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SPECTRUM OF RELAXATION-TIMES FOR ISING SPIN CLUSTERS IN RANDOM-FIELDS
Faculty
Science
Year:
1993
Type of Publication:
Article
Pages:
1467-1481
Authors:
SALEM, AA, ISMAIL, G
DOI:
10.1007/BF02451939
Journal:
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS EDITRICE COMPOSITORI BOLOGNA
Volume:
15
Research Area:
Physics
ISSN
ISI:A1993NB55800001
Keywords :
GENERAL THEORY AND MODELS OF MAGNETIC ORDERING
Abstract:
Exact results on the single-spin-flip Glauber dynamics of six-coupled random field Ising spins with the coordination number of four are presented. Two distributions of random fields (RF), binary (BD) and Gaussian (GD) ones, are investigated. The effects of the static magnetic field are discussed. In the zero-magnetic-field case, the number of diverging relaxation times is equal to the number of energy minima minus one. This rule breaks in the presence of a magnetic field. The longest relaxation times in the absence of the field verify the Arrhenius law with the energy barrier determined by the energy needed to invert the ground-state spin configuration. At low temperature, according to the Arrhenius law, the spectrum of relaxation times shows a two-peaked distribution on a logarithmic scale. In the GD case of RF, the energy barrier distribution is continuous, while it is quasi-discrete in the BD case.
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