Vectorized Monte Carlo simulation of large Ising models near the critical point

1988 ◽  
Vol 37 (10) ◽  
pp. 5444-5447 ◽  
Author(s):  
Masatoshi Mori ◽  
Yoshinori Tsuda
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Critical Point ◽  
Ising Models

Monte Carlo simulation of very large kinetic Ising models

1981 ◽  
Vol 44 (4) ◽  
pp. 333-337 ◽  
Author(s):  
B. K. Chakrabarti ◽  
H. G. Baumg�rtel ◽  
D. Stauffer
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Ising Models ◽  
Kinetic Ising Models

Monte Carlo simulation of very large dilute random-field Ising models using multi-spin coding

1987 ◽  
Vol 43 (3) ◽  
pp. 329-337 ◽  
Author(s):  
Debashish Chowdhury ◽  
E.T. Gawlinski ◽  
J.D. Gunton
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Random Field ◽  
Ising Models

A Novel Reliability Analysis Method for Turbine Discs with the Mixture of Fuzzy and Probability-Box Variables

2018 ◽  
Vol 0 (0) ◽  
Author(s):  
Xiaoqiang Zhang ◽  
Huiying Gao ◽  
Yan-Feng Li ◽  
Hong-Zhong Huang
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Critical Point ◽  
Computational Cost ◽  
Saddlepoint Approximation ◽  
Aerospace Engineering ◽  
Equivalent Transformation ◽  
Analysis Method ◽  
Fuzzy Variables ◽  
Novel Method

Abstract Fuzzy and probability-box (p-box) variables exit widely in aerospace engineering. To evaluate the reliability of turbine discs under the mixture of these two types of variables and guarantee safety, the critical point lies in how to deal with the fuzzy variables. In this paper, a novel method based on equivalent transformation of entropy and saddlepoint approximation (SPA) is proposed to estimate the reliability of turbine discs with the mixture of fuzzy and p-box variables. The advantage of the proposed method is that it can transform fuzzy variables whose memberships are non-normal into normal random variables through entropy invariability; meanwhile, using the SPA, the required sample size and corresponding computational cost decreases greatly. An example is used to illustrate the proposed method and a comparison is also made with the interval Monte Carlo simulation (IMCS). The results indicate that the proposed method is promising and has higher efficiency with almost the same accuracy.

scholarly journals Z2 GAUGE MATTER COUPLED TO 4-D SIMPLICIAL QUANTUM GRAVITY

1994 ◽  
Vol 09 (27) ◽  
pp. 2527-2541 ◽  
Author(s):  
J. AMBJØRN ◽  
J. JURKIEWICZ ◽  
S. BILKE ◽  
Z. BURDA ◽  
B. PETERSSON
Keyword(s):  
Phase Transition ◽  
Phase Diagram ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Quantum Gravity ◽  
Gauge Field ◽  
Critical Point ◽  
Order Phase Transition ◽  
Critical Index ◽  
Second Order Phase Transition

Employing Monte-Carlo simulation we study the phase diagram of a Z2 gauge field coupled to simplicial quantum gravity. We localize a critical point of the model where both the matter and gravity sectors have a second order phase transition. We found the value of the critical index γg=0.16(4) of the gravity susceptibility at the critical point.

The Competition Effect of Strain and Interatomic Distance on Ferromagnetic Critical Temperature in Ising Ultra-Thin-Film: Monte Carlo Simulation

2013 ◽  
Vol 813 ◽  
pp. 311-314
Author(s):  
Yongyut Laosiritaworn ◽  
Wimalin Laosiritaworn
Keyword(s):  
Thin Film ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Critical Temperature ◽  
Exchange Interaction ◽  
Critical Point ◽  
Interatomic Distance ◽  
Critical Temperatures ◽  
Spin Configuration ◽  
Ultra Thin Film

This work used Monte Carlo simulation to investigate the effect of lattice strain on critical temperature of the ferromagnetic Ising ultra-thin-film. Using Bethe-Slater interpretation, exchange interaction was assumed Lennard-Jones (LJ) potential function, and becomes functions of interatomic distance. The cluster flip algorithm was used to update the spin configuration, where energy and magnetization were measure to extract critical temperature via the fourth order cumulant of the magnetization. Results show that initial interatomic distance and strain have strong effect on magnetic critical point behavior. The critical point can be enhanced or suppressed depending on how exchange interaction is modified by the values of initial interatomic distance and strain. A scaling function in predicting critical temperatures is also given in this work. Results agree well with previous applicable works, which confirms the reliability of the reported results.

A Monte Carlo Simulation of the Stillinger-Weber Model for Si-Ge Alloys

1994 ◽  
Vol 358 ◽  
Author(s):  
Mohamed Laradji ◽  
D. P. Landau ◽  
B. Dünweg
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Critical Point ◽  
Silicon Germanium ◽  
Finite Size ◽  
Universality Class ◽  
Phase Region ◽  
Scaling Analysis ◽  
Two Phase ◽  
Rich Phase

ABSTRACTThe bulk phase behavior of silicon-germanium alloys is investigated by means of a constant pressure Monte Carlo simulation of the Stillinger-Weber potential in the semi-grand-canonical ensemble. At low temperatures, Si and Ge phase separate into a Si-rich phase and a Ge-rich phase. The two-phase region is terminated by a critical point whose nature is investigated thoroughly by the multihistogram method combined with finite size scaling analysis. These results showed that the critical behavior of the alloy belongs to the mean field universality class, presumably due to the elastic degrees of freedom. We have also studied the structural properties of the mixture and found that the linear thermal expansions of both Si and Ge agree well with experiments. We also verified Végard's law above the critical point and calculated bond length distributions.

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