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We introduce a Monte Carlo algorithm to efficiently compute transport properties of chaotic dynamical systems. Our method exploits the importance sampling technique that favors trajectories in the tail of the distribution of displacements,…

统计力学 · 物理学 2018-05-25 Diego Tapias , David P. Sanders , Eduardo G. Altmann

This paper presents multilevel hybrid transport (MLHT) methods for solving the neutral-particle Boltzmann transport equation. The proposed MLHT methods are formulated on a sequence of spatial grids using a multilevel Monte Carlo (MLMC)…

数值分析 · 数学 2026-05-12 Vincent N. Novellino , Dmitriy Y. Anistratov

Hamiltonian Monte Carlo is a prominent Markov Chain Monte Carlo algorithm, which employs symplectic integrators to sample from high dimensional target distributions in many applications, such as statistical mechanics, Bayesian statistics…

数值分析 · 数学 2025-02-13 Geoffrey McGregor , Andy T. S. Wan

For emerging applications of hybrid pixel detectors which require high spatial resolution, e.g., subpixel interpolation in X-ray imaging and deep learning-based electron localization, accurate modeling of charge transport processes in the…

Monte Carlo sampling techniques are used to estimate high-dimensional integrals that model the physics of light transport in virtual scenes for computer graphics applications. These methods rely on the law of large numbers to estimate…

图形学 · 计算机科学 2020-02-18 Alexandros D. Keros , Divakaran Divakaran , Kartic Subr

We report on a new capability added to our general relativistic radiation-magnetohydrodynamics code, Cosmos++: an implicit Monte Carlo (IMC) treatment for radiation transport. The method is based on a Fleck-type implicit discretization of…

天体物理仪器与方法 · 物理学 2022-07-27 Nathaniel Roth , Peter Anninos , Peter B. Robinson , J. Luc Peterson , Brooke Polak , Tymothy K. Mangan , Kyle Beyer

We explore Implicit Monte Carlo (IMC) and Discrete Diffusion Monte Carlo (DDMC) for radiation transport in high-velocity outflows with structured opacity. The IMC method is a stochastic computational technique for nonlinear radiation…

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…

A new Monte-Carlo algorithm for calculating time-dependent radiative-transfer under the assumption of LTE is presented. Unlike flux-limited diffusion the method is polychromatic, includes scattering, and is able to treat the optically thick…

太阳与恒星天体物理 · 物理学 2015-05-28 Tim J. Harries

We develop a new Monte Carlo method that solves hyperbolic transport equations with stiff terms, characterized by a (small) scaling parameter. In particular, we focus on systems which lead to a reduced problem of parabolic type in the limit…

数值分析 · 数学 2017-08-01 G. Dimarco , L. Pareschi , G. Samaey

We propose in this work a Monte Carlo method for three dimensional scalar radiative transfer equations with non-integrable, space-dependent scattering kernels. Such kernels typically account for long-range statistical features, and arise…

数值分析 · 数学 2023-07-19 Christophe Gomez , Olivier Pinaud

This work describes a new 1D hybrid approach for modeling atmospheric pressure discharges featuring complex chemistry. In this approach electrons are described fully kinetically using Particle-In-Cell/Monte-Carlo (PIC/MCC) scheme, whereas…

等离子体物理 · 物理学 2016-01-20 Denis Eremin , Torben Hemke , Thomas Mussenbrock

Context: The Monte Carlo method is probably the most widely used approach to solve the radiative transfer problem, especially in a general 3D geometry. The physical processes of emission, absorption, and scattering are easily incorporated…

星系天体物理 · 物理学 2022-10-19 Maarten Baes , Peter Camps , Kosei Matsumoto

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…

天体物理学 · 物理学 2007-05-23 Michiel R. Hogerheijde , Floris F. S. van der Tak

We introduce a Monte Carlo integration-based Shooting and Bouncing Ray (SBR) algorithm for electromagnetic scattering, specifically targeting complex dielectric materials. Unlike traditional deterministic SBR methods, our approach is the…

计算工程、金融与科学 · 计算机科学 2025-11-12 Samuel Audia , Dinesh Manocha , Matthias Zwicker

Continued demand for accurate and computationally efficient transport methods to solve optically thick, fixed-source transport problems has inspired research on variance-reduction (VR) techniques for Monte Carlo (MC). Methods that use…

数值分析 · 计算机科学 2015-02-18 S. C. Wilson , R. N. Slaybaugh

Radiative transfer describes the propagation of electromagnetic radiation through an interacting medium. This process is often simulated by the use of the Monte Carlo method, which involves the probabilistic determination and tracking of…

天体物理仪器与方法 · 物理学 2020-03-31 A. Krieger , S. Wolf

Muon ionization cooling involves passing particles through solid or liquid absorbers. Careful simulations are required to design muon cooling channels. New features have been developed for inclusion in the transfer map code COSY Infinity to…

加速器物理 · 物理学 2018-08-15 Josiah Kunz , Pavel Snopok , Martin Berz , Kyoko Makino

We study the current and shot noise in a linear array of metallic nanoparticles taking explicitly into consideration their discrete electronic spectra. Phonon assisted tunneling and dissipative effects on single nanoparticles are…

介观与纳米尺度物理 · 物理学 2009-11-11 Stefan Semrau , Herbert Schoeller , Wolfgang Wenzel

Hopping transport, characterized by carrier tunneling between localized states, is a key mechanism in disordered materials such as organic semiconductors, perovskites, nitride alloys, and 2D material-based inks. Two main regimes are…

无序系统与神经网络 · 物理学 2026-01-06 Alejandro Toral-Lopez , Damiano Marian , Gianluca Fiori