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Nonconverging hysteresis cycles in random spin networks

Nonconverging hysteresis cycles in random spin networks
Nonconverging hysteresis cycles in random spin networks
Behavior of hysteretic trajectories for cyclical input is investigated as a function of the internal structure of a system modeled by the classical random network of binary spins. Different regimes of hysteretic behavior are discovered for different network connectivity and topology. Surprisingly, hysteretic trajectories which do not converge at all are observed. They are shown to be associated with the presence of specific topological elements in the network structure, particularly with the fully interconnected spin groups of size equal to or greater than 4.
[4pp.]
Hovorka, O.
a12bd550-ad45-4963-aa26-dd81dd1609ee
Friedman, G.
db2affbf-29bf-4a43-8e55-01b388d54c23
Hovorka, O.
a12bd550-ad45-4963-aa26-dd81dd1609ee
Friedman, G.
db2affbf-29bf-4a43-8e55-01b388d54c23

Hovorka, O. and Friedman, G. (2008) Nonconverging hysteresis cycles in random spin networks. Physical Review Letters, 100 (9), [4pp.]. (doi:10.1103/PhysRevLett.100.097201).

Record type: Article

Abstract

Behavior of hysteretic trajectories for cyclical input is investigated as a function of the internal structure of a system modeled by the classical random network of binary spins. Different regimes of hysteretic behavior are discovered for different network connectivity and topology. Surprisingly, hysteretic trajectories which do not converge at all are observed. They are shown to be associated with the presence of specific topological elements in the network structure, particularly with the fully interconnected spin groups of size equal to or greater than 4.

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Published date: 4 March 2008
Organisations: Computational Engineering & Design Group

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Local EPrints ID: 351916
URI: http://eprints.soton.ac.uk/id/eprint/351916
PURE UUID: 23607515-4a83-42eb-a197-893861825277
ORCID for O. Hovorka: ORCID iD orcid.org/0000-0002-6707-4325

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Date deposited: 30 Apr 2013 13:56
Last modified: 15 Mar 2024 03:47

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Contributors

Author: O. Hovorka ORCID iD
Author: G. Friedman

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