论文标题
在弹性ISING模型中平均场行为的起源
The Origin of Mean-Field Behavior in an Elastic Ising Model
论文作者
论文摘要
自旋交叉化合物的简单弹性模型在经验上已知以表现出经典的临界行为。我们演示了负责这种行为的长期相互作用是如何在整合了这种模型的机械波动之后自然会产生的。在计算机模拟中观察到的热力学和动力学的最终有效汉密尔顿的平均场理论，包括磁化反转的屏障，随着系统大小的广泛增长。对于打破平移对称性的纳米晶体，平均场理论的直接扩展产生了类似准确的结果。
Simple elastic models of spin-crossover compounds are known empirically to exhibit classical critical behavior. We demonstrate how the long-ranged interactions responsible for this behavior arise naturally upon integrating out mechanical fluctuations of such a model. A mean field theory applied to the resulting effective Hamiltonian quantitatively accounts for both thermodynamics and kinetics observed in computer simulations, including a barrier to magnetization reversal that grows extensively with system size. For nanocrystals, which break translational symmetry, a straightforward extension of mean field theory yields similarly accurate results.
