Nature of order from random two-body interactions

S. Drożdż and M. Wójcik

Physica A: Statistical Mechanics and its Applications, 2001, vol. 301, issue 1, 291-300

Abstract: We investigate the origin of order in the low-lying spectra of many-body systems with random two-body interactions. Our study based both on analytical as well as on numerical arguments shows that except for the most J-stretched states, the ground states in the higher J-sectors are more orderly and develop larger energy gaps than the ones in the J=0-sector. Due to different characteristic energy scales in different J-sectors the J=0 ground states may predominate only when all the states are taken together.

Keywords: Complex systems; Random matrix theory; Order versus chaos (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:301:y:2001:i:1:p:291-300

DOI: 10.1016/S0378-4371(01)00403-4

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