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Canonical ensemble Monte Carlo calculations have been carried out on spheres with two different length scales. Radial distribution functions at various temperatures and densities were computed and compared. Preliminary results indicate that…

Statistical Mechanics · Physics 2007-05-23 E. V. R. Chan

The cross section of atomic electron Compton scattering $\gamma + e \rightarrow \gamma^\prime + e^\prime $ was measured in the 4.40--5.475 GeV photon beam energy region by the {\em PrimEx} collaboration at Jefferson Lab with an accuracy of…

We report multipronged progress on the stochastic averaging approach to numerical analytic continuation of quantum Monte Carlo data. With the sampled spectrum parametrized with delta-functions in continuous frequency space, a calculation of…

Strongly Correlated Electrons · Physics 2023-01-11 Hui Shao , Anders W. Sandvik

In this paper, a Monte Carlo based approach for the quantification of the importance of the scattering input parameters with respect to the failure probability is presented. Using the basic idea of the alpha-factors of the First Order…

Computation · Statistics 2024-08-14 Thomas Most

We investigated the effects of the momentum spread of photon around incoming electrons during nonlinear Compton scattering of an elliptically polarized laser off an ultrarelativistic electron beam. It has been assumed to be a good…

High Energy Physics - Phenomenology · Physics 2023-04-13 Ya-Nan Dai , Jing-Jing Jiang , Yu-Hang Jiang , Rashid Shaisultanov , Yue-Yue Chen

The use of the Monte Carlo technique in a reliable and inexpensive way without the need for a standard radioactive source in determining the detector efficiency is becoming widespread every passing day. It is important to model the detector…

Instrumentation and Detectors · Physics 2023-01-18 Esra Uyar , Zeynep Aybüke Günekbay

The main purpose of scattering experiments is to unveil the underlying structure of the colliding particles and their interaction. Typically one measures scattering observables (cross sections and polarizations) at discrete angles and…

Nuclear Theory · Physics 2017-12-01 Enrique Ruiz Arriola , Jose Enrique Amaro , Rodrigo Navarro Perez

We investigate ways of accurately simulating the propagation of energetic charged particles over small times where the standard Monte Carlo approximation to diffusive transport breaks down. We find that a small-angle scattering procedure…

Astrophysics · Physics 2009-11-07 R. J. Protheroe , A. Meli , A. -C Donea

We calculate cross sections for low energy elastic exciton-exciton scattering within the effective mass approximation. Unlike previous theoretical approaches, we give a complete, non-perturbative treatment of the four-particle scattering…

Condensed Matter · Physics 2010-07-28 J. Shumway , D. M. Ceperley

We consider quantile estimation using Markov chain Monte Carlo and establish conditions under which the sampling distribution of the Monte Carlo error is approximately Normal. Further, we investigate techniques to estimate the associated…

Statistics Theory · Mathematics 2018-04-20 Charles Doss , James M. Flegal , Galin L. Jones , Ronald C. Neath

A novel method for extracting physical parameters from experimental and simulation data is presented. The method is based on statistical concepts and it relies on Monte Carlo simulation techniques. It identifies and determines with maximal…

High Energy Physics - Phenomenology · Physics 2012-05-31 C. N. Papanicolas , E. Stiliaris

We study time harmonic acoustic scattering on large deviation rough random scatterers. Therein, the roughness of the scatterers is caused by a low Sobolev regularity in the covariance function of their deformation field. The motivation for…

Numerical Analysis · Mathematics 2023-11-22 Jürgen Dölz , Wei Huang , Michael Multerer

Contemporary scientific studies often rely on the understanding of complex quantum systems via computer simulation. This paper initiates the statistical study of quantum simulation and proposes a Monte Carlo method for estimating…

Applications · Statistics 2011-08-04 Yazhen Wang

This work addresses the problem of estimating the parameters of the general half-normal distribution. Namely, the problem of determining the minimum risk equi\-va\-riant (MRE) estimators of the parameters is explored. Simulation studies are…

Methodology · Statistics 2021-10-28 A. G. Nogales , P. Pérez , P. Monfort

We describe Monte Carlo methods for estimating lower envelopes of expectations of real random variables. We prove that the estimation bias is negative and that its absolute value shrinks with increasing sample size. We discuss fairly…

Probability · Mathematics 2019-09-02 Arne Decadt , Gert de Cooman , Jasper De Bock

This paper studies the use of a machine learning-based estimator as a control variate for mitigating the variance of Monte Carlo sampling. Specifically, we seek to uncover the key factors that influence the efficiency of control variates in…

Statistics Theory · Mathematics 2023-05-29 Jose Blanchet , Haoxuan Chen , Yiping Lu , Lexing Ying

We use the Monte Carlo method to study the two types of devices used in the technique of single electron spectroscopy and get the C-V curve and I-V curve of them. The results compare well to approximate analytical expressions. Furthermore,…

Mesoscale and Nanoscale Physics · Physics 2013-09-17 Sheng Wang

We present a numerical method and computer code to calculate the radiative transfer and excitation of molecular lines. Formulating the Monte Carlo method from the viewpoint of cells rather than photons allows us to separate local and…

Astrophysics · Physics 2007-05-23 Michiel R. Hogerheijde , Floris F. S. van der Tak

Recently, a Monte Carlo method has been presented which allows for the form-free retrieval of size distributions from isotropic scattering patterns, complete with uncertainty estimates linked to the data quality. Here, we present an…

Data Analysis, Statistics and Probability · Physics 2013-03-13 Brian R. Pauw , Masato Ohnuma , Kenji Sakurai , Enno A. Klop

Astrophysical polarization measurements in the soft gamma-ray band are becoming more feasible as detectors with high position and energy resolution are deployed. Previous work has shown that the minimum detectable polarization (MDP) of an…