Kinetics of a mixed Ising ferrimagnetic system
Gloria M. Buendía,E. Machado +1 more
TLDR
In this article, a mean-field approach was used to study the kinetics of a classical mixed Ising ferrimagnetic model on a square lattice, in which the two interpenetrating square sublattices have spins.Abstract:
We present a study, within a mean-field approach, of the kinetics of a classical mixed Ising ferrimagnetic model on a square lattice, in which the two interpenetrating square sublattices have spins $\ensuremath{\sigma}=\ifmmode\pm\else\textpm\fi{}1/2$ and $S=\ifmmode\pm\else\textpm\fi{}1,0.$ The kinetics is described by a Glauber-type stochastic dynamics in the presence of a time-dependent oscillating external field and a crystal field interaction. We can identify two types of solutions: a symmetric one, where the total magnetization $M$ oscillates around zero, and an antisymmetric one where $M$ oscillates around a finite value different from zero. There are regions of the phase space where both solutions coexist. The dynamical transition from one regime to the other can be of first or second order depending on the region in the phase diagram. Depending on the value of the crystal field we found up to two dynamical tricritical points where the transition changes from continuous to discontinuous. Also, we perform a similar study on the Blume-Capel $(S=\ifmmode\pm\else\textpm\fi{}1,0)$ model and find strong differences between its behavior and the one of the mixed model.read more
Citations
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Absence of first-order transition and tricritical point in the dynamic phase diagram of a spatially extended bistable system in an oscillating field.
TL;DR: Acharyya et al. as discussed by the authors used classical nucleation theory for the decay of metastable phases, together with data from large-scale dynamic Monte Carlo simulations of a two-dimensional kinetic Ising ferromagnet to show that these observations in this case are merely finite-size effects.
Journal ArticleDOI
Kinetics of a mixed spin-1/2 and spin-3/2 Ising ferrimagnetic model
TL;DR: In this paper, the Glauber-type stochastic dynamics of a mixed ferrimagnetic model with a crystal-field interaction in the presence of a time-dependent oscillating external magnetic field was studied.
Journal ArticleDOI
Dynamic magnetic properties in the kinetic mixed spin-2 and spin-5/2 Ising model under a time-dependent magnetic field
TL;DR: Jiang et al. as mentioned in this paper used the Glauber-type stochastic dynamics to study the dynamic magnetic properties of the mixed spin-2 and spin-5/2 Ising ferrimagnetic system.
Journal ArticleDOI
Dynamic Phase Transitions and Compensation Temperatures in a Mixed Spin-3/2 and Spin-5/2 Ising System
TL;DR: In this paper, the Glauber transition rates were employed to construct the mean-field dynamic equations in order to find the phases in a mixed spin-3/2 and spin-5/2 Ising system with a crystal-field interaction under a time-varying magnetic field on a hexagonal lattice.
Journal ArticleDOI
Existence of a dynamic compensation temperature of a mixed spin-2 and spin-5/2 Ising ferrimagnetic system in an oscillating field
Mustafa Keskin,Mehmet Ertaş +1 more
TL;DR: The magnetic properties of a nonequilibrium mixed spin-2 and spin-5/2 Ising ferrimagnetic system with a crystal-field interaction in the presence of a time-varying magnetic field on a hexagonal lattice are studied by using the Glauber-type stochastic dynamics.
References
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Book
Monte Carlo methods in statistical physics
Mark Newman,Gerard T. Barkema +1 more
TL;DR: This book provides an introduction to Monte Carlo simulations in classical statistical physics and is aimed both at students beginning work in the field and at more experienced researchers who wish to learn more about Monte Carlo methods.
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