Exploring valleys of aging systems: the spin glass case
Exploring valleys of aging systems: the spin glass case
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探索老化系统的山谷：旋转玻璃盒
DOI：
10.1140/epjb/e2003-00340-y
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
P. Sibani
中科院分区：
文献类型：
--
作者：
J. Dall;P. Sibani
翻译后摘要：我们提出了一个复杂的能源景观勘探的统计方法，它提供了信息的亚稳态-或山谷-实际上探索了一个不受干扰的老化过程后淬火。记录大小的能量波动被确定为使系统从一个谷移动到下一个谷的事件。这允许在对数泊松统计，其主要特点简要解释方面的半分析描述。大部分的文件是专门深入调查伊辛自旋玻璃与高斯相互作用的短期和长期的范围内，一个良好的建立范式玻璃动力学。简单的标度表达式与普遍指数（a）势垒能量，（B）能量极小值，和（c）的汉明距离作为一个函数的valley index. The分布的停留时间内的山谷进入年龄tw的调查，沿着与时间的分布，在该时间内的一个山谷内的全球最小值被击中。最后，景观的最小值之间的相关性。结果很好地符合自旋玻璃老化的现有知识的框架。同时，他们支持一个新的解释，在复杂的景观与多个亚稳态的热弛豫。所选择的吸引子的边缘稳定性的强调和解释的几何性质的景观。
Abstract.We present a statistical method for complex energy landscape exploration which provides information on the metastable states--or valleys--actually explored by an unperturbed aging process following a quench. Energy fluctuations of record size are identified as the events which move the system from one valley to the next. This allows for a semi-analytical description in terms of log-Poisson statistics, whose main features are briefly explained. The bulk of the paper is devoted to thorough investigations of Ising spin glasses with Gaussian interactions of both short and long range, a well established paradigm for glassy dynamics. Simple scaling expressions with universal exponents for (a) barrier energies, (b) energy minima, and (c) the Hamming distance as a function of the valley index are found. The distribution of residence time inside valleys entered at age tw is investigated, along with the distribution of time at which the global minimum inside a valley is hit. Finally, the correlations between the minima of the landscape are presented. The results fit well into the framework of available knowledge about spin glass aging. At the same time they support a novel interpretation of thermal relaxation in complex landscapes with multiple metastable states. The marginal stability of the attractors selected is emphasized and explained in terms of geometrical properties of the landscape.