Ising铁磁体：零温动态演化
Ising Ferromagnet: Zero-Temperature Dynamic Evolution
摘要：
本文用蒙特卡罗方法模拟了正方形晶格上均匀伊辛铁磁体在零温下的动态演化。系统总是最终达到一个最终的吸收态，它有时与基态重合（所有自旋平行），有时不重合（上下自旋的平行条纹）。我们开始在这里的“混沌时间依赖性”（CTD）的数值研究，看看有多少信息的最终状态是可预测的随机产生的淬火初始状态。CTD最初是为了解释非平衡自旋玻璃如何表现出平衡纯态结构而提出的，但在更简单的系统中，如均匀铁磁体，它与长期可预测性密切相关，我们的研究结果表明，CTD确实可能发生在无限体积极限。
英文摘要：
The dynamic evolution at zero temperature of a uniform Ising ferromagnet on a square lattice is followed by Monte Carlo computer simulations. The system always eventually reaches a final, absorbing state, which sometimes coincides with a ground state (all spins parallel), and sometimes does not (parallel stripes of spins up and down). We initiate here the numerical study of ``Chaotic Time Dependence'' (CTD) by seeing how much information about the final state is predictable from the randomly generated quenched initial state. CTD was originally proposed to explain how nonequilibrium spin glasses could manifest equilibrium pure state structure, but in simpler systems such as homogeneous ferromagnets it is closely related to long-term predictability and our results suggest that CTD might indeed occur in the infinite volume limit.
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