Object

Title: New algorithm for simulation of 3D classical spin glasses under the influence of external electromagnetic fields

Author:

Ayryan Eduard

Type:

Article

Co-author(s) :

Gevorkyan Ashot ; Sahakyan Vladimir

Abstract:

We study statistical properties of 3D classical spin-glass under the influence of external fields. It is proved that in the framework of the nearest-neighboring model 3D spin-glass problem at performing of Birkhoff’s ergodic hypothesis regarding to orientations of spins in the 3D space can be reduced to the problem of disordered 1D spatial spin-chains (SSC) ensemble where each spin-chain interacts with a random environment. The 1D SSC is defined as a periodic 1D lattice, where spins in nodes are randomly oriented in 3D space, in addition they all interact with each other randomly. For minimization of the Hamiltonian in an arbitrary node of the 1D lattice lattice, we obtained recurrent equations and corresponding Sylvester criterion, which allow to find energy local minimum. On the bases of these equations the high-performance parallel algorithm is developed which allows to calculate all statistical parameters of 3D spin glass, including distribution of a constant of spin-spin interaction, from the first principles of the classical mechanics.

Publisher:

Springer

Date of publication:

15.05.2015

Identifier:

oai:noad.sci.am:136118

DOI:

10.1134/S154747711503005X

ISSN:

1547-4771

Language:

English

Journal or Publication Title:

Physics of Particles and Nuclei Letters

Volume:

12

Number:

3

URL:


Affiliation:

Joint Institute of Nuclear Research ; Institute for Informatics and Automation Problems ; Institute of Chemical Physics

Country:

Armenia ; Russia

Indexing:

Scopus

Object collections:

Last modified:

Apr 19, 2021

In our library since:

Apr 19, 2021

Number of object content hits:

7

All available object's versions:

https://noad.sci.am/publication/149398

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