New correlative randomized algorithms for statistical modelling of radiation transfer in stochastic medium

2021 ◽  
Vol 36 (4) ◽  
pp. 219-225
Author(s):  
Guennady A. Mikhailov ◽  
Ilia N. Medvedev
Keyword(s):  
Correlation Length ◽  
Randomized Algorithms ◽  
Radiation Transfer ◽  
Random Medium ◽  
Statistical Modelling ◽  
Simple Test ◽  
Stochastic Medium ◽  
One Dimensional ◽  
Dimensional Distribution ◽  
New Algorithms

Abstract Correlative randomized algorithms are constructed by simple randomization of the algorithm of maximum cross-section (equalization, delta tracking) with the use of a one-dimensional distribution and the correlation function or only correlation length of a random medium. The value of the used correlation length can be adjusted using simple test studies. The calculations carried out confirmed the practical effectiveness of the new algorithms.

New algorithms of numerical–statistical modelling of radiative transfer through stochastic mediums and radiation models homogenization

2014 ◽  
Vol 29 (6) ◽  
Author(s):  
Andrey Yu. Ambos ◽  
Gennady A. Mikhailov
Keyword(s):  
Radiation Transfer ◽  
Statistical Modelling ◽  
Random Numbers ◽  
Asymptotic Estimates ◽  
Radiation Model ◽  
Exponential Factor ◽  
Statistical Estimates ◽  
Simulation Results ◽  
Cross Section Method ◽  
New Algorithms

AbstractNew algorithms for statistical modelling of radiation transfer through stochastic exponentially correlated media are constructed. For this purpose, a special geometrical implementation of the ‘maximum cross-section method’ is developed, which allows us to take into account the absorption of radiation with a weight exponential factor. Asymptotic estimates of the parameters of the homogenized radiation model are constructed relative to the size of the medium. A special ‘distributive’ method of pseudo-random numbers generation used in the paper allows us to perform a comparative analysis of simulation results on the base of the corresponding correlation of statistical estimates.

Numerically statistical simulation of the intensity field of the radiation transmitted through a random medium

2018 ◽  
Vol 33 (3) ◽  
pp. 161-171 ◽  
Author(s):  
Andrey Yu. Ambos ◽  
Gennadii A. Mikhailov
Keyword(s):  
Random Media ◽  
Radiation Transfer ◽  
Random Medium ◽  
Statistical Simulation ◽  
Angular Distributions ◽  
One Dimensional ◽  
Different Types ◽  
Intensity Field

Abstract The radiation transfer through random media of three different types was simulated numerically and statistically with the same one-dimensional distributions and correlation radii. The averaged probabilities of passages of quanta and their angular distributions practically coincide, although the calculations of correlation radii and visualizations of the corresponding brightness fields give slightly distinct results. In the calculations we used the methods of ‘double randomization’ and ‘delta-scattering’ and also statistical nuclear estimates.

Correlation length of the one-dimensional Bose gas

1985 ◽  
Vol 111 (8-9) ◽  
pp. 419-422 ◽  
Author(s):  
N.M. Bogoliubov ◽  
V.E. Korepin
Keyword(s):  
Correlation Length ◽  
Bose Gas ◽  
One Dimensional ◽  
The One

Quasi-one-dimensional distribution of macropores in anodically etched uniaxially stressed silicon plates

2003 ◽  
Vol 29 (3) ◽  
pp. 226-229 ◽  
Author(s):  
V. I. Emel’yanov ◽  
K. I. Eremin ◽  
V. V. Starkov ◽  
E. Yu. Gavrilin
Keyword(s):  
One Dimensional ◽  
Dimensional Distribution ◽  
Stressed Silicon

Radiation of charge moving in one-dimensional fine-scale random medium

1991 ◽  
Vol 34 (7) ◽  
pp. 691-693
Author(s):  
F. G. Bass ◽  
S. I. Khankina
Keyword(s):  
Random Medium ◽  
Fine Scale ◽  
One Dimensional

Simulation on Composite Backscattering from Rough Surface with Target above it

2012 ◽  
Vol 490-495 ◽  
pp. 603-607
Author(s):  
Wei Tian ◽  
Xin Cheng Ren
Keyword(s):  
Rough Surface ◽  
Root Mean Square ◽  
Cross Section ◽  
Correlation Length ◽  
Rectangular Cross Section ◽  
Mean Square ◽  
Method Of Moment ◽  
Backscattering Coefficient ◽  
One Dimensional ◽  
Surface Fluctuation

One-dimensional Gaussion rough surface is simulated and employed by Monte Carlo Method, the composite backscattering from one-dimensional Gaussion rough surface with rectangular cross-section column above it is studied using Method of Moment. The curves of composite backscattering coefficient with scattering angle and frequency of incident wave are simulated by numerical calculation, the influence of the root mean square and the correlation length of rough surface fluctuation, the height between the center of the rectangular cross-section column and the rough surface, the length and the width of the rectangular cross-section column is discussed. The characteristic of the composite back-scatting from one-dimensional Gaussion rough surface with a rectangular cross-section column above it is obtained. The results show that the influences of the root mean square and the correlation length of rough surface fluctuation, the height between the center of the rectangular cross-section column and the rough surface, the width of the rectangular cross-section column on the composite backscattering coefficients are obvious while the influences of the length of the rectangular cross-section column on the complex backscattering coefficient is less.

Deformation of sliding charge density wave in Rb0.3MoO3

2002 ◽  
Vol 12 (9) ◽  
pp. 323-324
Author(s):  
D. Le Bolloc'h ◽  
S. Ravy ◽  
P. Senzier ◽  
C. Pasquier ◽  
C. Detlefs
Keyword(s):  
Charge Density ◽  
Correlation Length ◽  
Charge Density Wave ◽  
Density Wave ◽  
Relaxation Times ◽  
X Ray Diffraction ◽  
Electrical Field ◽  
One Dimensional ◽  
High Q ◽  
The One

The correlation length of the charge density wave ordering in Rb0.3, MoO, has been studied by x-ray diffraction under electric field applied along the one-dimensional axis. The (10, 0.25, -5.5) satellite reflection has been measured in 3D, using high Q-resolution available at the ESRF. Under electrical field, the satellite reaches two stable positions depending on the temperature. It can switch from one to another as a function of the temperature and the current with very long relaxation times ($\rm 10^{th}$ of minutes). After several cycling with T and E, the satellite reflection is found to shift in the 3 main directions. The width of the satellite is reduced by a factor of two in the k-direction and an increase of the transverse correlation length is observed in the two others: the ordered domains look elongated, reaching until 5000 Å in the direction of the applied field and around 1OOO Å, in the perpendicular directions.

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