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We present a very efficient technique for solving the three-dimensional time-dependent Schrodinger equation. Our method is applicable to a wide range of problems where a fullly three-dimensional solution is required, i.e., to cases where no…

Atomic Physics · Physics 2009-11-13 T. K. Kjeldsen , L. A. A. Nikolopoulos , L. B. Madsen

Exact analytic solutions are derived for radiation in time-dependent relativistic flows. The flows are spherically-symmetric homologous explosions or implosions of matter with a grey extinction coefficient. The solutions are suitable for…

Astrophysics · Physics 2009-11-10 L. B. Lucy

We solve spherically symmetric radiation flows under full special relativity with the help of a variable Eddington factor $f(\tau, \beta)$, where $\tau$ is the optical depth and $\beta$ is the flow velocity normalized by the speed of light.…

Astrophysics · Physics 2015-05-13 Chizuru Akizuki , Jun Fukue

We analyze a ultracold fermionic atom system in a three dimensional optical lattice with a confinement harmonic potential, using the Hubbard model, and time-dependent Gutzwiller variational approach for numerical calculation. Our study is…

Quantum Gases · Physics 2014-02-06 Motoyoshi Inoue , Yusuke Nakamura , Yoshiya yamanaka

We describe a numerical model constructed for the study of the emission of radiation from relativistic plasma under conditions characteristic, e.g., to gamma-ray bursts (GRB's) and active galactic nuclei (AGN's). The model solves self…

Astrophysics · Physics 2009-11-10 Asaf Pe'er , Eli Waxman

A new code for evaluation of light absorption and scattering by interstellar dust grains is presented. The radiative transfer problem is solved using ray-tracing algorithm in a self-consistent and highly efficient way. The code demonstrates…

Astrophysics · Physics 2007-05-23 D. Semionov , V. Vansevicius

We present the implementation of quadratic response theory based upon the relativistic equation-of-motion coupled cluster method. We showcase our implementation, whose generality allows us to consider both time-dependent and…

Chemical Physics · Physics 2024-01-29 Xiang Yuan , Loic Halbert , Lucas Visscher , Andre Severo Pereira Gomes

We present results from combining a grid-based radiative transfer code with a Smoothed Particle Hydrodynamics code to produce a flexible system for modelling radiation hydrodynamics. We use a benchmark model of a circumstellar disc to…

Solar and Stellar Astrophysics · Physics 2015-05-14 David M. Acreman , Tim J. Harries , David A. Rundle

We develop a numerical hydrodynamics code using a pseudo-Newtonian formulation that uses the weak field approximation for the geometry, and a generalized source term for the Poisson equation that takes into account relativistic effects. The…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Jinho Kim , Hee Il Kim , Matthew William Choptuik , Hyung Mok Lee

For an accurate treatment of the shock wave propagation in high-energy astrophysical phenomena, such as supernova shock breakouts, gamma-ray bursts and accretion disks, knowledge of radiative transfer plays a crucial role. In this paper we…

High Energy Astrophysical Phenomena · Physics 2016-03-01 Alexey Tolstov , Sergey Blinnikov , Shigehiro Nagataki , Ken'ichi Nomoto

The atmospheres of planets (including Earth) and the outer layers of stars have often been treated in radiative transfer as plane-parallel media, instead of spherical shells, which can lead to inaccuracy, e.g. limb darkening. We give an…

Statistical Mechanics · Physics 2009-11-11 Michael J. Caola

In this work, we prove rigorous error estimates for a hybrid method introduced in [15] for solving the time-dependent radiation transport equation (RTE). The method relies on a splitting of the kinetic distribution function for the…

Numerical Analysis · Mathematics 2023-06-09 Andrés Galindo-Olarte , Victor P. DeCaria , Cory D. Hauck

Some features of the physics of radiation-dominated shock waves are discussed with emphasis on the peculiarities which are important for correct numerical modeling of shock breakouts in supernova. With account of those peculiarities, a…

High Energy Astrophysical Phenomena · Physics 2015-06-12 A. G. Tolstov , S. I. Blinnikov , D. K. Nadyozhin

Absorbing boundary conditions in the form of a complex absorbing potential are routinely introduced in the Schr\"odinger equation to limit the computational domain or to study reactive scattering events using the multi-configurational…

Quantum Physics · Physics 2013-05-29 Simen Kvaal

A revised and greatly improved version of the 3D continuum radiative transfer code MC3D is presented. It is based on the Monte-Carlo method and solves the radiative transfer problem self-consistently. It is designed for the simulation of…

Astrophysics · Physics 2009-11-07 Sebastian Wolf

A first-principles theory of resonant magnetic scattering of x rays is presented. The scattering amplitudes are calculated using a standard time-dependent perturbation theory to second order in the electron-photon interaction vertex. In…

Strongly Correlated Electrons · Physics 2009-11-10 E. Arola , M. Horne , P. Strange , H. Winter , Z. Szotek , W. M. Temmerman

We present a 3D special-relativistic radiation hydrodynamics code. It uses the radiative inversion scheme with the M1-closure relation for the radiation equations, which allows the treatment of a wide range of optical depth, temperature and…

High Energy Astrophysical Phenomena · Physics 2019-04-10 F. J. Rivera-Paleo , F. S. Guzmán

We present an algorithm for two-dimensional radiative transfer in axisymmetric, circumstellar media. The formal integration of the transfer equation is performed by a generalization of the short characteristics (SC) method to spherical…

Astrophysics · Physics 2007-05-23 C. P. Dullemond , R. Turolla

We introduce non-equilibrium molecular hydrogen chemistry into the radiation hydrodynamics code Ramses-RT. This is an adaptive mesh refinement grid code with radiation hydrodynamics that couples the thermal chemistry of hydrogen and helium…

Astrophysics of Galaxies · Physics 2018-09-07 Sarah Nickerson , Romain Teyssier , Joakim Rosdahl

We present a numerical implementation of radiative transfer based on an explicitly photon-conserving advection scheme, where radiative fluxes over the cell interfaces of a structured or unstructured mesh are calculated with a second-order…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Margarita Petkova , Volker Springel
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