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A self-contained and tutorial presentation of the diffusion Monte Carlo method for determining the ground state energy and wave function of quantum systems is provided. First, the theoretical basis of the method is derived and then a…

Computational Physics · Physics 2009-10-30 Ioan Kosztin , Byron Faber , Klaus Schulten

Monte Carlo simulations of layered BSCCO samples are used to investigate the behavior of vortex matter at low fields, particularly in connection with the possible occurrence of a Bragg glass (BrG) phase at low density of columnar defects, a…

Superconductivity · Physics 2017-02-01 L. M. Queiroz , M. D. Coutinho-Filho

We obtain exact results for the acceptance ratio and mean squared displacement in Monte Carlo simulations of the simple harmonic oscillator in $D$ dimensions. When the trial displacement is made uniformly in the radius, we demonstrate that…

Statistical Mechanics · Physics 2009-11-10 J. Talbot , G. Tarjus , P. Viot

We study the static and dynamic properties of bromine electrosorption onto single-crystal silver (100) electrodes by Monte Carlo simulation. At room temperature the system displays a second-order phase transition between a low-coverage…

Materials Science · Physics 2009-10-31 S. J. Mitchell , G. Brown , P. A. Rikvold

We consider a quantum system coupled to a dissipative background with many degrees of freedom using the Monte Carlo Wave Function method. Instead of dealing with a density matrix which can be very high-dimensional, the method consists of…

Quantum Physics · Physics 2009-11-07 S. C. Badescu , S. C. Ying , T. Ala-Nissila

Quantum mechanics for many-body systems may be reduced to the evaluation of integrals in 3N dimensions using Monte-Carlo, providing the Quantum Monte Carlo ab initio methods. Here we limit ourselves to expectation values for trial…

Computational Physics · Physics 2010-11-22 John Robert Trail , Ryo Maezono

Accurate numerical solution of the five-body Schrodinger equation is effected via variational Monte Carlo. The spectrum is assumed to exhibit a narrow resonance with strangeness S=+1. A fully antisymmetrized and pair-correlated five-quark…

Nuclear Theory · Physics 2014-11-18 Mark W. Paris

We present a Monte Carlo method for simulating the inception of electric discharges in gases. The input consists of an unstructured grid containing the electrostatic field. The output of the model is the estimated probability of discharge…

Plasma Physics · Physics 2026-05-25 Jannis Teunissen , Yuting Gao

In Paper by Titarchuk & Shrader the general formulation and results for photon reprocessing (downscattering) that included recoil and Comptonization effects due to divergence of the flow were presented. Here we show the Monte Carlo (MC)…

Astrophysics · Physics 2008-11-26 Philippe Laurent , Lev Titarchuk

A three dimensional parallel Monte Carlo (MC) dust radiative transfer code is presented. To overcome the huge computing time requirements of MC treatments, the computational power of vectorized hardware is used, utilizing either multi-core…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Frank Heymann , Ralf Siebenmorgen

A statistical method is derived for the calculation of thermodynamic properties of many-body systems at low temperatures. This method is based on the self-healing diffusion Monte Carlo method for complex functions [F. A. Reboredo J. Chem.…

Other Condensed Matter · Physics 2014-03-05 Fernando A. Reboredo , Jeongnim Kim

We present a self-consistent representation of the atmosphere and implement the interactions of light with the atmosphere using a photon Monte Carlo approach. We compile global climate distributions based on historical data, self-consistent…

Instrumentation and Methods for Astrophysics · Physics 2024-03-26 J. R. Peterson , G. Sembroski , A. Dutta , C. Remacaldo

While recent work towards the development of tight-binding and ab-initio algorithms has focused on molecular dynamics, Monte Carlo methods can often lead to better results with relatively little effort. We present here a multi-step Monte…

Statistical Mechanics · Physics 2009-10-31 Parthapratim Biswas , G. T. Barkema , Normand Mousseau , W. F. van der Weg

Monte carlo simulation of paths of a large number of impinging electrons in a multi-layered solid allows to define area of spreading electrons (A) to capture overall behavior of the solid. This parameter 'A' follows power law with electron…

Mesoscale and Nanoscale Physics · Physics 2016-01-11 Moirangthem Shubhakanta Singh , R. K. Brojen Singh

This paper investigates a novel a-posteriori variance reduction approach in Monte Carlo image synthesis. Unlike most established methods based on lateral filtering in the image space, our proposition is to produce the best possible estimate…

Graphics · Computer Science 2019-06-04 Oskar Elek , Manu M. Thomas , Angus Forbes

Propagation of charged cosmic-rays in the Galaxy depends on the transport parameters, whose number can be large depending on the propagation model under scrutiny. A standard approach for determining these parameters is a manual scan,…

Astrophysics · Physics 2009-05-13 A. Putze , L. Derome , D. Maurin , L. Perotto , R. Taillet

Diffusion of ions through a fluctuating polymeric host is studied both by Monte Carlo simulation of the complete system dynamics and by dynamic bond percolation (DBP) theory. Comparison of both methods suggests a multiscale-like approach…

Condensed Matter · Physics 2007-05-23 O. Durr , W. Dieterich , A. Nitzan

This write-up describes an efficient numerical method for the Monte Carlo calculation of the spectral density of current in the multi-junction single-electron devices and hopping structures. In future we plan to expand this write-up into a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Viktor A. Sverdlov , Yusuf A. Kinkhabwala , Alexander N. Korotkov

We present a novel way of performing kinetic Monte Carlo simulations which does not require an {\it a priori} list of diffusion processes and their associated energetics and reaction rates. Rather, at any time during the simulation,…

Materials Science · Physics 2009-11-11 Oleg Trushin , Altaf Karim , Abdelkader Kara , Talat S. Rahman

In a recent paper [J. Chem. Phys. 127, 154701 (2007)], a multiscale approach was introduced which allowed the calculation of adsorption/desorption hysteresis for fluid confined in a single

Statistical Mechanics · Physics 2022-02-11 Joël Puibasset
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