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Quantum 3D spin-glass system on the scales of space-time periods of external electromagnetic fields

机译:外部电磁场的时空尺度上的Quantum 3D自旋玻璃系统

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A dielectric medium consisting of rigidly polarized molecules has been treated as a quantum 3D disordered spin system. It is shown that using Birkhoff's ergodic hypothesis the initial 3D disordered spin problem on scales of space-time periods of external field is reduced to two conditionally separable 1D problems. The first problem describes a 1D disordered N-particle quantum system with relaxation in random environment while the second one describes statistical properties of ensemble of disordered 1D steric spin chains of certain length. Basing on constructions which are developed in both problems, the coefficient of polarizability related to collective orientational effects under the influence of external field was calculated. On the basis of these investigations the equation of Clausius-Mossotti(CM) has been generalized as well as the equation for permittivity. It is shown that under the influence of weak standing electromagnetic fields in the equation of CM arising of catastrophe is possible, that can substantially change behavior of permittivity in the X-ray region on the macroscopic scale of space.
机译:由刚性极化分子组成的介电介质已被视为量子3D无序自旋系统。结果表明,使用伯克霍夫的遍历假设,将外部场的时空尺度上的初始3D无序自旋问题简化为两个条件可分离的1D问题。第一个问题描述了在随机环境中具有松弛的一维无序N粒子量子系统,而第二个问题描述了一定长度的无序一维空间自旋链的集合的统计性质。根据在两个问题中都发展起来的构造,计算了在外场影响下与集体取向效应有关的极化系数。在这些研究的基础上,对克劳修斯-莫索蒂(CM)方程和介电常数方程进行了推广。结果表明,在弱电磁场的影响下,由灾难引起的CM方程是可能的,它可以在宏观空间尺度上显着改变X射线区域的介电常数行为。

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