Free energy of low temperature antiphase structures in a FCC nearest-neighbour antiferromagnetic Ising model by the Monte Carlo method

1989 ◽  
Vol 50 (19) ◽  
pp. 2983-2990 ◽  
Author(s):  
F. Livet
Keyword(s):  
Monte Carlo ◽  
Free Energy ◽  
Monte Carlo Method ◽  
Ising Model ◽  
Low Temperature ◽  
Nearest Neighbour ◽  
The Monte Carlo Method ◽  
Antiferromagnetic Ising Model

Spreading Characteristics of Molecularly Thin Lubricant on Surfaces With Groove-Shaped Textures: Effects of Molecular Weight and End-Group Functionality

2003 ◽  
Vol 125 (2) ◽  
pp. 350-357 ◽  
Author(s):  
Hedong Zhang ◽  
Yasunaga Mitsuya ◽  
Maiko Yamada
Keyword(s):  
Molecular Weight ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Simulation Method ◽  
Solid Surfaces ◽  
The Monte Carlo Method ◽  
End Groups ◽  
End Group

Effects of molecular weight and end-group functionality on spreading of molecularly thin perfluoropolyether (PFPE) film over solid surfaces with groove-shaped textures have been studied by experiments and Monte Carlo simulations. In the experiments, lubricant spreading on a surface with groove-shaped textures was measured by making use of the phenomenon in which diffracted light weakens in the lubricant-covered region. It is found that grooves serve to accelerate spreading and this effect increases for deeper grooves, and also the accelerating rate becomes larger for a lubricant having a larger molecular weight or functional end-groups. In the simulations, the Monte Carlo method based on the Ising model was extended to enable us to evaluate the effect of molecular weight on the spreading of non-functional lubricant inside a groove. The validity of the newly developed simulation method was well confirmed from the agreement between the simulation and experimental results.

scholarly journals Приближение Бете для двумерной спин-псевдоспиновой системы

2019 ◽  
Vol 61 (9) ◽  
pp. 1676
Author(s):  
Ю.Д. Панов ◽  
А.С. Москвин ◽  
В.А. Улитко ◽  
А.А. Чиков
Keyword(s):  
Numerical Simulation ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Ising Model ◽  
Two Dimensional ◽  
Bethe Approximation ◽  
Nonmagnetic Impurities ◽  
Analytical Results ◽  
Antiferromagnetic Ising Model

A two-dimensional spin-pseudospin model is considered, which generalizes a diluted antiferromagnetic Ising model with charged nonmagnetic impurities in the case of two types of charges. The analytical results in the Bethe approximation are compared with the results of numerical simulation using the classical Monte Carlo method for various parameters.

Spreading Characteristics of Molecularly Thin Lubricant on Surfaces With Groove-Shaped Textures: Monte Carlo Simulation and Measurement Using PFPE Film

2002 ◽  
Vol 124 (3) ◽  
pp. 575-583 ◽  
Author(s):  
Hedong Zhang ◽  
Yasunaga Mitsuya ◽  
Maiko Yamada
Keyword(s):  
Thin Film ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Ising Model ◽  
Solid Surface ◽  
Smooth Surface ◽  
The Monte Carlo Method ◽  
Grooved Surface ◽  
Molecularly Thin Lubricant

Spreading characteristics of molecularly thin lubricant on a grooved surface have been studied numerically by Monte Carlo simulations and compared with measurements obtained by perfluoropolyether (PFPE) thin film spreading on a solid surface with minute grooves. In the simulations, by incorporating the interactions between molecules and the side surfaces of a groove, the Monte Carlo method based on the Ising model was extended to the case of a surface with grooves and applied to simulate the spreading of non-polar lubricant inside a groove. Compared with the spreading on a smooth surface, lubricant spreads rapidly inside a groove, indicating an acceleration of the spreading along the groove. In the experiments, lubricant spreading on a surface with groove-shaped textures was measured by making use of the phenomenon in which diffracted light decreases or vanishes in the lubricant-covered region. Based on the results showing lubricant spreading predominantly along the groove, the accelerating effect obtained in the simulations is well confirmed by the measurements.

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