Object

Title: Computation of disordered system from the first principles of classical mechanics and ℕℙ hard problem

Co-author(s) :

Sahakyan Vladimir

Abstract:

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.

Publisher:

Springer

Date accepted:

18.05.2016

Date of publication:

26.05.2017

Identifier:

oai:noad.sci.am:136122

DOI:

10.1134/S106377881702017X

ISSN:

1063-7788

Language:

English

Journal or Publication Title:

Physics of Atomic Nuclei volume

Volume:

80

Number:

2

URL:


Affiliation:

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

Country:

Armenia ; Russia

Indexing:

Scopus

Object collections:

Last modified:

Apr 19, 2021

In our library since:

Apr 19, 2021

Number of object content hits:

4

All available object's versions:

https://noad.sci.am/publication/149401

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