Thermodynamical properties of the random field Ising model

Borges, Henrique E.; Silva, P.R.

doi:10.1016/0378-4371(87)90208-1

Cited by 26 publications

(18 citation statements)

References 27 publications

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“…[40,43] a similar model has been studied within MFT and EFT, respectively where the authors did not consider any oscillating external magnetic field. Main conclusion of those studies was that the dynamic second order phase transition lines in (k B T c /J − H 0 /J) plane coincide with the equilibrium counterparts [15,17,18] whereas the maximum and minimum differences between the dynamic and equilibrium first order phase transition lines were observed at the zero temperature and at the tricritical point, respectively. However, as seen in Fig.…”

Section: B Non-equilibrium Phase Diagrams Of Rfim For a Bimodal Distmentioning

confidence: 97%

“…Apart from this, they have predicted a nonequilibrium tricritical point in a phase diagram in the temperature versus applied field amplitude plane. They have also compared the results with the equilibrium phase diagram [17,18], where only the first-order line is different. In the theoretical works mentioned above, the random field effects have been taken into account either by a given probability distribution function (random in space) namely a bimodal distribution, or by generating a new configuration of random fields uniformly at each time step (random in time).…”

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confidence: 99%

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Nonequilibrium phase transitions and stationary-state solutions of a three-dimensional random-field Ising model under a time-dependent periodic external field

et al. 2012

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Nonequilibrium behavior and dynamic phase-transition properties of a kinetic Ising model under the influence of periodically oscillating random fields have been analyzed within the framework of effective-field theory based on a decoupling approximation. A dynamic equation of motion has been solved for a simple-cubic lattice (q=6) by utilizing a Glauber-type stochastic process. Amplitude of the sinusoidally oscillating magnetic field is randomly distributed on the lattice sites according to bimodal and trimodal distribution functions. For a bimodal type of amplitude distribution, it is found in the high-frequency regime that the dynamic phase diagrams of the system in the temperature versus field amplitude plane resemble the corresponding phase diagrams of the pure kinetic Ising model. Our numerical results indicate that for a bimodal distribution, both in the low- and high-frequency regimes, the dynamic phase diagrams always exhibit a coexistence region in which the stationary state (ferro or para) of the system is completely dependent on the initial conditions, whereas for a trimodal distribution, the coexistence region disappears depending on the values of the system parameters.

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Section: B Non-equilibrium Phase Diagrams Of Rfim For a Bimodal Distmentioning

confidence: 97%

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confidence: 99%

Nonequilibrium phase transitions and stationary-state solutions of a three-dimensional random-field Ising model under a time-dependent periodic external field

et al. 2012

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“…On the other hand, Aharony [46] and Mattis [47] have introduced bimodal and trimodal distributions, respectively, and they have reported the observation of tricritical behavior. With the same distributions and using EFT with correlations, Borges and Silva [48][49][50] showed that three dimensional lattices show tricritical behavior while two dimensional lattices do not show this behavior. On the other hand, with using two site EFT instead of one site EFT, tricritical behavior can be seen in square lattice [51].…”

Section: Introductionmentioning

confidence: 92%

Effects of the randomly distributed magnetic field on the phase diagrams of Ising nanowire I: Discrete distributions

Akıncı

2012

Journal of Magnetism and Magnetic Materials

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a b s t r a c tThe effect of the random magnetic field distribution on the phase diagrams and ground state magnetizations of Ising nanowire is investigated using effective field theory with correlations. Trimodal distribution has been chosen as a random magnetic field distribution. The variation of the phase diagrams with that distribution parameters has been obtained and some interesting results have been found such as reentrant behavior and first order transitions. Also for the trimodal distribution, ground state magnetizations for different distribution parameters have been determined which can be regarded as separate partially ordered phases of the system.

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“…On the other hand, Aharony [45] and Mattis [46] have introduced bimodal and trimodal distributions, respectively, and they have reported the observation of tricritical behavior. With the same distributions and using EFT with correlations, Borges and Silva [47][48][49] showed that three dimensional lattices show tricritical behavior while two dimensional lattices do not exhibit this behavior. On the other hand, by using two site EFT instead of one site EFT, tricritical behavior can be observed on a square lattice [50].…”

Section: Introductionmentioning

confidence: 93%

Effects of the randomly distributed magnetic field on the phase diagrams of the Ising Nanowire II: Continuous distributions

Akıncı

2012

Journal of Magnetism and Magnetic Materials

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a b s t r a c tThe effect of the random magnetic field distribution on the phase diagrams and ground state magnetizations of the Ising nanowire has been investigated with effective field theory with correlations. Gaussian distribution has been chosen as a random magnetic field distribution. The variation of the phase diagrams with that distribution parameters has been obtained and some interesting results have been found such as disappearance of the reentrant behavior and first order transitions which appear in the case of discrete distributions. Also for single and double Gaussian distributions, ground state magnetizations for different distribution parameters have been determined which can be regarded as separate partially ordered phases of the system.

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Thermodynamical properties of the random field Ising model

Cited by 26 publications

References 27 publications

Nonequilibrium phase transitions and stationary-state solutions of a three-dimensional random-field Ising model under a time-dependent periodic external field

Nonequilibrium phase transitions and stationary-state solutions of a three-dimensional random-field Ising model under a time-dependent periodic external field

Effects of the randomly distributed magnetic field on the phase diagrams of Ising nanowire I: Discrete distributions

Effects of the randomly distributed magnetic field on the phase diagrams of the Ising Nanowire II: Continuous distributions

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