APPLICATION OF MONTE CARLO METHOD FOR BOLTZMANN KINETIC EQUATION SOLVING IN APPROXIAMATION OF CONSTANT RELAXATION TIME

10.12737/6386 ◽  
2014 ◽  
Vol 2 (5) ◽  
pp. 215-217
Author(s):  
D. Zavyalov ◽  
V. Konchenkov
Keyword(s):  
Monte Carlo ◽  
Relaxation Time ◽  
Kinetic Equation ◽  
Monte Carlo Method ◽  
Boltzmann Kinetic Equation ◽  
Equation Solving ◽  
Constant Relaxation Time

The Influnence of the Amplitude and Frequency of Sweeped Magnetic Field on the Exchange Bias and Coercivity for Ferromagnetic / Antiferromagnetic Films: Monte Carlo Simulation

2011 ◽  
Vol 694 ◽  
pp. 538-542
Author(s):  
Wen Ting Zheng ◽  
Li Qin Jiang ◽  
Zhi Gao Huang
Keyword(s):  
Magnetic Field ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Relaxation Time ◽  
Monte Carlo Method ◽  
External Magnetic Field ◽  
Low Temperature ◽  
Exchange Bias

The influnence of the amplitude (H0) and frequency of sweeped magnetic field on the exchange bias He and coercivity Hc for ferromagnetic/ antiferromagnetic films has been simulated with Monte Carlo method. In a cycle, the sweeped frequency is inversely proportional to Monte Carlo steps (MCSs). It is observed that, for smaller MCSs, the values of He and the blocking tempreture Tb reduce evidently with increasing MCSs; for larger MCSs, the values of He and Tb decrease gently with increasing MCSs. It is also found the values of He and Tb decrease obviously with increasing values of H0 (HN0). However, on the contrary, the value of Hc increases with increasing values of H0 (HN0). At low temperature and little HN0, the asymmetric loop may appear, which is attributed to the competition between the relaxation time and the period of the external magnetic field. Moreover, the symmetry of the loops influences evidently the values of He and Hc.

Equation Solving DRESOR Method for Radiative Transfer in Three-Dimensional Isotropically Scattering Media

2014 ◽  
Vol 136 (9) ◽  
Author(s):  
Zhifeng Huang ◽  
Huaichun Zhou ◽  
Guihua Wang ◽  
Pei-feng Hsu
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Computation Time ◽  
Discrete Ordinates ◽  
Distinct Advantage ◽  
Reverse Monte Carlo ◽  
Scattering Media ◽  
Equation Solving ◽  
Radiative Intensity ◽  
The Monte Carlo Method

Distributions of ratios of energy scattered or reflected (DRESOR) method is a very efficient tool used to calculate radiative intensity with high directional resolution, which is very useful for inverse analysis. The method is based on the Monte Carlo (MC) method and it can solve radiative problems of great complexity. Unfortunately, it suffers from the drawbacks of the Monte Carlo method, which are large computation time and unavoidable statistical errors. In this work, an equation solving method is applied to calculate DRESOR values instead of using the Monte Carlo sampling in the DRESOR method. The equation solving method obtains very accurate results in much shorter computation time than when using the Monte Carlo method. Radiative intensity with high directional resolution calculated by these two kinds of DRESOR method is compared with that of the reverse Monte Carlo (RMC) method. The equation solving DRESOR (ES-DRESOR) method has better accuracy and much better time efficiency than the Monte Carlo based DRESOR (original DRESOR) method. The ES-DRESOR method shows a distinct advantage for calculating radiative intensity with high directional resolution compared with the reverse Monte Carlo method and the discrete ordinates method (DOM). Heat flux comparisons are also given and the ES-DRESOR method shows very good accuracy.

scholarly journals Распределение кислородных вакансий во внешнем электрическом поле и кислородная проводимость в акцепторно допированных ионных проводниках флюоритной структуры

2021 ◽  
Vol 63 (6) ◽  
pp. 735
Author(s):  
М.З. Урицкий
Keyword(s):  
Monte Carlo ◽  
Kinetic Equation ◽  
Monte Carlo Method ◽  
Dopant Concentration ◽  
Impurity Content ◽  
Fluorite Structure ◽  
Impurity Effect ◽  
The Monte Carlo Method ◽  
Carrier Redistribution ◽  
Stationary Conditions

The distribution of current carriers over the lattice sites in the fluorite structure of (AO₂)₁₋ₓ(BO₁.₅)ₓ oxides for the region of not too large values of the dopant concentration in an external electric field has been calculated by solving the basic kinetic equation under stationary conditions. The influence of carrier redistribution in the external field on the value of ionic conductivity and the position of the maximum of its dependence on the impurity content has been studied. The conductivity is considered in the framework of a model in which the impurity effect on transport is reduced to blocking jumps of current carriers along the edges of the oxygen lattice closest to the dopant ions. The analytical results are confirmed by numerical calculations using the Monte Carlo method and can be used to explain the position of experimentally observed maxima of the dependence of conductivity on the dopant concentration in such structures.

scholarly journals Irreversible Deposition of Line Segment Mixtures on a Square Lattice: Monte Carlo Study

1998 ◽  
Vol 12 (18) ◽  
pp. 1887-1892 ◽  
Author(s):  
Jae Woo Lee
Keyword(s):  
Monte Carlo ◽  
Kinetic Equation ◽  
Monte Carlo Method ◽  
Monte Carlo Study ◽  
Data Fitting ◽  
Square Lattice ◽  
Random Sequential Adsorption ◽  
Lattice Monte Carlo ◽  
Sequential Adsorption ◽  
Kinetics Of

We have studied kinetics of random sequential adsorption of mixtures on a square lattice using Monte Carlo method. Mixtures of linear short segments and long segments were deposited with the probability p and 1-p, respectively. For fixed lengths of each segment in the mixture, the jamming limits decrease when p increases. The jamming limits of mixtures always are greater than those of the pure short- or long-segment deposition. For fixed p and fixed length of the short segments, the jamming limits have a maximum when the length of the long segment increases. We conjectured a kinetic equation for the jamming coverage based on the data fitting.

Modified relaxation time Monte Carlo method for continuum-transition gas flows

2008 ◽  
Vol 227 (9) ◽  
pp. 4763-4775 ◽  
Author(s):  
Xudong Lan ◽  
Jun Sun ◽  
Zhixin Li
Keyword(s):  
Monte Carlo ◽  
Relaxation Time ◽  
Monte Carlo Method ◽  
Gas Flows
Sign in / Sign up

Export Citation Format

Share Document