Critical behavior of the two-dimensionalXYmodel: A Monte Carlo simulation

1986 ◽  
Vol 34 (1) ◽  
pp. 292-300 ◽  
Author(s):  
Julio F. Fernández ◽  
Manuel F. Ferreira ◽  
Jolanta Stankiewicz
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Critical Behavior

scholarly journals Monte Carlo Simulation and Static and Dynamic Critical Behavior of the Plane Rotator Model

1978 ◽  
Vol 60 (6) ◽  
pp. 1669-1685 ◽  
Author(s):  
S. Miyashita ◽  
H. Nishimori ◽  
A. Kuroda ◽  
M. Suzuki
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Critical Behavior ◽  
Rotator Model ◽  
Plane Rotator

Zeros of Partition Function and Critical Exponents of the 3D Diluted Ising Model

2016 ◽  
Vol 845 ◽  
pp. 150-153
Author(s):  
Andrey N. Vakilov
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Ising Model ◽  
Partition Function ◽  
Critical Behavior ◽  
Critical Exponents ◽  
Three Dimensional ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Zeros Of Partition Function

We used a Monte Carlo simulation of the structurally disordered three dimensional Ising model. For the systems with spin concentrations p = 0.95 ,0.8, 0.6 and 0.5 we calculated the correlation-length critical exponent ν by finite-size scaling. Extrapolations to the thermodynamic limit yield ν(0.95) = 0.705(5) ,ν(0.8) = 0.711(6),ν(0.6) = 0.736(6) and ν(0.5) = 0.744(6). These results are compatible with some previous estimates from a variety of sources. The analysis of the results demonstrates the nonuniversality of the critical behavior in the disordered Ising model.

Critical behavior of Pr0.65Sr0.35MnO3 compound investigated by a Monte Carlo simulation

2020 ◽  
Author(s):  
Lhaj el Hachemi Omari ◽  
Abdelmajid Lekdadri ◽  
Rachid Chami ◽  
El Kibir Hlil
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Ising Model ◽  
Curie Temperature ◽  
Critical Behavior ◽  
Nearest Neighbor ◽  
Magnetic Behavior ◽  
Cooling Power ◽  
Thermal Bath ◽  
Magnetic Entropy

The critical behavior and magnetic properties of Pr0.65Sr0.35MnO3 (symbolized by PSMO) were studied using Monte Carlo simulation (MCS). The thermal bath algorithm and the Ising model in which exchange interactions via the third nearest neighbor were used to calculate the magnetic and magneto-caloric properties. The effects of temperature (T) and external magnetic field (h) on the magnetic behavior of PSMO were examined. The results show that the Curie temperature (TC) is close to the experimental value. The magnetic entropy shows a maximum value around the TC which increases linearly with the increase of the external field. The expected critical behavior of the PSMO nanoparticles was studied through the isothermal magnetization and from the Arrott plots. The obtained values are β = 0.356, γ = 1.121, and δ = 3.95. These values not so far from those reported for the 3D-Ising model. The variation of maximum magnetic entropy (∆S_m^max) and relative cooling power (RCP) around the Curie temperature were calculated; the resulting values of ∆S_m^max and those of RCP range from 3.612 and 92.7 for 1T to 6.191 and 209.9 for 5T, respectively. These results are sufficiently interesting to consider the PSMO compound as a promising candidate for magnetic refrigeration.

scholarly journals Monte Carlo simulation of nonequilibrium critical behavior of 3D Ising model

2014 ◽  
Vol 6 (1) ◽  
pp. 119-129
Author(s):  
Eugenii Anatolievich Pospelov ◽  
Pavel Vladimirovich Prudnikov ◽  
Vladimir Vasilievich Prudnikov
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Ising Model ◽  
Critical Behavior ◽  
3D Ising Model

Electron Scattering in Solids

1990 ◽  
Vol 48 (2) ◽  
pp. 4-5
Author(s):  
Ryuichi Shimizu ◽  
Ze-Jun Ding
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Angular Distribution ◽  
Elastic Scattering ◽  
Electron Scattering ◽  
Cross Sections ◽  
Expansion Method ◽  
Electron Excitation ◽  
Partial Wave Expansion ◽  
Backscattered Electrons

Monte Carlo simulation has been becoming most powerful tool to describe the electron scattering in solids, leading to more comprehensive understanding of the complicated mechanism of generation of various types of signals for microbeam analysis.The present paper proposes a practical model for the Monte Carlo simulation of scattering processes of a penetrating electron and the generation of the slow secondaries in solids. The model is based on the combined use of Gryzinski’s inner-shell electron excitation function and the dielectric function for taking into account the valence electron contribution in inelastic scattering processes, while the cross-sections derived by partial wave expansion method are used for describing elastic scattering processes. An improvement of the use of this elastic scattering cross-section can be seen in the success to describe the anisotropy of angular distribution of elastically backscattered electrons from Au in low energy region, shown in Fig.l. Fig.l(a) shows the elastic cross-sections of 600 eV electron for single Au-atom, clearly indicating that the angular distribution is no more smooth as expected from Rutherford scattering formula, but has the socalled lobes appearing at the large scattering angle.

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