臺灣博碩士論文加值系統

在物理的晶格系統上，有自旋交互作用、磁能、磁滯曲線這些現象，這些物理量的計算雖然很複雜，但都考慮鄰近關係和交互作用。而網路傳播擴散的現象，也是考慮鄰近關係，而晶格結構比網路結構更簡單而有規則，所以我們利用網路只考慮鄰近關係的概念來嘗試簡化自旋交互作用、磁能、磁滯曲線的計算。本研究發現，物理上的磁性作用，與網路上的傳播有相似的結果，這隱含了兩者之間的相關性。

We adapted the concept of nearest-neighbors on networks into the magnetic properties in lattices, where the spin coupling is considered as information exchanges. The correlation of lattices is transferred into a matrix, where the elements are set by the interaction strength between any two electrons on their lattice sites. The spin state for each site is described by a vector, in which the element corresponds to the spin along a certain direction. The magnetic properties such as spin coupling, magnetic energy, and the hysteresis loops are successfully obtained. It reveals that spin interaction between electrons on the lattice site is similar to the that between nodes on the network.

第一章 序論 6
1.1前言 6
1.2研究動機 8
第二章 研究方法 11
第三章 結果 13
3.1 檢驗關係矩陣 13
3.2 磁能 29
3.3磁滯曲線 34
第四章 討論 39
第五章 結論 40
補充 41
參考文獻 44

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