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Path integral Monte Carlo approach is used to study the coupled quantum dynamics of the electron and nuclei in hydrogen molecule ion. The coupling effects are demonstrated by comparing differences in adiabatic Born--Oppenheimer and…

Chemical Physics · Physics 2008-12-29 I. Kylänpää , M. Leino , T. T. Rantala

We present a new fast algorithm which allows the simulation of ionising radiation emitted from point sources to be included in high-resolution three-dimensional smoothed particle hydrodynamics simulations of star cluster formation. We…

Astrophysics · Physics 2015-05-13 James Dale , Barbara Ercolano , Cathie Clarke

This is the first in a series of papers on the construction and validation of a three-dimensional code for general relativistic hydrodynamics, and its application to general relativistic astrophysics. This paper studies the consistency and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. A. Font , M. Miller , W. Suen , M. Tobias

This work describes methodologies to successfully implement the Implicit Monte Carlo (IMC) scheme for thermal radiative transfer in reduced-precision floating-point arithmetic. The methods used can be broadly categorized into scaling…

Computational Physics · Physics 2025-10-27 Simon Butson , Mathew Cleveland , Alex Long , Todd Palmer

A discrete multistate kinetic model for water-wire proton transport is constructed and analyzed using Monte-Carlo simulations. The model allows for each water molecule to be in one of three states: oxygen lone pairs pointing leftward,…

Soft Condensed Matter · Physics 2009-11-10 Tom Chou

We present a new Monte Carlo method for obtaining solutions of the Boltzmann equation for describing phonon transport in micro and nanoscale devices. The proposed method can resolve arbitrarily small signals (e.g. temperature differences)…

Computational Physics · Physics 2015-05-30 Jean-Philippe Peraud , Nicolas Hadjiconstantinou

We present a geometric multigrid solver for the M1 model of radiative transfer without source terms. In radiative hydrodynamics applications, the radiative transfer needs to be solved implicitly because of the fast propagation speed of…

Numerical Analysis · Mathematics 2022-09-28 Hélène Bloch , Pascal Tremblin , Matthias González , Edouard Audit

Neutrino-matter interactions play an important role in the post-merger evolution of neutron star-neutron star and black hole-neutron star mergers. Most notably, they determine the properties of the bright optical/infrared transients…

High Energy Astrophysical Phenomena · Physics 2018-09-19 Francois Foucart , Matthew D. Duez , Lawerence E. Kidder , Ronny Nguyen , Harald P. Pfeiffer , Mark A. Scheel

We derive, by introducing restrictions to the lesser self energy, a Monte Carlo scheme that solves the NEGF equations for electron transport. In doing so we formally prove that the Monte Carlo estimator has an expectation value equal to the…

Computational Physics · Physics 2018-05-28 Lars Musland , Espen Flage-Larsen , Joakim Bergli

We describe a module for the Athena code that solves the gray equations of radiation hydrodynamics (RHD), based on the first two moments of the radiative transfer equation. We use a combination of explicit Godunov methods to advance the gas…

Instrumentation and Methods for Astrophysics · Physics 2013-06-06 M. Aaron Skinner , Eve C. Ostriker

Light propagation in turbid media is driven by the equation of radiative transfer. We give a formal probabilistic representation of its solution in the framework of biological tissues and we implement algorithms based on Monte Carlo methods…

Computation · Statistics 2014-10-16 Laura Vinckenbosch , Céline Lacaux , Samy Tindel , Magalie Thomassin , Tiphaine Obara

Monte Carlo methods play important part in modern statistical physics. The application of these methods suffer from two main difficulties.The first is caused by the relatively small number of particles that can participate in any numerical…

Statistical Mechanics · Physics 2007-05-23 A. Brandt , V. Ilyin

We describe a Monte Carlo radiative transport code intended for calculating spectra of hot, optically thin plasmas in full general relativity. The version we describe here is designed to model hot accretion flows in the Kerr metric and…

High Energy Astrophysical Phenomena · Physics 2014-11-20 Joshua C. Dolence , Charles F. Gammie , Monika Moscibrodzka , Po Kin Leung

Radiation hydrodynamical transport of ionization fronts in the next generation of cosmological reionization simulations holds the promise of predicting UV escape fractions from first principles as well as investigating the role of…

Astrophysics · Physics 2009-11-11 Daniel J. Whalen , Michael L. Norman

In this work the path integral formulation for rigid rotors, proposed by M\"user and Berne [Phys. Rev. Lett. {\bf 77}, 2638 (1996)], is described in detail. It is shown how this formulation can be used to perform Monte Carlo simulations of…

Statistical Mechanics · Physics 2012-11-08 Eva G. Noya , Luis M. Sesé , Rafael Ramírez , Carl McBride , Maria M. Conde , Carlos Vega

The emergence of hydrodynamic behavior in electronic flow within clean, particle-hole-symmetric systems at half-filling is a non-trivial problem. Navier-Stokes (NS) equations describe the momentum flow, while experimental measurements…

Mesoscale and Nanoscale Physics · Physics 2025-05-26 Adrien Reingruber , Kitinan Pongsangangan , Fakher Assaad , Maksim Ulybyshev

We present a new version of the fully 3D photoionization and dust radiative transfer code, MOCASSIN, that uses a Monte Carlo approach for the transfer of radiation. The X-ray enabled MOCASSIN allows a fully geometry independent description…

Astrophysics · Physics 2009-11-13 Barbara Ercolano , Peter R. Young , Jeremy J. Drake , John C. Raymond

We present initial attempts to include the multi-dimensional nature of radiation transport in hydrodynamical simulations of the small-scale structure that arises from the line-driven instability in hot-star winds. Compared to previous 1D or…

Astrophysics · Physics 2009-11-10 Luc Dessart , S. P. Owocki

An implicit Lagrangian hydrodynamics code for general relativistic spherical collapse is presented. This scheme is based on an approximate linearized Riemann solver (Roe type scheme). This code is aimed especially at the calculation of the…

Astrophysics · Physics 2009-10-28 Shoichi Yamada

This paper describes a multidimensional hydrodynamic code which can be used for the studies of relativistic astrophysical flows. The code solves the special relativistic hydrodynamic equations as a hyperbolic system of conservation laws…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Orhan Donmez , Refik Kayali