Physica B: Physics of Condensed Matter, ISSN 0921-4526, 08/2016, Volume 494, pp. 91 - 95

The effects of the bimodal bilinear exchange interaction, model, are investigated for the mixed-spin 1/2 and 3/2 Blume–Capel (BC) model on the Bethe lattice...

Bimodal | Exchange interaction | Bethe lattice | J model | Mixed spin | TRANSVERSE CRYSTAL-FIELD | PHYSICS, CONDENSED MATTER | ISING BILAYER SYSTEM | BOND DILUTION | GLASS | MAGNETIC-PROPERTIES | CRITICAL-BEHAVIOR | POINTS | LATTICE

Bimodal | Exchange interaction | Bethe lattice | J model | Mixed spin | TRANSVERSE CRYSTAL-FIELD | PHYSICS, CONDENSED MATTER | ISING BILAYER SYSTEM | BOND DILUTION | GLASS | MAGNETIC-PROPERTIES | CRITICAL-BEHAVIOR | POINTS | LATTICE

Journal Article

Journal of Magnetism and Magnetic Materials, ISSN 0304-8853, 07/2019, Volume 482, pp. 251 - 261

The universality classes of amorphous alloy system Fe Cr Cu Nb Si B with = 0, 2, 4, 6, 8, and 10 are studied by determination of the static critical exponents...

Universality class | Fe73.5−xCrxCu1Nb3Si13.5B9-based metallic glasses | Static critical exponents | Curie temperature | PHASE-SEPARATION | PHYSICS, CONDENSED MATTER | EQUATION-OF-STATE | NICKEL | RANDOM ANISOTROPY | MATERIALS SCIENCE, MULTIDISCIPLINARY | MAGNETIC-PROPERTIES | Fe73.5-xCrxCu1Nb3Si13.5B9-based metallic glasses | CRITICAL EXPONENTS | Exchanging | Exponents | Heisenberg theory | X-ray diffraction | Metallic glasses | Amorphous alloys | Statistical models | Heterogeneous structure | Alloy systems | Mossbauer spectroscopy | Spin-orbit interactions | Chromium | Ising model | Critical temperature | Mossbauer effect

Universality class | Fe73.5−xCrxCu1Nb3Si13.5B9-based metallic glasses | Static critical exponents | Curie temperature | PHASE-SEPARATION | PHYSICS, CONDENSED MATTER | EQUATION-OF-STATE | NICKEL | RANDOM ANISOTROPY | MATERIALS SCIENCE, MULTIDISCIPLINARY | MAGNETIC-PROPERTIES | Fe73.5-xCrxCu1Nb3Si13.5B9-based metallic glasses | CRITICAL EXPONENTS | Exchanging | Exponents | Heisenberg theory | X-ray diffraction | Metallic glasses | Amorphous alloys | Statistical models | Heterogeneous structure | Alloy systems | Mossbauer spectroscopy | Spin-orbit interactions | Chromium | Ising model | Critical temperature | Mossbauer effect

Journal Article

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 05/2009, Volume 79, Issue 5, p. 051915

We study pairwise Ising models for describing the statistics of multineuron spike trains, using data from a simulated cortical network. We explore efficient...

Boltzmann equation | NEURONS IN-VIVO | entropy | MEAN-FIELD THEORY | SPIN-GLASS | PHYSICS, FLUIDS & PLASMAS | brain models | BOLTZMANN MACHINES | Ising model | STATE | PHYSICS, MATHEMATICAL | spin glasses | Action Potentials - physiology | Neuronal Plasticity - physiology | Synaptic Transmission - physiology | Biological Clocks - physiology | Computer Simulation | Neurons - physiology | Feedback - physiology | Models, Neurological | Nerve Net - physiology | Naturvetenskap | Mathematics | Natural Sciences | Matematik

Boltzmann equation | NEURONS IN-VIVO | entropy | MEAN-FIELD THEORY | SPIN-GLASS | PHYSICS, FLUIDS & PLASMAS | brain models | BOLTZMANN MACHINES | Ising model | STATE | PHYSICS, MATHEMATICAL | spin glasses | Action Potentials - physiology | Neuronal Plasticity - physiology | Synaptic Transmission - physiology | Biological Clocks - physiology | Computer Simulation | Neurons - physiology | Feedback - physiology | Models, Neurological | Nerve Net - physiology | Naturvetenskap | Mathematics | Natural Sciences | Matematik

Journal Article

2016, Graduate Studies in Mathematics, ISBN 9781470419134, Volume 168., 326

Book

Journal of High Energy Physics, ISSN 1126-6708, 8/2016, Volume 2016, Issue 8, pp. 1 - 16

We make precise determinations of the leading scaling dimensions and operator product expansion (OPE) coefficients in the 3d Ising, O(2), and O(3) models from...

Global Symmetries | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Operators | Scanning | Ising model | Mathematical models | Correlators | Islands | Three dimensional models | Scaling | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Global Symmetries | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Operators | Scanning | Ising model | Mathematical models | Correlators | Islands | Three dimensional models | Scaling | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Journal Article

Journal of Magnetism and Magnetic Materials, ISSN 0304-8853, 03/2016, Volume 401, pp. 633 - 646

We derive the exact Helmholtz free energy (HFE) of the standard and staggered one-dimensional Blume–Emery–Griffiths (BEG) model in the presence of an external...

Thermodynamics | BEG model | Blume–Emery–Griffiths model | Quantum statistical mechanics | Optical device | Ising model | Spin-1 | Staggered | Blume-Emery-Griffiths model | PHYSICS, CONDENSED MATTER | STATISTICS | MATERIALS SCIENCE, MULTIDISCIPLINARY | TRIPLET IONS | SYSTEMS | TRANSITIONS | Ferromagnetism | Magnetization | Comparative analysis | Magnetic fields | Phase diagrams | Images | Ground state | Entropy | Physics - Statistical Mechanics

Thermodynamics | BEG model | Blume–Emery–Griffiths model | Quantum statistical mechanics | Optical device | Ising model | Spin-1 | Staggered | Blume-Emery-Griffiths model | PHYSICS, CONDENSED MATTER | STATISTICS | MATERIALS SCIENCE, MULTIDISCIPLINARY | TRIPLET IONS | SYSTEMS | TRANSITIONS | Ferromagnetism | Magnetization | Comparative analysis | Magnetic fields | Phase diagrams | Images | Ground state | Entropy | Physics - Statistical Mechanics

Journal Article

2011, Contemporary mathematics, ISBN 9780821868980, Volume 552, viii, 224

Book

The Annals of Statistics, ISSN 0090-5364, 6/2010, Volume 38, Issue 3, pp. 1287 - 1319

We consider the problem of estimating the graph associated with a binary Ising Markov random field. We describe a method based on ℓ₁-regularized logistic...

Logistic regression | Sample size | Machine learning | Ising model | Markov models | Modeling | Consistent estimators | Vertices | Fisher information | Estimation methods | ℓ1-regularization | Graphical models | Structure learning | Model selection | High-dimensional asymptotics | Convex risk minimization | Markov random fields | 68T99 | convex risk minimization | high-dimensional asymptotics | model selection | 62F12 | structure learning | ℓ_1-regularization

Logistic regression | Sample size | Machine learning | Ising model | Markov models | Modeling | Consistent estimators | Vertices | Fisher information | Estimation methods | ℓ1-regularization | Graphical models | Structure learning | Model selection | High-dimensional asymptotics | Convex risk minimization | Markov random fields | 68T99 | convex risk minimization | high-dimensional asymptotics | model selection | 62F12 | structure learning | ℓ_1-regularization

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 07/2015, Volume 92, Issue 2

We consider a spin-s Heisenberg model coupled to two-dimensional quantum gravity. We quantize the model using the Feynman path integral, summing over all...

2-DIMENSIONAL QUANTUM-GRAVITY | PACKED LOOP MODEL | SPACE-TIME | RANDOM LATTICE | FIELD | ASTRONOMY & ASTROPHYSICS | 3-DIMENSIONAL ISING-MODEL | 6-VERTEX MODEL | ARBITRARY SPINS | 2D-GRAVITY | GEOMETRY | PHYSICS, PARTICLES & FIELDS

2-DIMENSIONAL QUANTUM-GRAVITY | PACKED LOOP MODEL | SPACE-TIME | RANDOM LATTICE | FIELD | ASTRONOMY & ASTROPHYSICS | 3-DIMENSIONAL ISING-MODEL | 6-VERTEX MODEL | ARBITRARY SPINS | 2D-GRAVITY | GEOMETRY | PHYSICS, PARTICLES & FIELDS

Journal Article

RSC Advances, ISSN 2046-2069, 03/2013, Volume 3, Issue 12, pp. 3772 - 3798

Single-chain magnets (SCMs) are one-dimensional (1D) slow-relaxing magnetic chains with interesting fundamental properties and applications, such as...

HIGH-FIELD EPR | MOLECULE-BASED MAGNETS | METAL-ORGANIC FRAMEWORKS | WEAK FERROMAGNETISM | DIMENSIONAL COORDINATION POLYMERS | NITRONYL NITROXIDE | SLOW RELAXATION | ISING-MODEL | MANGANESE(III) PORPHYRINS | CRYSTAL-STRUCTURES | CHEMISTRY, MULTIDISCIPLINARY

HIGH-FIELD EPR | MOLECULE-BASED MAGNETS | METAL-ORGANIC FRAMEWORKS | WEAK FERROMAGNETISM | DIMENSIONAL COORDINATION POLYMERS | NITRONYL NITROXIDE | SLOW RELAXATION | ISING-MODEL | MANGANESE(III) PORPHYRINS | CRYSTAL-STRUCTURES | CHEMISTRY, MULTIDISCIPLINARY

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 4/2018, Volume 2018, Issue 4, pp. 1 - 11

We use scale invariant scattering theory to exactly determine the lines of renormalization group fixed points for O(N )-symmetric models with quenched disorder...

Random Systems | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | MONTE-CARLO | UNIVERSALITY | EXPONENTS | ENERGY | SYMMETRY | 2D ISING-MODEL | PHASE-TRANSITION | POTTS-MODEL | CRITICAL-BEHAVIOR | PHYSICS, PARTICLES & FIELDS | Analysis | Atmospheric physics | Two dimensional models | Flux density | Quenching | Symmetry | Field Theories in Lower Dimensions; Random Systems; Nuclear and High Energy Physics | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | FIS/02 - Theoretical Physics, Models and Mathematical Methods | Condensed Matter | Disordered Systems and Neural Networks | High Energy Physics - Theory

Random Systems | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | MONTE-CARLO | UNIVERSALITY | EXPONENTS | ENERGY | SYMMETRY | 2D ISING-MODEL | PHASE-TRANSITION | POTTS-MODEL | CRITICAL-BEHAVIOR | PHYSICS, PARTICLES & FIELDS | Analysis | Atmospheric physics | Two dimensional models | Flux density | Quenching | Symmetry | Field Theories in Lower Dimensions; Random Systems; Nuclear and High Energy Physics | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | FIS/02 - Theoretical Physics, Models and Mathematical Methods | Condensed Matter | Disordered Systems and Neural Networks | High Energy Physics - Theory

Journal Article

Physical Review Letters, ISSN 0031-9007, 07/2015, Volume 115, Issue 5, p. 051601

We implement the conformal bootstrap program for three dimensional conformal field theories with N = 2 supersymmetry and find universal constraints on the...

PHYSICS, MULTIDISCIPLINARY | 3 DIMENSIONS | GAUGE-THEORIES | Supersymmetry | Operators | Mathematical analysis | Ising model | Scalars | Field theory | Mathematical models | Three dimensional | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

PHYSICS, MULTIDISCIPLINARY | 3 DIMENSIONS | GAUGE-THEORIES | Supersymmetry | Operators | Mathematical analysis | Ising model | Scalars | Field theory | Mathematical models | Three dimensional | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 10/2018, Volume 508, pp. 95 - 103

Econophysics emerged in the 1990s by importing statistical physics into economics and finance. Such extension of physics to another context generated a lot of...

Econophysics | Ising model | Analogy | Statistical physics | RENORMALIZATION-GROUP | PHYSICS, MULTIDISCIPLINARY | FINANCE | COMPLEXITY | ECONOMICS

Econophysics | Ising model | Analogy | Statistical physics | RENORMALIZATION-GROUP | PHYSICS, MULTIDISCIPLINARY | FINANCE | COMPLEXITY | ECONOMICS

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 12/2015, Volume 440, pp. 90 - 99

In this study, we performed Monte Carlo simulations of the -Potts model on quasiperiodic decagonal lattices (QDL) to assess the critical behavior of these...

Quasiperiodic decagonal lattices | [formula omitted]-Potts model | Critical exponents | Monte Carlo simulation | q-Potts model | PHYSICS, MULTIDISCIPLINARY | 3-STATE POTTS-MODEL | ISING-MODEL | 2-DIMENSIONAL PENROSE | SCALING FUNCTIONS | Monte Carlo method | Analysis | Models | Physics - Statistical Mechanics

Quasiperiodic decagonal lattices | [formula omitted]-Potts model | Critical exponents | Monte Carlo simulation | q-Potts model | PHYSICS, MULTIDISCIPLINARY | 3-STATE POTTS-MODEL | ISING-MODEL | 2-DIMENSIONAL PENROSE | SCALING FUNCTIONS | Monte Carlo method | Analysis | Models | Physics - Statistical Mechanics

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 03/2017, Volume 916, Issue C, pp. 28 - 36

The -dimensional Potts model was simulated with the exact diagonalization method. In the ordered phase, the elementary excitations (magnons) are attractive,...

2+1 DIMENSIONS | TEMPERATURE | SCREENING MASSES | ISING-MODEL | SYSTEMS | MAGNETIC-FIELD | CRITICAL-BEHAVIOR | TRANSITIONS | INTEGRABLE FIELD-THEORY | PURE GAUGE-THEORY | PHYSICS, PARTICLES & FIELDS | Physics - Statistical Mechanics | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | Nuclear and High Energy Physics

2+1 DIMENSIONS | TEMPERATURE | SCREENING MASSES | ISING-MODEL | SYSTEMS | MAGNETIC-FIELD | CRITICAL-BEHAVIOR | TRANSITIONS | INTEGRABLE FIELD-THEORY | PURE GAUGE-THEORY | PHYSICS, PARTICLES & FIELDS | Physics - Statistical Mechanics | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | Nuclear and High Energy Physics

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 03/2019, Volume 518, pp. 111 - 118

The Baxter–Wu model in one, two, and three dimensions is studied according to a mean-field-like approach. The thermodynamics and the phase transition behavior...

Baxter–Wu model | Mean-field approach | Phase transitions | ISING-MODEL | PHYSICS, MULTIDISCIPLINARY | Baxter-Wu model

Baxter–Wu model | Mean-field approach | Phase transitions | ISING-MODEL | PHYSICS, MULTIDISCIPLINARY | Baxter-Wu model

Journal Article

Advanced Materials, ISSN 0935-9648, 10/2018, Volume 30, Issue 40, pp. e1804210 - n/a

The interaction between microscopic particles is always a fascinating and intriguing area of science. Direct interrogation of such interactions is often...

Ising model | metamaterials | terahertz | Fano | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | TOROIDAL RESONANCES | MATERIALS SCIENCE, MULTIDISCIPLINARY | CHEMISTRY, PHYSICAL | NANOSCIENCE & NANOTECHNOLOGY | CHEMISTRY, MULTIDISCIPLINARY | Electric fields | Resonance scattering | Thermal emission | Phase transformations | Particle spin | Magnetic resonance | Interrogation | Multipoles | Two dimensional models | Metamaterials | Thermal imaging

Ising model | metamaterials | terahertz | Fano | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | TOROIDAL RESONANCES | MATERIALS SCIENCE, MULTIDISCIPLINARY | CHEMISTRY, PHYSICAL | NANOSCIENCE & NANOTECHNOLOGY | CHEMISTRY, MULTIDISCIPLINARY | Electric fields | Resonance scattering | Thermal emission | Phase transformations | Particle spin | Magnetic resonance | Interrogation | Multipoles | Two dimensional models | Metamaterials | Thermal imaging

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 7/2019, Volume 65, Issue 11, pp. 1 - 1

Given samples from an unknown multivariate distribution p, is it possible to distinguish whether p is the product of its marginals versus p being far from...

Computer science | Analytical models | Upper bound | Graphical models | Computational modeling | Ising models | Hypothesis Testing | Complexity theory | Statistics | Testing | Markov random fields

Computer science | Analytical models | Upper bound | Graphical models | Computational modeling | Ising models | Hypothesis Testing | Complexity theory | Statistics | Testing | Markov random fields

Journal Article

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, ISSN 0304-8853, 10/2019, Volume 488, p. 165368

General Spin-S Ising model under the effect of the random field has been investigated within the effective field approximation. Effect of the bimodal...

TRICRITICAL BEHAVIOR | PHYSICS, CONDENSED MATTER | LONGITUDINAL-RANDOM-FIELD | MATERIALS SCIENCE, MULTIDISCIPLINARY | CRYSTAL-FIELD | DIFFERENTIAL OPERATOR TECHNIQUE | Spin-S Ising model | THERMODYNAMICAL PROPERTIES | Effective field theory | Gaussian bimodal random field | SYSTEMS | MAGNETIC-PROPERTIES | TRANSITIONS | bimodal random field | THIN-FILM | PHASE-DIAGRAMS | Phase diagrams | Normal distribution | Gaussian distribution | Ising model | Order parameters | Entropy | Fields (mathematics)

TRICRITICAL BEHAVIOR | PHYSICS, CONDENSED MATTER | LONGITUDINAL-RANDOM-FIELD | MATERIALS SCIENCE, MULTIDISCIPLINARY | CRYSTAL-FIELD | DIFFERENTIAL OPERATOR TECHNIQUE | Spin-S Ising model | THERMODYNAMICAL PROPERTIES | Effective field theory | Gaussian bimodal random field | SYSTEMS | MAGNETIC-PROPERTIES | TRANSITIONS | bimodal random field | THIN-FILM | PHASE-DIAGRAMS | Phase diagrams | Normal distribution | Gaussian distribution | Ising model | Order parameters | Entropy | Fields (mathematics)

Journal Article