| Summary: | 碩士 === 國立交通大學 === 物理研究所 === 91 === Due to the topological disorder in particle positions of a liquid, the Hessian matrices, which characterize the curvatures of the potential energy surface of this liquid, can be considered as an ensemble of random matrices, similar as the Gaussian orthogonal ensemble in mathematics. Compared with the Anderson model, which is a disorder model in crystalline, the eigenvalue spectrum of the Hessian matrices is expected to have a mobility edge, which separates the full spectrum into the localized- and extended-eigenmode regions. In this thesis, we determine the mobility edge in the positive-eigenvalue spectrum of the TLJ simple fluid via the level-spacing analysis.
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