We study the classical 1D Heisenberg spin glasses in the framework of nearest-neighboring model. 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 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.
oai:noad.sci.am:136122
Physics of Atomic Nuclei volume
Institute for Informatics and Automation Problems ; Institute of Chemical Physics, National Academy of Sciences of the Republic of Armenia ; Joint Institute for Nuclear Research, Dubna
Apr 19, 2021
Apr 19, 2021
14
https://noad.sci.am/publication/149401
Edition name | Date |
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Gevorkyan A. S., Computation of disordered system from the first principles of classical mechanics and ℕℙ hard problem | Apr 19, 2021 |
Gevorkyan Ashot Sahakyan V. V.
Gevorkyan Ashot
Gevorkyan Ashot Sahakyan V.V.
Gevorkyan Ashot
Gevorkyan Ashot