Spin-1 lattice-gas model. I. Condensation and solidification of a simple fluid

Lajzérowicz, J.; Sivardière, Jean

doi:10.1103/physreva.11.2079

Cited by 238 publications

(81 citation statements)

References 25 publications

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“…The spin-1 Ising model in the presence of crystal-field (D) which called as Blume-Capel (BC) model is one of the most actively studied higher spin Ising models in statistical physics due to the both theoretical importance and its application to different systems [1][2][3][4][5][6][7][8][9]. BC model has been studied with many different techniques, such as mean field approximation (MFA) [10], effective field theory (EFT) [11][12][13], Bethe approximation [14], Monte Carlo simulation (MCs) [15], renormalization group theory [16] and the cluster variational approximation [17,18], and it was found that it exhibits very interesting and rich critical phenomena.…”

Section: Introductionmentioning

confidence: 99%

Hysteresis and compensation behaviors of spin-3/2 cylindrical Ising nanotube system

Kocakaplan

Keskín

2014

Journal of Applied Physics

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An effective-field theory with correlations has been used to study the hysteresis, susceptibility and compensation behaviors of the spin-1 hexagonal Ising nanowire (HIN) with core-shell structure. The effects of the temperature, crystal field, core-shell interfacial coupling and shell surface coupling are investigated on hysteresis and compensation behaviors, in detail. When the core-shell interfacial coupling is weak, the double and triple hysteresis loops can be seen in the system. The hysteresis loops have different coercive field points that the susceptibility make peak at these points. Moreover, we observed that the system displays the Q-, R-, S-, P-, N-and W-types of compensation behaviors according to Neél classification nomenclature.Finally, the obtaining results are compared with some experimental and theoretical results and found a good agreement.

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Section: Introductionmentioning

confidence: 99%

Hysteresis and compensation behaviors of spin-3/2 cylindrical Ising nanotube system

Kocakaplan

Keskín

2014

Journal of Applied Physics

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“…The coupling constants have both electric and elastic origin and it is believed that the elastic contribution is quite significant, since in particular the dipolar energy in the ordered phase is weak [13]. This model resembles the spin-1 lattice-gas model, introduced by Blume-Emery-Griffiths for 3He-4H e mixtures [27] and discussed by Lajzerowicz and Sivardiére for the condensation and solidification of a simple fluid [28]. The concentration c = ((S2 )2) of the I "compounds" serves as an order parameter for the condensation phase transition, analogous to the density for the gas-liquid transition.…”

Section: Cooperativity and Ct Excitationsmentioning

confidence: 99%

Physics of Neutral-to-Ionic Phase Transition in Organic Charge Transfer Semiconducting Compounds

Cailleau¹,

Lemée-Cailleau²,

Cointe³

et al. 1997

Acta Phys. Pol. A

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An uncommon excitonic instability takes place in some exotic semiconducting compounds. Indeed, the equilibrium neutral-to-ionic (N-I) phase transition, as well as the non-equilibrium photo-induced phase transformation, observed in some organic charge-transfer complexes, originate from intra-and inter-chain cooperative effects between structurally relaxed charge--transfer excitations. This electronic-structural phase transition manifests itself by a change of the degree of charge-transfer and a dimerization distortion with the formation of donor-acceptor pairs along the stacking axis in the I phase. Thermal charge-transfer excitations associated with the formation of I strings along N chains are at the heart of the mechanism of this phase transition. These relaxed electronic excitations, which are an intrinsic feature of low-dimensional systems with strong electron-phonon coupling, can be described in terms of self-trapping and self-multiplication of charge-transfer excitons. Precise structural studies on the prototype compound, tetrathiafulvalene-p-chloranil allow to highlight the respective pole taken by the ionicity and the dimerization. Symmetry and thermodynamics analysis of the N-I transition, based on recent determination of the pressure-temperature phase diagram, make possible to present a consistent picture of this phase transition. Supported by theoretical considerations taking into account the interplay between quantum and thermal effects, the experimental observations show that the N-I transition results from the condensation and the ordering (crystallization) of charge-transfer excitations, following a phase diagram analogous to the solid-liquid-gas one.

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“…It has been analyzed using mean-field approximation (MFA) [2][3][4][5][6], renormalization techniques [7,8], cluster variation method (CVM) [9][10][11][12][13], effective field theory [14,15], Monte Carlo renormalization method (MCRG) [16], Monte Carlo simulations [17][18][19][20] and cellular automaton simulations [21][22][23]. The BEG model is described by the Hamiltonian…”

Section: Introductionmentioning

confidence: 99%

“…The Blume-Emery-Griffiths(BEG) model [1,2] has attracted a great deal of attention since it was originally proposed to describe the phase separation and superfluid ordering He 3 -He 4 mixtures. Subsequently, the model was applied to study the thermodynamic behaviors of certain physical systems such as the multi-component fluids, microemulsions, semiconductor alloys, etc.…”

Section: Introductionmentioning

confidence: 99%

The ferrimagnetic phase of the Blume-Emery-Griffiths model on the cellular automaton

Seferoğlu

Kutlu

2008

Open Physics

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Abstract:The Blume-Emery-Griffiths model is simulated using the cooling algorithm which is improved from the Creutz cellular automaton(CCA) under periodic boundary conditions. The simulations are carried out on a simple cubic lattice at K /J = −1 5 in the range of −3 5 < D/J < 0 5, with J and K representing the nearestneighbour bilinear and biquadratic interactions, D being the single-ion anisotropy parameter. The phase diagram characterizing phase transition of the model is obtained. We found different kinds of phase transitions between the ferromagnetic, quadrupolar, staggered quadrupolar and ferrimagnetic phases for K /J = −1 5. In particular, the region of the phase diagram containing a ferrimagnetic phase is explored and compared to those obtained by other methods. The simulations confirm that the ferrimagnetic phase occurs in the narrow interval −3 006 ≤ D/J < −3 This result is in a good agreement with Monte Carlo renormalization group and closer to the cluster variation method result than the mean field approximation result.

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Spin-1 lattice-gas model. I. Condensation and solidification of a simple fluid

Cited by 238 publications

References 25 publications

Hysteresis and compensation behaviors of spin-3/2 cylindrical Ising nanotube system

Hysteresis and compensation behaviors of spin-3/2 cylindrical Ising nanotube system

Physics of Neutral-to-Ionic Phase Transition in Organic Charge Transfer Semiconducting Compounds

The ferrimagnetic phase of the Blume-Emery-Griffiths model on the cellular automaton

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