Statistical properties of 1D spin glasses from first principles of classical mechanics

A. S. Gevorkyan; V. V. Sahakyan

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arXiv · 1512.04044

Statistical properties of 1D spin glasses from first principles of classical mechanics

A. S. Gevorkyan·V. V. Sahakyan

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Abstract

We study the classical 1D Heisenberg spin glasses. Based on the Hamilton equations we obtained the system of recurrence equations which allows to perform node-by-node calculations of a spin-chain. It is shown that calculations from first principles of classical mechanics lead to NP hard problem, that however in the limit of the statistical equilibrium can be calculated by P algorithm. For the partition function of the ensemble a new representation is offered in the form of one-dimensional integral of spin-chains' energy distribution.

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A. S. Gevorkyan, V. V. Sahakyan. 2015-12-13. Statistical properties of 1D spin glasses from first principles of classical mechanics. https://arxiv.org/abs/1512.04044

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