A Monte Carlo Study of Dynamic Phase Transitions Observed in the Kinetic S = 1 Ising Model on Nonregular Lattices [PDF]
EntropyIn the present paper, we discuss the thermodynamic and dynamic phase transition properties of the kinetic Blume–Capel model with spin-1, defined on non-regular lattices, namely decorated simple cubic, decorated triangular, and decorated square (Lieb ...
Yusuf Yüksel
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Susceptibility of the transverse field Ising model on the square lattice
, 2011 4 pages, 3 ...
А. Кашуба
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A Comprehensive Study of the Phase Transitions of the Frustrated J1-J2 Ising Model on the Square Lattice [PDF]
Progress of Theoretical and Experimental PhysicsWe study the phase transitions of the two-dimensional frustrated J1-J2 Ising model on the square lattice with Monte Carlo simulations. Here J1 < 0 and J2 > 0 are the couplings for the nearest and next nearest neighbor Ising spins, respectively.
Shang-Wei Li, Fu-Jiun Jiang
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The Fuchsian differential equation of the square lattice Ising model (3)susceptibility [PDF]
, 2004 Using an expansion method in the variables xi that appear in (n ? 1)-dimensional integrals representing the n-particle contribution to the Ising square lattice model susceptibility ?, we generate a long series of coefficients for the three-particle ...
N Zenine +3 more
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Low-temperature series expansions for the square lattice Ising model with spin [PDF]
, 1996 We derive low-temperature series (in the variable ) for the spontaneous magnetization, susceptibility, and specific heat of the spin-S Ising model on the square lattice for , 2, , and 3.
Iwan Jensen, A J Guttmann, I. G. Enting
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Square lattice Ising model \tilde{\chi }^{(5)} ODE in exact arithmetic [PDF]
, 2010 We obtain in exact arithmetic the order 24 linear differential operator L24 and the right-hand side E(5) of the inhomogeneous equation L24(Φ(5)) = E(5), where is a linear combination of n-particle contributions to the susceptibility of the square lattice
B. G. Nickel +6 more
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Square-lattice Ising model in a weak uniform magnetic field: Renormalization-group analysis
Physical Review B (Condensed Matter), 1987 For the two-dimensional ferromagnetic Ising critical point, I show that the known values of the critical exponents imply the absence of logarithms of the reduced temperature in the leading contributions to any field derivative of the free energy at zero ...
Miron Kaufman
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Ising model on a square lattice with second-neighbor and third-neighbor interactions [PDF]
Journal of Magnetism and Magnetic Materials, 2015 We studied the phase transitions and magnetic properties of the Ising model on a square lattice by the replica Monte Carlo method and by the method of transfer-matrix, the maximum eigenvalue of which was found by Lanczos method. The competing exchange interactions between nearest neighbors $J_{1}$, second $J_{2}$, third neighbors $J_{3}$ and an ...
F. A. Kassan‐Ogly +4 more
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Multirange Ising model on the square lattice [PDF]
Physical Review E, 2020 9 pages and 5 ...
Charles S. do Amaral +3 more
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Critical behavior of the classical spin-1 Ising model for magnetic systems
AIP Advances, 2022 In this work, the critical properties of the classical spin-1 Ising Hamiltonian applied to magnetic systems characterized by the first-neighbors biquadratic exchange, the anisotropy and the external magnetic field contributions are theoretically ...
R. Zivieri
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