Abstract
The dielectric medium consisting of rigidly polarized molecules is treated as a 3D disordered spin system. For investigation of statistical properties of this system on a scales of space-time periods of standing electromagnetic wave a microscopic approach has been developed. Using Birgoff’s ergodic hypothesis the initial 3D spin-glass problem is reduced to two conditionally separated 1D problems along the external electromagnetic field’s propagation. The first problem describes a quantum dynamics of 1D disordered N-particles system with relaxation in 3D media, while the second one describes a statistical properties of ensemble of disordered steric 1D spin-chains. On the base of constructions which are developed in both problems, is calculated the coefficient of polarizability related with the collective orientational effects of dipoles in external standing electromagnetic field. The Clausius-Mossotti equation for effective dielectric constant on the space-time scale’s of external standing field is generalized. The effective parallel algorithm for computation of stationary dielectric constant is proposed.
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Gevorkyan, A.S., Hu, CK., Flach, S. (2010). Retracted: New Mathematical Conception and Computation Algorithm for Study of Quantum 3D Disordered Spin System under the Influence of External Field. In: Gavrilova, M.L., Tan, C.J.K. (eds) Transactions on Computational Science VII. Lecture Notes in Computer Science, vol 5890. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11389-5_8
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