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Metastability of Ising spin chains with nearest-neighbour and next-nearest-neighbour interactions in random fields
Faculty
Science
Year:
2002
Type of Publication:
Article
Pages:
948-954
Authors:
ISMAIL, G, Hassan, S
DOI:
10.1088/1009-1963/11/9/318
Journal:
CHINESE PHYSICS CHINESE PHYSICAL SOC
Volume:
11
Research Area:
Physics
ISSN
ISI:000178490900018
Keywords :
random field, metastable states, nearest-neighbour, next-nearest-neighbour, magnetization
Abstract:
One-dimensional Ising systems in random fields (RFs) are studied taking into account the nearest-neighbour and next-nearest-neighbour interactions. We investigate two distributions of RFs: binary and Gaussian distributions. We consider four cases of the exchange couplings: ferro-ferromagnetic (F-F), ferro-antiferromagnetic (F-AF), antiferro-ferromagnetic (AF-F) and antiferro-antiferromagnetic (AF-AF). The energy minima of chains of no more than 30 spins with periodic boundary conditions are analysed exactly. We found that the average number of energy minima grows exponentially with the number of spins in both cases of RFs. The energy distributions across the corresponding energy minima are shown. The effects of RFs on both the average and density of metastable states are explained. For a weak RF, the energy distributions display a multipartitioned structure. We also discuss the frustration effect due to RFs and exchange fields. Finally, the distributions of magnetization are calculated. The absolute value of magnetization averaged over all metastable states decreases logarithmically with the number of spins.
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