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Indications of a possible symmetry and its breaking in a many-agent model obeying quantum statistics
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. (Matematik)ORCID iD: 0000-0002-9857-0938
2008 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 77, no 3, p. Article ID: 031126-Article in journal (Refereed) Published
Abstract [en]

The results of computer simulations are presented which give evidence for the existence of an interesting symmetry in a many-agent model which demonstrates, in special cases, both Bose-Einstein and Fermi-Dirac statistics. This symmetry is expressed in the close vicinity of the mean values of the degree of ultrametricity and the fraction of isosceles of the sets of agent memories (histories) coded by two different information-loss coding schemes. It is shown that this (in some sense) approximate statistical supersymmetry is probably broken at low temperatures—below some condensation limit. This breaking leads to the appearance of specific coding schemes for boson and fermion histories. The meaning of this specificity is revealed by applying the interpretation of the many-agent model described earlier [ A. A. Ezhov and A. Yu. Khrennikov Phys. Rev. E 71 016138 (2005)].

Place, publisher, year, edition, pages
American Institute of Physics , 2008. Vol. 77, no 3, p. Article ID: 031126-
Keyword [en]
symmetry, breaking, many-agent model, quantum statistics
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:vxu:diva-3872DOI: 10.1103/PhysRevE.77.031126OAI: oai:DiVA.org:vxu-3872DiVA, id: diva2:203829
Available from: 2009-01-03 Created: 2009-01-03 Last updated: 2017-12-13Bibliographically approved

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Khrennikov, Andrei

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  • apa
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