五氧化二钒聚集体的弹性性质与拓扑缺陷
Elastic properties of vanadium pentoxide aggregates and topological defects
摘要：
本文用拓扑学方法研究了五氧化二钒水溶液。Zocher、Kaznacheev和Dogic的实验表明，在$V_2O_5-H_2O$的溶胶相中，$V_2O_5$的类立构液滴可以聚结。在磁场中，这种效应与规范场的作用有关，即我们认为液滴的聚结（在拓扑学上更方便的术语，“结”）是拓扑缺陷的湮灭，与拟晶几何有关。我们已经证明，在磁场中，类结主要是由非阿贝尔单极子（涡旋子）引起的，而阿贝尔缺陷几乎不湮灭。考虑到这种湮灭机制，可以规定$V_2O_5-H_2O$溶胶的时间老化估计
英文摘要：
We study the aqueous solution of vanadium pentoxide by using topology methods. The experiments by Zocher, Kaznacheev, and Dogic exhibited, that in the sol phases of $V_2O_5-H_2O$, the tactoid droplets of $V_2O_5$ can coalesce. In the magnetic field, this effect is associated with a gauge field action, viz. we consider coalescence (in the topologically more convenient term, "junction") of droplets as annihilation of topological defects, concerning with the tactoid geometry. We have shown, that in the magnetic field, the tactoid junction is mainly caused by non-Abelian monopoles (vortons), whereas the Abelian defects almost do not annihilate. Taking into account this annihilation mechanism, the estimations of time-aging of the $V_2O_5-H_2O$ sols may be specified
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