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Glassy phase and thermodynamics for random field Ising model on spherical lattice in magnetic field
Faculty
Science
Year:
2010
Type of Publication:
Article
Pages:
Authors:
Hassan, Wafaa, Bannora, Khalid, Ismail, Galal
DOI:
10.1088/1674-1056/19/10/107501
Journal:
CHINESE PHYSICS B IOP PUBLISHING LTD
Volume:
19
Research Area:
Physics
ISSN
ISI:000282923600083
Keywords :
random field, mean field theory, magnetization, specific heat and phase diagram
Abstract:
Phase diagram and thermodynamic parameters of the random field Ising model (RFIM) on spherical lattice are studied by using mean field theory. This lattice is placed in an external magnetic field (B). The random field (h(i)) is assumed to be Gaussian distributed with zero mean and a variance < h(i)(2)> = H(RF)(2). The free energy (F), the magnetization (M) and the order parameter (q) are calculated. The ferromagnetic (FM) spin-glass (SG) phase transition is clearly observed. The critical temperature (T(C)) is computed under a critical intensity of random field H(RF) = root 2/pi J. The phase transition from FM to paramagnetic (PM) occurs at T(C) = J/k in the absence of magnetic field. The critical temperature decreases as H(RF) increases in the phase boundary of FM-to-SG. The magnetic susceptibility (chi) shows a sharp cusp at T(C) and the specific heat (C) has a singularity in small random field. The internal energy (U) has a similar behaviour to that obtained from the Monte Carlo simulation.
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