@article{Gevorkyan_Sahakyan_2021, title={Computation Statistical Properties of Disordered Spin Systems from the First Principles of Classical Mechanics}, volume={44}, url={http://mpcs.sci.am/index.php/mpcs/article/view/179}, abstractNote={<p>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.</p>}, journal={Mathematical Problems of Computer Science}, author={Gevorkyan, Ashot S. and Sahakyan, Vahe V.}, year={2021}, month={Dec.}, pages={22–32} }