有限尺寸球形三自旋玻璃模型的能量景观
Energy landscape of the finite-size spherical three-spin glass model.
作者信息
Mehta Dhagash, Stariolo Daniel A, Kastner Michael
机构信息
Department of Physics, Syracuse University, Syracuse, New York 13244, USA.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 May;87(5):052143. doi: 10.1103/PhysRevE.87.052143. Epub 2013 May 30.
We study the three-spin spherical model with mean-field interactions and Gaussian random couplings. For moderate system sizes of up to 20 spins, we obtain all stationary points of the energy landscape by means of the numerical polynomial homotopy continuation method. On the basis of these stationary points, we analyze the complexity and other quantities related to the glass transition of the model and compare these finite-system quantities to their exact counterparts in the thermodynamic limit.
我们研究具有平均场相互作用和高斯随机耦合的三自旋球形模型。对于中等系统规模（最多20个自旋），我们通过数值多项式同伦延拓方法获得能量景观的所有驻点。基于这些驻点，我们分析与模型玻璃化转变相关的复杂性和其他量，并将这些有限系统的量与其在热力学极限下的精确对应量进行比较。
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