Multicritical dynamical phase diagrams of the kinetic Blume–Emery–Griffiths model with repulsive biquadratic coupling in an oscillating field

Temizer, Ümüt; Kantar, Ersin; Keskín, Mustafa; Canko, Osman

doi:10.1016/j.jmmm.2008.02.107

Cited by 28 publications

(14 citation statements)

References 54 publications

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“…The effect of the frequency on the phase regions was also examined, and we found by decreasing the value of the frequency, the dynamic phase diagram became simpler, but by increasing the frequency, the system become more complex and gives a richer phase diagram. We found a behavior similar to the one seen in the phase diagrams of the kinetic spin-1 BEG model with a repulsive biquadratic coupling [35] and the mixed spin-1 and spin-2 Ising system [25].…”

Section: Dynamic Phase Diagramssupporting

confidence: 75%

Dynamic phase diagrams of a mixed spin-1 and spin-5/2 Ising system in an oscillating magnetic field

Keskín

Canko²,

Batı³

2009

J. Korean Phy. Soc.

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We study the nonequilibrium aspects of the kinetics of a mixed spin-1 and spin-5/2 Ising system, including the biquadratic nearest-neighbor pair interaction (K) and the crystal-field interaction (D), under the presence of a time-dependent oscillating external magnetic field within a mean-field approach. The set of mean-field dynamic equations is obtained by employing the Glauber transition rates. We investigate the time variations of the average order parameters to find the phases in the system. We also study the thermal behavior of the dynamic order parameters to characterize the nature (continuous or discontinuous) of the phase transitions and to obtain the dynamic phase transition (DPT) points. The dynamic phase diagrams are presented in three different planes. The phase diagrams are discussed, and a comparison is made with the results of other kinetic mixed spin Ising systems.

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Section: Dynamic Phase Diagramssupporting

confidence: 75%

Dynamic phase diagrams of a mixed spin-1 and spin-5/2 Ising system in an oscillating magnetic field

Keskín

Canko²,

Batı³

2009

J. Korean Phy. Soc.

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“…The multiple (surface and bulk) dynamic transition has been observed [16] in the classical Heisenberg model. The dynamic transition has also been observed in the kinetic spin-3/2 Blume-Capel model [17] and in the Blume-Emery-Griffith model [18]. To study the dynamical phase transition in mixed spin systems also took much attention in modern research [19,20,21,22,23].…”

Section: Introductionmentioning

confidence: 99%

Standing magnetic wave on Ising ferromagnet: Nonequilibrium phase transition

Halder¹,

Acharyya²

2016

Journal of Magnetism and Magnetic Materials

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The dynamical response of an Ising ferromagnet to a plane polarised standing magnetic field wave is modelled and studied here by Monte Carlo simulation in two dimensions. The amplitude of standing magnetic wave is modulated along the direction x. We have detected two main dynamical phases namely, pinned and oscillating spin clusters. Depending on the value of field amplitude the system is found to undergo a phase transition from oscillating spin cluster to pinned as the system is cooled down. The time averaged magnetisation over a full cycle of magnetic field oscillations is defined as the dynamic order parameter. The transition is detected by studying the temperature dependences of the variance of the dynamic order parameter, the derivative of the dynamic order parameter and the dynamic specific heat. The dependence of the transition temperature on the magnetic field amplitude and on the wavelength of the magnetic field wave is studied at a single frequency. A comprehensive phase boundary is drawn in the plane described by the temperature and field amplitude for two different wavelengths of the magnetic wave. The variation of instantaneous line magnetisation during a period of magnetic field oscillation for standing wave mode is compared to those for the propagating wave mode. Also the probability that a spin at any site, flips, is calculated. The above mentioned variations and the probability of spin flip clearly distinguish between the dynamical phases formed by propagating magnetic wave and by standing magnetic wave in an Ising ferromagnet.

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“…In 2014, 805 million of global population were reported to be suffering from hunger and malnutrition (BMEL, 2015) with the quarter of this population from Africa (AGRIDAPE, 2016). In Cameroon, agriculture is the lifeblood of people, with about 70% of the labor force employed in this sector (DSCN, 2002;Molua, 2008). It represents an important factor for Cameroonian economy (Binam et al, 2004) and is amongst the main occupation of more than 70% of Cameroonian (Abia et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Morphological Characterization of Four Leguminous Crops Cultivated in Two Agro Ecological Zone: Western and Guinean Savannah Highlands of Cameroon

Blondelle

Clautilde

Solange

et al. 2019

ESJ

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In 2014, quarter (¼) of Africa populations were estimated to be suffering from hunger. In Cameroon, the demand for food is increasing while productivity was decreasing subsequently the food insufficiency. To solve this problem, leguminous crops were valorized in Cameroon. They represent a major source of protein especially among the poorest population, and are rich in essential amino acids such as lysine, supplementing thus the nutritional value of cereal and tuber diets. Nevertheless, their production faced the problem of soil degradation and loss of soil fertility. The main objective of this work was to characterize leguminous crops cultivated in two agro ecological zones of Cameroon. Investigations based on farmer's knowledge on leguminous crops cultivation were done in Western highlands and High Guinean savannah zones of Cameroon. During this survey, leguminous crops were collected for qualitative and quantitative analysis. Farmers which were mostly women have at least 10 years of experience on these leguminous crops 390 cultivation. They kept their seed for next cultivation season and did not use fertilizers in their field. Based on color of seeds, nine, seven, six and four ecotypes of representing beans, peanuts, Bambara groundnuts and soybeans respectively were found from study sites. Quantitative analysis of these ecotypes presents the diversity of beans, peanuts and soybeans (p = 0.00) according to their biometric parameters. Except the weight of Bambara groundnuts which were different (p = 0.00) their size was similar among ecotypes.

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Multicritical dynamical phase diagrams of the kinetic Blume–Emery–Griffiths model with repulsive biquadratic coupling in an oscillating field

Cited by 28 publications

References 54 publications

Dynamic phase diagrams of a mixed spin-1 and spin-5/2 Ising system in an oscillating magnetic field

Dynamic phase diagrams of a mixed spin-1 and spin-5/2 Ising system in an oscillating magnetic field

Standing magnetic wave on Ising ferromagnet: Nonequilibrium phase transition

Morphological Characterization of Four Leguminous Crops Cultivated in Two Agro Ecological Zone: Western and Guinean Savannah Highlands of Cameroon

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