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A new method based on a Reverse Monte Carlo [RMC] technique and aimed at the inverse problem in the analysis of interstellar (intergalactic) absorption lines is presented. The line formation process in chaotic media with a finite…

Astrophysics · Physics 2022-03-23 S. A. Levshakov , W. H. Kegel , F. Takahara

An indirect, hybrid Monte Carlo discretization of general relativistic kinetic theory suitable for the development of numerical schemes for radiation transport is presented. The discretization is based on surface flux estimators obtained…

Astrophysics · Physics 2012-12-12 Burkhard Zink

We introduce a general Monte Carlo method based on Nested Sampling (NS), for sampling complex probability distributions and estimating the normalising constant. The method uses one or more particles, which explore a mixture of nested…

Computation · Statistics 2012-02-27 Brendon J. Brewer , Livia B. Pártay , Gábor Csányi

We present a set of new numerical methods that are relevant to calculating radiation pressure terms in hydrodynamics calculations, with a particular focus on massive star formation. The radiation force is determined from a Monte Carlo…

Solar and Stellar Astrophysics · Physics 2015-06-23 Tim J. Harries

Using coherent x-ray scattering, we evidenced atomic step roughness at the [111] vicinal surface of a silicon monocrystal of 0.05 degree miscut. Close to the (1/2 1/2 1/2) anti-Bragg position of the reciprocal space which is particularly…

Materials Science · Physics 2009-08-12 F. Livet , G. Beutier , M. de Boissieu , S. Ravy , F. Picca , D. Le Bolloc'h , V. Jacques

A procedure for unfolding the true distribution from experimental data is presented. Machine learning methods are applied for simultaneous identification of an apparatus function and solving of an inverse problem. A priori information about…

Data Analysis, Statistics and Probability · Physics 2011-05-26 Nikolai Gagunashvili

We discuss multivariate Monte Carlo methods appropriate for X-ray dispersive spectrometers. Dispersive spectrometers have many advantages for high resolution spectroscopy in the X-ray band. Analysis of data from these instruments is…

Astrophysics · Physics 2007-05-23 J. R. Peterson , J. G. Jernigan , S. M. Kahn

The propagation of light in a resonant atomic vapor can \textit{a priori} be thought of as a multiple scattering process, in which each scattering event redistributes both the direction and the frequency of the photons. Particularly, the…

Many applications require recovering the geometry information of multiple elastic particles based on the scattering information. In this paper, we consider the inverse time-harmonic elastic scattering of multiple rigid particles in three…

Mathematical Physics · Physics 2022-09-21 Jun Lai , Jinrui Zhang

We report on ultrafast electron diffraction on high quality single crystal silicon. The ultrafast dynamics of the Bragg peaks exhibits a giant photo-induced response which can only be explained in the framework of dynamical diffraction…

A high-accuracy solution of the diffraction problem has become necessary for the treatment of certain special questions of statistical physics. This article reports the creation of a computer program that serves as an instrumental method of…

Optics · Physics 2013-08-30 Vladimir V. Savukov , Igor V. Golubenko

This paper presents the analysis and characterization of the surface scattering process for both specular and diffused components. The study is focused on the investigation of various building materials each having a different roughness, at…

Signal Processing · Electrical Eng. & Systems 2017-10-17 Angelos A. Goulianos , Alberto L. Freire , Tom Barratt , Evangelos Mellios , Peter Cain , Moray Rumney , Andrew Nix , Mark Beach

Due to its constrained support, the Dirichlet distribution is uniquely suited to many applications. The constraints that make it powerful, however, can also hinder practical implementations, particularly those utilizing Markov Chain Monte…

Data Analysis, Statistics and Probability · Physics 2015-03-02 M. J. Betancourt

Reverse Monte Carlo modeling of liquid water, based on one neutron and one X-ray diffraction data set, applying also the most popular interatomic potential for water, SPC/E, has been performed. The strictly rigid geometry of SPC/E water…

Soft Condensed Matter · Physics 2017-02-16 Ildikó Pethes , László Pusztai

Recently, a diffusion Monte Carlo algorithm was applied to the study of spin dependent interactions in condensed matter. Following some of the ideas presented therein, and applied to a Hamiltonian containing a Rashba-like interaction, a…

Strongly Correlated Electrons · Physics 2015-05-27 Alberto Ambrosetti , Pier Luigi Silvestrelli , Flavio Toigo , Lubos Mitas , Francesco Pederiva

We consider the scattering of neutrons and photons on solid volume rectangular targets. It is common to treat this problem using the Maxwell Boltzmann Transport Equation and to use underlying symmetries to simplify the calculation. For…

Computational Physics · Physics 2017-12-27 Eric V. Steinfelds , Keith Andrew

Photon transport through a diffusing slab can be described by the radiative transfer equation (RTE). When the slab is highly scattering and weakly absorbing, the RTE simplifies to the diffusion equation. In this paper, an inverse diffusion…

We describe a new, biased Monte Carlo scheme to determine the crystal structures of zeolites from powder diffraction data. We test the method on all publicly known zeolite materials, with success in all cases. We show that the method of…

Statistical Mechanics · Physics 2009-10-31 Marco Falcioni , Michael W. Deem

The quasi-channeling of positive and negative relativistic particles in a bent crystal is studied using the classical deflection function. It was shown that the potential scattering in a central field of bounded ring-like potentials may…

Accelerator Physics · Physics 2009-12-10 Gennady V. Kovalev

We present a measurement protocol and a data reduction workflow for obtaining single-crystal X-ray total-scattering datasets that capture both Bragg-peak and diffuse scattering intensities on an absolute (electrons2/atom) scale. We further…

Materials Science · Physics 2025-09-23 S. Gorfman , M. Eremenko , V. Krayzman , A. Bosak , P. Y. Zavalij , I. Levin