97 research outputs found
Dynamic dipole and quadrupole phase transitions in the kinetic spin-1 model
The dynamic phase transitions have been studied, within a mean-field
approach, in the kinetic spin-1 Ising model Hamiltonian with arbitrary bilinear
and biquadratic pair interactions in the presence of a time varying
(sinusoidal) magnetic field by using the Glauber-type stochastic dynamics. The
nature (first- or second-order) of the transition is characterized by
investigating the behavior of the thermal variation of the dynamic order
parameters. The dynamic phase transitions (DPTs) are obtained and the phase
diagrams are constructed in the temperature and magnetic field amplitude plane
and found six fundamental types of phase diagrams. Phase diagrams exhibit one
or two dynamic tricritical points depending on the biquadratic interaction (K).
Besides the disordered (D) and ferromagnetic (F) phases, the FQ + D, F + FQ and
F + D coexistence phase regions also exist in the system and the F and F + D
phases disappear for high values of K.Comment: 13 pages, 4 figure
Kinetics of a mixed spin-1/2 and spin-3/2 Ising ferrimagnetic model
We present a study, within a mean-field approach, of the kinetics of a mixed
ferrimagnetic model on a square lattice in which two interpenetrating square
sublattices have spins that can take two values, , alternated
with spins that can take the four values, . We use the
Glauber-type stochastic dynamics to describe the time evolution of the system
with a crystal-field interaction in the presence of a time-dependent
oscillating external magnetic field. The nature (continuous and discontinuous)
of transition is characterized by studying the thermal behaviors of average
order parameters in a period. The dynamic phase transition points are obtained
and the phase diagrams are presented in the reduced magnetic field amplitude
and reduced temperature plane, and in the reduced temperature and
interaction parameter planes, namely in the and planes,
is the reduced crystal-field interaction. The phase diagrams always exhibit a
tricritical point in plane, but do not exhibit in the plane
for low values of . The dynamic multicritical point or dynamic critical end
point exist in the plane for low values of . Moreover, phase
diagrams contain paramagnetic , ferromagnetic , ferrimagnetic
phases, two coexistence or mixed phase regions, and , that
strongly depend on interaction parameters.Comment: 13 pages, 6 figures, submitted to Journal of Magnetism and Magnetic
Material
Theory of Relaxation Phenomena in a Spin-3/2 Ising System Near The Phase Transition Point
The ground-state phase diagrams of the spin-3/2 Ising model
The ground-state spin configurations are obtained for the spin-3/2 Ising model Hamiltonian with bilinear and biquadratic exchange interactions and a single-ion crystal field. The interactions are assumed to be only between nearest-neighbors. The calculated ground-state phase diagrams are presented on diatomic lattices, such as the square, honeycomb and sc lattices, and triangular lattice in the (Delta/z\J\, K/\J\) and (H/z\J\, K/\J\) planes. (C) 2003 Published by Elsevier B.V
Time dependence of the weakly coupled spin-1 Ising system using the Glauber model
We study the time dependence of the one-dimensional weakly coupled spin-l Ising system by means of the modified version of Glauber's one-dimensional spin relaxation model and the system of dynamic equations for the one- and two-points functions is derived. We solve the dynamic equations analytically and find the exact solutions for the relaxation times in the weak coupling limit. We also make a comparison with the relaxation times which were found by a first-order perturbation method. (C) 2002 Elsevier Science B.V. All rights reserved
Relaxation theory of spin-3/2 Ising system near phase transition temperatures
Dynamics of a spin-3/2 Ising system Hamiltonian with bilinear and biquadratic nearest-neighbour exchange interactions is studied by a simple method in which the statistical equilibrium theory is combined with the Onsager's theory of irreversible thermodynamics. First, the equilibrium behaviour of the model in the molecular-field approximation is given briefly in order to obtain the phase transition temperatures, i.e. the first- and second-order and the tricritical points. Then, the Onsager theory is applied to the model and the kinetic or rate equations are obtained. By solving these equations three relaxation times are calculated and their behaviours are examined for temperatures near the phase transition points. Moreover, the z dynamic critical exponent is calculated and compared with the z values obtained for different systems experimentally and theoretically, and they are found to be in good agrement
Phase transitions of a Solvable Spin-3/2 System with Bilinear and Biquadratic Interactions
Theory of Relaxation Phenomena in a Spin-3/2 Ising System near the Second-Order Phase Transition Temperature
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