Article
Physics, Multidisciplinary
R. Erichsen, Alexandre Silveira, S. G. Magalhaes
Summary: This study investigates the Blume-Emery-Griffiths model with a random crystal field in a random graph architecture, where the average connectivity is a controllable parameter. The disordered average over graph realizations is treated using replica symmetry formalism. A self consistent equation for the distribution of local fields is derived and numerically solved. The results demonstrate that changes in the average connectivity impact the topology of the phase diagrams, which are compared with those obtained from fully connected mean field and renormalization group approaches.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2023)
Article
Physics, Fluids & Plasmas
Ji-Xuan Hou
Summary: In this study, we focused on the simplified Blume-Emery-Griffiths model without bilinear exchange coupling in both the microcanonical and the canonical ensemble. The model displayed a zeroth-order phase transition and finite entropy jump in the microcanonical ensemble, while this singularity in entropy was not observed in the canonical ensemble, illustrating ensemble inequivalence. The global phase diagram of the model was also provided in both ensembles.
Article
Physics, Applied
Songul Ozum, Riza Erdem, Orhan Yalcin, Omer Gorguluer
Summary: In this study, the hysteresis properties of magnetization and quadrupolar moment for the spin-1 Blume-Emery-Griffiths model were investigated using pair approximation, with a focus on the effects of lattice coordination number, biquadratic interaction, and single-ion anisotropy. The results showed novel properties in the (m,h) loops when d < 0, and hysteresis cycles were observed in various planes. These properties strongly depend on the biquadratic interaction k, and the findings are consistent with other theoretical studies.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2021)
Article
Physics, Multidisciplinary
Nigar Alata, Riza Erdem, Guel Guelpinar
Summary: In this study, we investigated the geometric properties of multicritical phase diagrams for the spin-1 Blume-Emery-Griffiths model with crystal field using thermodynamic geometry in the Ruppeiner formalism. By calculating the thermodynamic curvature or Ricci scalar (R), we analyzed the temperature and crystal field behaviors near interesting critical and multicritical points. Our results are presented as geometric phase diagrams, which include critical and multicritical topology, along with the observation of new vanishing curvature lines (R=0) extending into the ferromagnetic or paramagnetic phases beyond the critical points and zero point temperature.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Physics, Multidisciplinary
Sheng Zhang, Ji-Xuan Hou
Summary: The mean-field Blume-Emery-Griffiths model is studied in both the microcanonical and canonical ensembles. In the microcanonical ensemble, a zeroth-order phase transition occurs when J <= 0 and 0.5 <= Delta <= 0.12, resulting in an entropy jump at the phase transition point. Conversely, there are no zeroth-order phase transitions when... > 0. Four different microcanonical (Delta, T) phase diagrams and their respective parameter ranges are shown. Six different canonical (Delta, T) phase diagrams and their corresponding parameter boundaries are also presented. Additionally, it is demonstrated that (Delta, T) phase diagrams are identical for any J <= 0 in either the microcanonical or canonical ensemble.
CHINESE JOURNAL OF PHYSICS
(2023)
Article
Physics, Condensed Matter
Y. Al Qahoom, R. Aharrouch, K. El Kihel, H. Saadi, M. Madani, M. El Bouziani
Summary: In this study, the mean-field approximation based on the Bogoliubov inequality is used to investigate the ferrimagnetic mixed spin-1 and spin-5/2 Blume-Emery-Griffiths (BEG) model on a hypercube lattice. The phase diagrams and the temperature dependencies of magnetization are analyzed to understand the effects of crystal field and exchange interactions. The results show various phase transitions and compensation temperatures, indicating the complexity of the system's magnetic properties.
EUROPEAN PHYSICAL JOURNAL B
(2023)
Article
Physics, Multidisciplinary
G. B. Aziza Goguin, T. D. Oke, R. A. A. Yessoufou, E. Albayrak
Summary: The magnetic properties and hysteresis loops of a hexagonal Ising nanowire with a core-shell structure are studied using the Blume-Emery-Griffiths model and mean-field approximation. The effects of different interaction parameters between the core and shell spins are considered, resulting in phase diagrams with first- and second-order phase transitions and tricritical points. The model also exhibits multiple hysteresis loops behaviors and compensation temperatures depending on the model parameters.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2023)
Article
Physics, Fluids & Plasmas
L. M. Luque, S. A. Grigera, E. Albano
Summary: Studying the wetting critical behavior of the three-state Blume-Emery-Griffiths model reveals the significant role of vacancies in interfacial behavior, with the temperature dependence rationalized through a finite-size scaling description.
Article
Physics, Multidisciplinary
Matteo Magoni, Paolo P. Mazza, Igor Lesanovsky
Summary: The study reveals that even weak interactions beyond nearest neighbors can have a significant impact on the relaxation behavior of spin clusters, leading to the onset of Bloch oscillations. These oscillations hinder cluster expansion and affect the relaxation of many-body states towards equilibrium.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Mathematical
Paulo C. Lima, Riccardo Mariani, Aldo Procacci, Benedetto Scoppola
Summary: In this article, the Blume-Emery-Griffiths (BEG) model is analyzed in different states, and its properties and behaviors are studied. In the analysis of the ferromagnetic-antiquadrupolar-disordered (FAD) point, a Gibbs sampler of the ground states at zero temperature is introduced for empirical evaluation of the spontaneous magnetization. The results show different values in different dimensions. Moreover, a coupling with the Bernoulli site percolation model is used to prove the vanishing of magnetization in the center of a square box under certain boundary conditions in the thermodynamical limit, and exponential decay of two-point correlations. In the analysis of the antiquadrupolar-disordered (AD) line, a condition for the vanishing of the infinite-volume limit magnetization is obtained by comparing the BEG model with a Bernoulli site percolation, improving previous results obtained via expansion techniques.
JOURNAL OF STATISTICAL PHYSICS
(2023)
Article
Physics, Multidisciplinary
M. Bourass, A. Zradba, A. Al-Rajhi, N. Hachem, R. Aharrouch, M. Madani, M. El Bouziani
Summary: Using Monte Carlo simulation, the phase diagrams and magnetic properties of a mixed spin-1 and spin-3/2 Blume-Emery-Griffiths model on a simple cubic lattice were investigated. The thermal variations of the magnetizations of the Blume-Capel model and its phase diagram were plotted, showing second-order phase transitions and compensation temperatures. The effect of introducing a biquadratic coupling on the previously observed critical and compensation behaviors in the Blume-Capel model was studied.
ACTA PHYSICA POLONICA A
(2022)
Article
Materials Science, Multidisciplinary
T. Balcerzak
Summary: The paper investigates the Blume-Emery-Griffiths model for a magnetic bilayer with coordination number z = 5. The Cluster Variational Method in Pair Approximation is used, with a special emphasis on the magnetic and magnetocaloric properties in the cases of 1st order phase transitions.
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS
(2022)
Article
Mechanics
Soheli Mukherjee, Raj Kumar Sadhu, Sumedha
Summary: This study used the repulsive Blume-Emery-Griffiths model to calculate the phase diagram in three field spaces, and investigated the properties of critical points and multicritical points under different interaction strengths. The results showed that the phase diagram and critical points exhibit different behaviors under different conditions.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Physics, Multidisciplinary
Pedro R. R. Piccini, Lucas Nicolao, M. H. R. Tragtenberg
Summary: We extensively examine the behavior of a spin-1 model with competing interactions on a Bethe lattice. By analytically solving the model and numerically iterating the recursion relations, we obtain phase diagrams displaying multiple multiphase points and commensurate modulated phases at both finite and zero temperature. Various ordered phases arranged in complex structures are observed in the ground state, with special attention given to the effects of biquadratic interactions and crystalline field. The behavior of the external field shows differences between the 0 ordered phase and the paramagnetic phase.
BRAZILIAN JOURNAL OF PHYSICS
(2023)
Article
Physics, Applied
Z. Fadil, N. Saber, H. Eraki, A. Mhirech, B. Kabouchi, L. Bahmad
Summary: A Monte Carlo study on the ground state phase diagrams and hysteresis electric cycles of the Blume-Emery-Griffiths (BEG) model with mixed spins (S-1, sigma-3/2) under the Metropolis algorithm was performed. The study established the ground state phase diagram and investigated the effects of temperature, exchange coupling interactions, crystal field, and biquadratic parameters on the hysteresis electric cycles. It was found that the increase in crystal field and biquadratic exchange parameters decreased the surface of the loops, leading to the appearance of polarization plateaus.
JOURNAL OF LOW TEMPERATURE PHYSICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Henri Berestycki, Jean-Pierre Nadal, Nancy Rodiguez
NETWORKS AND HETEROGENEOUS MEDIA
(2015)
Article
Multidisciplinary Sciences
Q. Feltgen, B. Fagard, J. -P. Nadal
ROYAL SOCIETY OPEN SCIENCE
(2017)
Article
Neurosciences
Laurent Bonnasse-Gahot, Jean-Pierre Nadal
Article
Physics, Multidisciplinary
R. Conte, N. Gilbert, G. Bonelli, C. Cioffi-Revilla, G. Deffuant, J. Kertesz, V. Loreto, S. Moat, J. -P. Nadal, A. Sanchez, A. Nowak, A. Flache, M. San Miguel, D. Helbing
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
(2012)
Article
Physics, Mathematical
Mirta B. Gordon, Jean-Pierre Nadal, Denis Phan, Viktoriya Semeshenko
JOURNAL OF STATISTICAL PHYSICS
(2013)
Article
Multidisciplinary Sciences
Christian Borghesi, Jean Chiche, Jean-Pierre Nadal
Article
Multidisciplinary Sciences
Laurent Bonnasse-Gahot, Henri Berestycki, Marie-Aude Depuiset, Mirta B. Gordon, Sebastian Roche, Nancy Rodriguez, Jean-Pierre Nadal
SCIENTIFIC REPORTS
(2018)
Article
Biochemical Research Methods
Claudia Clopath, Jean-Pierre Nadal, Nicolas Brunel
PLOS COMPUTATIONAL BIOLOGY
(2012)
Article
Neurosciences
Kevin Berlemont, Jean-Pierre Nadal
JOURNAL OF NEUROSCIENCE
(2019)
Article
Biology
Guy Bouvierm, Johnatan Aljadeff, Claudia Clopath, Celian Bimbard, Jonas Ranft, Antonin Blot, Jean-Pierre Nadel, Nicolas Brunel, Vincent Hakim, Boris Barbour
Article
Multidisciplinary Sciences
Kevin Berlemont, Jean-Remy Martin, Jerome Sackur, Jean-Pierre Nadal
SCIENTIFIC REPORTS
(2020)
Article
Computer Science, Artificial Intelligence
Laurent Bonnasse-Gahot, Jean-Pierre Nadal
Summary: This study explores categorical effects in artificial neural networks by combining theoretical analysis and numerical simulations. It demonstrates that category learning automatically induces categorical perception and that deeper layers in the network exhibit stronger categorical effects. Additionally, the study proposes a coherent view on the efficacy of dropout regularization techniques, emphasizing the differential impact of noise on neural representation depending on category structure.
NEURAL COMPUTATION
(2022)
Article
Computer Science, Artificial Intelligence
Kevin Berlemont, Jean-Pierre Nadal
Summary: Through experiments, it was found that reward-modulated Hebbian learning fails to efficiently extract categorical information when the coding layer has been optimized, while confidence-controlled, reward-based Hebbian learning can effectively extract categorical information from the optimized coding layer.
NEURAL COMPUTATION
(2021)
Article
Economics
Marco Pangallo, Jean-Pierre Nadal, Annick Vignes
JOURNAL OF ECONOMIC BEHAVIOR & ORGANIZATION
(2019)
Article
Economics
Laetitia Gauvin, Annick Vignes, Jean-Pierre Nadal
JOURNAL OF ECONOMIC DYNAMICS & CONTROL
(2013)