渐进淬火-全局耦合模型
Progressive quenching - Globally coupled model
摘要：
我们研究的过程中，一个系统的波动元素逐渐固定（淬火），同时保持与其余的不固定元素的相互作用。如果Ising自旋元之间的相互作用是全局的，并且每次固定一个自旋元后，不固定自旋部分都重新平衡，那么大系统的演化是关于不固定自旋平衡值的鞅。由于这种性质，从临界点开始的系统产生最终的磁化强度，其分布显示出非高斯和缓慢的瞬态标度与系统。
英文摘要：
We study the processes in which fluctuating elements of a system are progressively fixed (quenched) while keeping the interaction with the remaining unfixed elements. If the interaction is global among the Ising spin elements and if the unfixed part is re-equilibrated each time after fixing an element, the evolution of large system is martingale about the equilibrium spin value of the unfixed spins. Due to this property the system starting from the critical point yields the final magnetization whose distribution shows non-Gaussian and slow transient scaling with the system.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
