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We present a non-Markovian quantum jump approach for simulating coherent energy transfer dynamics in molecular systems in the presence of laser fields. By combining a coherent modified Redfield theory (CMRT) and a non-Markovian quantum jump…

Quantum Physics · Physics 2014-05-20 Qing Ai , Yuan-Jia Fan , Bih-Yaw Jin , Yuan-Chung Cheng

A normalizing flow (NF) is a mapping that transforms a chosen probability distribution to a normal distribution. Such flows are a common technique used for data generation and density estimation in machine learning and data science. The…

Optimization and Control · Mathematics 2022-12-01 Alexander Vidal , Samy Wu Fung , Luis Tenorio , Stanley Osher , Levon Nurbekyan

Radiative transfer plays a major role in high-energy astrophysics. In multiple scenarios and in a broad range of energy scales, the coupling between matter and radiation is essential to understand the interplay between theory, observations…

High Energy Astrophysical Phenomena · Physics 2022-12-28 Jose López-Miralles , Jose María Martí , Manel Perucho

We present a numerical method for solving the time-independent thermal radiative transfer (TRT) equation or the neutron transport (NT) equation when the opacity or cross-section varies rapidly in energy (frequency). The approach is based on…

Numerical Analysis · Mathematics 2016-12-21 T. S. Haut , C. Ahrens , A. Jonko , R. Lowrie , A. Till

The thermal radiative transfer equations model temperature evolution through a background medium as a result of radiation. When a large number of particles are absorbed in a short time scale, the dynamics tend to a non-linear diffusion-type…

Numerical Analysis · Mathematics 2025-03-03 Chinmay Patwardhan , Martin Frank , Jonas Kusch

The computational efficiency and rapid convergence of fast Fourier transform (FFT)-based solvers render them a powerful numerical tool for periodic cell problems in multiscale modeling. On regular grids, they tend to outperform traditional…

Numerical Analysis · Mathematics 2026-02-18 Martin Ladecký , Ivana Pultarová , François Bignonnet , Indre Jödicke , Jan Zeman , Lars Pastewka

In this work we investigate replacing standard quadrature techniques used in deterministic linear solvers with a fixed-seed Quasi-Monte Carlo calculation to obtain more accurate and efficient solutions to the neutron transport equation…

Computational Physics · Physics 2022-09-07 Sam Pasmann , Ilham Variansyah , C. T. Kelley , Ryan McClarren

Aims. We present MCFOST-art, a new non-local thermodynamic equilibrium radiative transfer solver for multilevel atomic systems. The code is embedded in the 3D radiative transfer code MCFOST and is compatible with most of the MCFOST modules.…

Solar and Stellar Astrophysics · Physics 2021-03-03 B. Tessore , C. Pinte , J. Bouvier , F. Ménard

We consider in this contribution a simplified idealized one-dimensional model in a nuclear core reactor coupling the diffusion equation on the neutron flux withthe enthalpy equation for the water which collects the heat produced by this…

Numerical Analysis · Mathematics 2025-03-11 Olivier Lafitte , François Dubois

Motivated by the Jaynes-Cummings (JC) model, we consider here a quantum dot coupled simultaneously to a reservoir of photons and to two electric leads (free-fermion reservoirs). This Jaynes-Cummings-Leads (JCL) model makes possible that the…

Mathematical Physics · Physics 2013-12-18 Hagen Neidhardt , Lukas Wilhelm , Valentin Zagrebnov

The dominant site(s) of the $r$-process are a subject of current debate. Ejecta from $r$-process enrichment events like kilonovae are difficult to directly measure, so we must instead probe abundances in metal-poor stars to constrain…

Solar and Stellar Astrophysics · Physics 2025-11-17 John D. Dixon , Rana Ezzeddine , Yangyang Li , Thibault Merle , Manuel Bautista , Yanjun Guo

A direct numerical algorithm for solving the time-nonlocal non-Markovian master equation in the second Born approximation is introduced and the range of utility of this approximation, and of the Markov approximation, is analyzed for the…

Chemical Physics · Physics 2011-06-30 Navinder Singh , Paul Brumer

This work presents a set of preconditioning strategies able to significantly accelerate the performance of fully implicit energy-conserving Particle-in-Cell methods to a level that becomes competitive with semi-implicit methods. We compare…

Computational Physics · Physics 2018-06-13 Lorenzo Siddi , Emanuele Cazzola , Giovanni Lapenta

The non-local thermodynamical equilibrium (NLTE) line formation of Y I and Y II is considered in 1D LTE model atmospheres of F-G-K-type stars. The model atom was constructed with the most up-to-date atomic data, including quantum cross…

Solar and Stellar Astrophysics · Physics 2023-09-06 Sofya Alexeeva , Yu Wang , Gang Zhao , Feng Wang , Yong Wu , Jianguo Wang , Hongliang Yan , Jianrong Shi

We present a general formalism for computing self-consistent, numerical solutions to the time-dependent radiative transfer equation in low velocity, multi-level ions undergoing radiative interactions. Recent studies of time-dependent…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Matthew van Adelsberg , Rosalba Perna

We present a new approach to analyze homogeneous nucleation based on non-equilibrium thermodynamics. The starting point is the formulation of a Gibbs equation for the variations of the entropy of the system, whose state is characterized by…

Condensed Matter · Physics 2007-05-23 D. Reguera Lopez , J. M. Rubi , A. Perez-Madrid

We construct a generalization of the JIMWLK Hamiltonian, going beyond the eikonal approximation, which governs the high-energy evolution of the scattering between a dilute projectile and a dense target with an arbitrary longitudinal extent…

High Energy Physics - Phenomenology · Physics 2015-06-19 Edmond Iancu

We study the nucleon solution of the relativistic Faddeev equation as a function of density in the framework of a generalized Nambu-Jona-Lasinio model. We truncate the interacting two-body channels to the scalar diquark channel, the…

Nuclear Theory · Physics 2007-05-23 M. C. Birse , J. A. McGovern , S. Pepin , N. R. Walet

Modeling reactive transport in porous media, using a local chemical equilibrium assumption, leads to a system of advection-diffusion PDE's coupled with algebraic equations. When solving this coupled system, the algebraic equations have to…

Numerical Analysis · Mathematics 2009-12-22 Amir Laila , Michel Kern

We present atmospheric parameters for 51 nearby FG dwarfs uniformly distributed over the -2.60 < [Fe/H] < +0.20 metallicity range that is suitable for the Galactic chemical evolution research. Lines of iron, Fe I and Fe II, were used to…

Solar and Stellar Astrophysics · Physics 2015-08-06 T. Sitnova , G. Zhao , L. Mashonkina , Y. Q. Chen , F. Liu , Yu. Pakhomov , K. Tan , M. Bolte , S. Alexeeva , F. Grupp , J. -R. Shi , H. -W. Zhang