玻璃化转变中自相似Lennard-Jones势的不动点
Fixed point of self-similar Lennard-Jones potentials in the glass transition
摘要：
利用自相似的8阶Lennard-Jones（L-J）势涨落的加强约束递推方程，从理论上证明了玻璃化转变过程中势能面的存在.波动加强约束的稳定条件就是本文精确推导出的林德曼比为0.1047。界面激发的产生和传递是由于自相似L-J势涨落与几何相势涨落的平衡，并在不同大小的平均场的自相似平均场中产生了一个新的吸引势-17/16 ε i，低于L-J势的i阶势阱能-ε i。两体系统的离域能就是激发界面的转移能，离域路径在拓扑分析中沿8阶测地线。
英文摘要：
The existence of potential energy landscape in the glass transition has been theoretically proved using the recursive equation of reinforce-restraint of self-similar 8 orders of Lennard-Jones (L-J) potential fluctuations. The stability condition for fluctuation reinforce-restraint is just the Lindemann ratio that is exactly deduced as 0.1047in this paper. The origin and transfer of interface excitation comes of the balance between self-similar L-J potential fluctuation and geometric phase potential fluctuation, which also gives rise to a new attractive potential of -17/16ε_i, lower than the potential well energy -ε_i of i-th order of L-J potential, in the self-similar mean field of mean fields of different sizes. The delocalization energy of two-body is exactly the transfer energy of excited interface, and the delocalization path is along 8 orders of geodesics in topological analyses.
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