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We present a kinetic Monte Carlo method for simulating chemical transformations specified by reaction rules, which can be viewed as generators of chemical reactions, or equivalently, definitions of reaction classes. A rule identifies the…

Quantitative Methods · Quantitative Biology 2010-07-09 Jin Yang , Michael I. Monine , James R. Faeder , William S. Hlavacek

The nucleosynthesis and other observable consequences of a nova outburst depend sensitively on the details of the thermonuclear runaway which initiates the outburst. One important source of uncertainty in our current models is the nuclear…

We examine Ca abundances in classical novae from spectroscopic observations spanning 65 years and investigate whether they are systematically high compared to those predicted by nova models. For the first time, we perform Monte Carlo…

Solar and Stellar Astrophysics · Physics 2025-11-10 Mallory Loria , Pavel Denissenkov , Chris Ruiz , Falk Herwig

The uncertainty of Compton backscattering process is studied by virtue of analytical formulas, and the special effects of variant energy spread and energy drift on the systematic uncertainty estimation are also studied with Monte Carlo…

High Energy Physics - Phenomenology · Physics 2013-12-13 X. H. Mo

This article reviews our present knowledge of neutrino interactions with nucleons and discusses the interactions with nuclei, the target material of all presently running and planned long-baseline experiments. I emphasize descriptions of…

Nuclear Theory · Physics 2016-11-09 Ulrich Mosel

The nuclear physics input used to compute the Monte Carlo reaction rates and probability density functions that are tabulated in the second paper of this series (Paper II) is presented. Specifically, we publish the input files to the Monte…

Solar and Stellar Astrophysics · Physics 2015-05-18 Christian Iliadis , Richard Longland , Art Champagne , Alain Coc

In nuclear fusion and fission, fluctuation and dissipation arise due to the coupling of collective degrees of freedom with internal excitations. Close to the barrier, both quantum, statistical and non-Markovian effects are expected to be…

Nuclear Theory · Physics 2010-04-06 G. Hupin , D. Lacroix

Many quantum technologies rely on high-precision dynamics, which raises the question of how these are influenced by the experimental uncertainties that are always present in real-life settings. A standard approach in the literature to…

Quantum Physics · Physics 2022-04-27 Mogens Dalgaard , Carrie A. Weidner , Felix Motzoi

Present contribution represents a significant improvement of our previous calculation of Maxwellian-averaged cross sections and astrophysical reaction rates. Addition of newly-evaluated neutron reaction libraries, such as ROSFOND and…

Solar and Stellar Astrophysics · Physics 2011-01-11 Boris Pritychenko

We investigate the effects of thermonuclear reaction rate uncertainties on nova nucleosynthesis. One-zone nucleosynthesis calculations have been performed by adopting temperature-density-time profiles of the hottest hydrogen-burning zone…

Astrophysics · Physics 2009-11-07 Christian Iliadis , Art Champagne , Jordi Jose , Sumner Starrfield , Paul Tupper

We evaluated the uncertainty relevant to s-process nucleosynthesis using a Monte-Carlo centred approach. We are based on a realistic and general prescription of temperature dependent uncertainty for the reactions. We considered massive…

Solar and Stellar Astrophysics · Physics 2017-06-13 N. Nishimura , G. Cescutti , R. Hirschi , T. Rauscher , J. Den Hartogh , A. St. J. Murphy

In Monte Carlo particle transport codes, it is often important to adjust reaction cross sections to reduce the variance of calculations of relatively rare events, in a technique known as non-analogous Monte Carlo. We present the theory and…

Computational Physics · Physics 2011-12-09 Marcus H. Mendenhall , Robert A. Weller

New and more precise measurements of neutrino cross sections have renewed the interest in a better understanding of electroweak interactions on nucleons and nuclei. This effort is crucial to achieve the precision goals of the neutrino…

High Energy Physics - Phenomenology · Physics 2015-06-19 L. Alvarez-Ruso , Y. Hayato , J. Nieves

The quantitative description of the effects of nuclear dynamics on the measured neutrino-nucleus cross sections -- needed to reduce the systematic uncertainty of long baseline neutrino oscillation experiments -- involves severe…

Nuclear Theory · Physics 2015-08-19 Omar Benhar , Noemi Rocco

We have performed for the first time a comprehensive study of the sensitivity of $r$-process nucleosynthesis to individual nuclear masses across the chart of nuclides. Using the latest version (2012) of the Finite-Range Droplet Model, we…

Nuclear Theory · Physics 2015-10-07 M. R. Mumpower , R. Surman , D. -L. Fang , M. Beard , P. Moller , T. Kawano , A. Aprahamian

Uncertainty quantification has become increasingly more prominent in nuclear physics over the past several years. In few-body reaction theory, there are four main sources that contribute to the uncertainties in the calculated observables:…

Nuclear Theory · Physics 2020-12-17 A. E. Lovell , F. M. Nunes , M. Catacora-Rios , G. B. King

Uncertainty quantification (UQ) includes the characterization, integration, and propagation of uncertainties that result from stochastic variations and a lack of knowledge or data in the natural world. Monte Carlo (MC) method is a…

Methodology · Statistics 2020-11-03 Jiaxin Zhang

This work describes the formalism for estimating thermonuclear reaction rates for astrophysical applications, emphasizing modern statistical approaches such as Monte-Carlo sampling and Bayesian models. We discuss related topics including…

Solar and Stellar Astrophysics · Physics 2026-03-11 Christian Iliadis , Richard Longland , Kiana Setoodehnia , Caleb Marshall , Peter Mohr , Athanasios Psaltis

Probabilistic prediction of sequences from images and other high-dimensional data is a key challenge, particularly in risk-sensitive applications. In these settings, it is often desirable to quantify the uncertainty associated with the…

Machine Learning · Computer Science 2024-10-31 Qidong Yang , Weicheng Zhu , Joseph Keslin , Laure Zanna , Tim G. J. Rudner , Carlos Fernandez-Granda

Reaction and elastic differential cross sections are calculated for light nuclei in the framework of the Glauber theory. The optical phase-shift function is evaluated by Monte Carlo integration. This enables us to use the most accurate wave…

Nuclear Theory · Physics 2008-11-26 Kalman Varga , Steven C. Pieper , Y. Suzuki , R. B. Wiringa