scaling analysis reveals concrete evidence in favor of the strong universality hypothesis with the presence of additional logarithmic corrections in the scaling of the specific heat. Our results are in agreement with an early real-space renormalization-group study of the model as well as a very recent numerical work where quenched randomness was introduced in the energy exchange coupling. Finally, by properly fine tuning the control parameters of the randomness distribution we also qualitatively investigate the part of the phase diagram where the pure model undergoes a first-order phase transition. For this region, preliminary evidence indicate a smoothening of the transition to second-order with the presence of strong scaling corrections.
