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1
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The Numerically Generated Series Expansions for Spin-Lattice Systems

100%
Musiał G.
Acta Physica Polonica A
|
2000
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vol. 97
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issue 5
901-904
EN
The numerically generated series expansions complementary to widely used computer simulations of the Monte Carlo type, are presented. The effective algorithm for generation of graphs, which constitute the basis of series expansions for spin-lattice systems, is introduced. The use of the numerically generated series expansions to calculate the free energy for the eight-vertex model is explained and discussed in detail.
2
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On Anomalous Dependence of Current Carrier concentration on Thickness in Thin Bismuth Films

100%
Musiał G.
Acta Physica Polonica A
|
1997
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vol. 91
|
issue 2
289-292
EN
Using a simple model of thin film a dependence of the current carrier concentration N on thickness L in thin bismuth films is calculated in the conditions of the quantum size effect. Applying the parametrized form of the thin film potential it is shown that the experimentally determined anomalous dependence N(L) can be obtained theoretically, assuming the standard boundary conditions in contrast to the results reported in literature. It is proved that the very structure of the hole energy spectrum is responsible for the anomalous character of the N(L) dependence.
3
Content available remote

Arbitrarily Weak First Order Phase Transitions in the 3D Standard Ashkin-Teller Model by MC Computer Experiments

51%
Jeziorek-Knioła D., Musiał G., Wojtkowiak Z.
Acta Physica Polonica A
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2015
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vol. 127
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issue 2
327-329
EN
The first order phase transition line in the vicinity of the tricritical Ising point region is studied in the 3D standard Ashkin-Teller model on a cubic lattice. The large-scale Monte Carlo computer experiments using the Binder- and Challa-like cumulants, the latter modified by Musial, are proposed and performed. Specific behavior of the Challa-Musial cumulants for weak first order phase transitions is discovered and its interpretation is proposed. The paper proves the arbitrarily weak first order character of phase transitions when approaching to the Ising point.
4
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Computation of Latent Heat based on the Energy Distribution Histogram in the 3D Ashkin-Teller Model

51%
Jeziorek-Knioła D., Wojtkowiak Z., Musiał G.
Acta Physica Polonica A
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2018
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vol. 133
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issue 3
435-437
EN
The method of computation of the latent heat based on the energy distribution histogram is applied to the standard 3D Ashkin-Teller (AT) model. Similarly as in the original method for the q-state Potts model for strong first order phase transitions, the characteristic histogram with two peaks in the critical region have been observed. Positions of two minima of negative logarithm of internal energy probability for samples of finite size show good linear scalability to the thermodynamic limit. The applicability of this method has been confirmed by proving that the latent heat values are consistent with the ones obtained by us using the analysis of the behavior of the cumulants of the type of Challa and of Lee-Kosterlitz. The presented method is far more efficient than the one based on those cumulants.
5
Content available remote

Effective Field Methods for Magnetic Systems

51%
Kamieniarz G., Dekeyser R., Musiał G.
Acta Physica Polonica A
|
1994
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vol. 85
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issue 2
413-417
EN
The self-consistency conditions inherent in the mean-field approximation are extended to take into account some pair correlations. Ii is shown that this extension is systematically improvable and applicable to the spin systems with short-range interactions in the entire temperature region. With two correlations included and the renormalization-group ideas implemented, the critical properties of the Ising model are satisfactorily revealed. Moreover, the improved estimates of the thermodynamical quantities for the quantum linear XY model from the finite-size calculations are found down to very low temperatures.
6
Content available remote

On Non-Ising Phase Transitions in the 3D Standard Ashkin-Teller Model

45%
Jeziorek-Knioła D., Musiał G., Dębski L., Rogiers J., Dylak S.
Acta Physica Polonica A
|
2012
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vol. 121
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issue 5-6
1105-1107
EN
The phase transition line near the Ising point region is studied for the 3D standard Ashkin-Teller model on a cubic lattice. This model with a multicomponent order parameter is one of the important reference points in statistical physics since it shows an interesting and complicated phase diagram. The main motivation for our study was nonuniversal behavior suggested for this line. The large-scale Monte Carlo simulations using the Binder and Challa like cumulants are performed. Accurate analysis to exclude the latent heat inherence is applied. Specific behavior of the Challa like cumulants is discovered and its interpretation is proposed. The paper is closed with preliminary conclusions concerning the continuous but non-Ising character of these phase transitions in the lower part of the mixed phase region and the possiblity of the first order on the line connecting it to the Ising point.
7
Content available remote

Modeling of the Experimental Molecular-Based Ring-Shaped Nanomagnets

39%
Antkowiak M., Kozłowski P., Musiał G., Florek W., Kamieniarz G., Esposito F.
|
|
issue 5
965-966
EN
Quantum transfer matrix technique and numerically exact diagonalization method are applied to the Heisenberg spin systems to model ring-shaped molecules. Two cases are investigated: (i) a dozen of S = 1 spins with additional biquadratic exchange and (ii) a dimetallic molecule Cr_7Cd, where it is assumed that exchange anisotropy is determined in a local coordination system. In the latter case the calculated susceptibility is compared with experimental results.
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