Computation Statistical Properties of Disordered Spin Systems from the First Principles of Classical Mechanics

Authors

  • Ashot S. Gevorkyan Institute for Informatics and Automation Problems of NAS RA ; Institute of Chemical Physics of NAS of RA
  • Vahe V. Sahakyan Institute for Informatics and Automation Problems of NAS RA

Keywords:

Disordered system, Heisenberg spin glass, Ergodic ensemble, NP hard problem, , P algorithm

Abstract

We study the classical 1D spin glasses in the framework of Heisenberg model. Based on the Hamilton equations we obtained the system of recurrence equations, which allows performing node-by-node calculations of a spin-chain. It is shown that the calculations from the 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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Published

2021-12-10

How to Cite

Gevorkyan, A. S. ., & Sahakyan, V. V. . (2021). Computation Statistical Properties of Disordered Spin Systems from the First Principles of Classical Mechanics. Mathematical Problems of Computer Science, 44, 22–32. Retrieved from http://mpcs.sci.am/index.php/mpcs/article/view/179

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