Results 221 to 230 of about 24,480 (244)
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Partition function zeros of the square-lattice Ising model with nearest- and next-nearest-neighbor interactions.

Physical review. E, Statistical, nonlinear, and soft matter physics, 2010
The distributions of the partition function zeros in the complex a=e2betaJ1 plane of the square-lattice Ising model with nearest-neighbor (J1) and next-nearest-neighbor (J2) interactions are investigated as a function of R=J2/J1.
Seung-Yeon Kim
semanticscholar   +1 more source

Frustration in the Ising model on a decorated square lattice

Physical Review E
In this paper, we performed the comprehensive studies of magnetic frustration properties in the Ising model on a decorated square lattice in the framework of an exact analytical approach based on the Kramers-Wannier transfer matrix method. The assigned challenge consisted in finding rigorous formulas for residual entropies of all possible cases of ...
F. A. Kassan-Ogly, A. V. Zarubin
openaire   +2 more sources

Phase transitions of ?extended? Ising models on a square lattice [PDF]

open access: possibleZeitschrift f�r Physik B Condensed Matter, 1981
The ferromagnetic square lattice Ising spin system is dynamically coupled to another set of Potts variables τ. We show that the usual Ising phase transition is universally preserved, but the transition temperatureTc is shifted upwards. To investigate the transition and to calculateTMc we use both a method by Muller-Hartmann-Zittartz as well as a ...
openaire   +1 more source

Inhomogeneous Ising models with diagonal structure on a square lattice

Zeitschrift f�r Physik B Condensed Matter, 1981
We study inhomogeneous Ising models on a square lattice. The nearest neighbour couplings are allowed to be of arbitrary strength and sign such that the coupling distribution is translationally invariant in diagonal direction. We calculate the partition function and free energy for a random coupling distribution of finite period. The phase transition is
J. Zittartz, W. F. Wolff
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An investigation of the high-field series expansions for the square lattice Ising model

, 1980
Uses high-field series expansions for the square lattice Ising model to investigate the physical singularity in the magnetisation as a function of the field.
I. Enting, R. Baxter
semanticscholar   +1 more source

The Shift Exponent of the Layered Square-Lattice Ising Models

Journal of the Physical Society of Japan, 1996
Layered square-lattice ferromagnetic Ising models (∞×∞× n lattices) are studied by the Monte Carlo simulation with the periodic boundary condition( n = 3 ∼8) and with the free boundary condition ( n = 4 ∼14) in the n -direction. The results show the dimensionality crossover from the square-lattice Ising model to the simple-cubic Ising model.
Masato Ohta   +2 more
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Reentrant transition of the Ising Model on the centred square lattice [PDF]

open access: possibleJournal of Physics A: Mathematical and General, 1986
The Ising model on the centred square lattice (Union Jack lattice) is studied by Vdovichenko's method, for a more general case than Vaks et al. (1966). The reentrant transition of the system is interpreted in terms of effective interactions. A method of associating a factor -1 to some corners of a loop in Vdovichenko's method (1965) is adopted, by ...
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Layered inhomogeneous Ising models with frustration on a square lattice

Zeitschrift f�r Physik B Condensed Matter, 1981
Generalizing a previous treatment we study inhomogeneous Ising models on a square lattice. In particular, we consider models with a layered structure, i.e. translational invariance in the horizontal direction. Otherwise, couplings are allowed to be of arbitrary strength and sign.
W. F. Wolff, J. Zittartz, P. Hoever
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Self-dual cluster renormalisation-group approach for the square lattice Ising model: specific heat and magnetisation

, 1981
A simple renormalisation-group approach based on self-dual clusters is proposed for the two-dimensional nearest-neighbour spin-1/2 Ising model on the square lattice; it reproduces the exact critical point.
H. Mártin, C. Tsallis
semanticscholar   +1 more source

Critical properties of an antiferromagnetic decorated Ising model on a square lattice

, 2020
The authors have investigated the static critical behavior of a two-dimensional decorated Ising model on a square lattice in an external magnetic field, using computational physics methods.
V. A. Mutailamov, A. Murtazaev
semanticscholar   +1 more source

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