Broken Ergodicity in Classically Chaotic Spin Systems
Broken Ergodicity in Classically Chaotic Spin Systems
复制标题
经典混沌自旋系统中的破坏遍历性
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
Emanuele Pedersoli
中科院分区：
文献类型：
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作者：
F. Borgonovi;G. Celardo;M. Maianti;Emanuele Pedersoli
考虑了具有不对称耦合和两种不同自旋间相互作用的一维经典混沌自旋链，即最近邻和全对全相互作用。根据相互作用范围的不同，遍历性和混沌性等动力学性质也有很大的不同。事实上，即使在混沌存在的情况下，该模型也只在存在所有对所有相互作用且低于热力学极限的能量阈值时才显示出遍历性的缺乏。对于具有非对称耦合的一般XY模型，能量阈值可以用解析方法求得，结果可以推广。
A one dimensional classically chaotic spin chain with asymmetric coupling and two different inter-spin interactions, nearest neighbors and all-to-all, has been considered. Depending on the interaction range, dynamical properties such as ergodicity and chaoticity are very different. Indeed, even in the presence of chaoticity, the model displays a lack of ergodicity only in presence of all to all interaction and below an energy threshold, that persists in the thermodynamical limit. The energy threshold can be found analytically and results can be generalized for a generic XY model with asymmetric coupling.