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We study the convergence of a sequence of evolution equations for measures supported on the nodes of a graph. The evolution equations themselves can be interpreted as the forward Kolmogorov equations of Markov jump processes, or…

经典分析与常微分方程 · 数学 2020-10-01 Mark A. Peletier , D. R. Michiel Renger

Precise nuclear reaction rates are needed for a detailed description of the production of elements in primordial nucleosynthesis and during the hydrostatic burning of stars to constrain the astrophysical models. The relevant reactions are…

核理论 · 物理学 2009-09-29 C. A. Bertulani

Coupled-channel two-particle systems bound by a harmonic trap are discussed in the present paper. We derive the formula that relates the energy levels of such trapped systems to phase shifts and inelasticity of coupled-channel reactions.…

核理论 · 物理学 2022-05-18 Peng Guo , Bingwei Long

A dynamical formulation of coupled cluster theory is derived using a variational principle. By allowing time-dependent single-particle functions, a high degree of adaptivity is introduced, allowing complex systems to be simulated with high…

量子物理 · 物理学 2014-11-25 Simen Kvaal

Nucleosynthesis processes involve reactions on several thousand nuclei, both close to and far off stability. The preparation of reaction rates to be used in astrophysical investigations requires experimental and theoretical input. In this…

核理论 · 物理学 2009-11-13 T. Rauscher

Most Type I X-ray bursts from accreting neutron stars have a lightcurve with a single peak, but there is a rare population of faint bursts that are double or even triple peaked. Suggested mechanisms include polar ignition with equatorial…

天体物理学 · 物理学 2009-11-13 Anna L. Watts , Immanuel Maurer

A consistent set of statistical-model input parameters, validated by analysis of various independent data, makes possible the assessment of an $\alpha$-particle optical model potential [Phys. Rev. C {\bf 90}, 044612 (2014)] also for…

核理论 · 物理学 2020-09-04 Vlad Avrigeanu , Marilena Avrigeanu

There is a high demand for nuclear data in multidisciplinary subject like nuclear astrophysics. The two areas of nuclear physics which are most clearly related to one another are stellar evolution and nucleosynthesis. The necessity for…

核理论 · 物理学 2025-03-27 Vinay Singh , Debasis Bhowmick , D. N. Basu

The acceleration mechanism at ultrarelativistic shocks is investigated using the Monte Carlo simulations. We apply a method of discrete small amplitude particle momentum scattering to reproduce highly anisotropic conditions at the shock and…

天体物理学 · 物理学 2009-10-31 Janusz Bednarz

The $^{18}$Ne($\alpha$,$p$)$^{21}$Na reaction impacts the break-out from the hot CNO-cycles to the $rp$-process in type I X-ray bursts. We present a revised thermonuclear reaction rate, which is based on the latest experimental data. The…

核理论 · 物理学 2015-05-05 P. Mohr , R. Longland , C. Iliadis

We investigate the acceleration of stationary iterations for multi-term Sylvester equation by means of reduced rank extrapolation (RRE). Theoretical convergence results and implementations are provided for both small and large-scale…

数值分析 · 数学 2026-03-16 Peter Benner , Pascal den Boef , Patrick Kürschner , Xiaobo Liu , Jens Saak

We give an algorithm to compute $N$ steps of a convolution quadrature approximation to a continuous temporal convolution using only $O(N \log N)$ multiplications and $O(\log N)$ active memory. The method does not require evaluations of the…

数值分析 · 数学 2011-11-10 Achim Schädle , María López-Fernández , Christian Lubich

We consider the properties of a hyperaccretion model for gamma-ray bursts (GRBs) at the late time when the mass supply rate is expected to decrease with time. We point out that the region in the vicinity of the accretor and the accretor…

天体物理学 · 物理学 2011-02-11 Daniel Proga , Bing Zhang

Response-adaptive randomization has recently attracted a lot of attention in the literature. In this paper, we propose a new and simple family of response-adaptive randomization procedures that attain the Cramer--Rao lower bounds on the…

统计理论 · 数学 2009-08-25 Feifang Hu , Li-Xin Zhang , Xuming He

Our current understanding of interstellar carbon fractionation hinges on the interpretation of astrochemical kinetic models. Yet, the various reactions included carry large uncertainties in their (estimated) rate coefficients, notably those…

星系天体物理 · 物理学 2021-03-24 C. M. R. Rocha , H. Linnartz

We estimate the impact on the stellar evolution of the uncertainties in the $3\alpha$ and the $^{12}{\rm C}(\alpha,\gamma)^{16}{\rm O}$ reaction rates [...]. We calculated models of low- and intermediate-mass stars for different values of…

太阳与恒星天体物理 · 物理学 2023-10-10 F. Tognini , G. Valle , M. Dell'Omodarme , S. Degl'Innocenti , P. G. Prada Moron

A new model to calculate the rate of nucleation is formulated. This model is based on the classical nucleation theory but considers also vapor depletion around the formed embryo. The key characteristic which arises in frames of this theory…

统计力学 · 物理学 2013-02-21 Victor Kurasov

A theory is presented (and supported by numerical simulations) for phase-coherent reflection of light by a disordered medium which either absorbs or amplifies radiation. The distribution of reflection eigenvalues is shown to be the Laguerre…

凝聚态物理 · 物理学 2007-05-23 C. W. J. Beenakker , J. C. J. Paasschens , P. W. Brouwer

Linear density response functions are calculated for symmetric nuclear matter of normal density by time-evolving two-time Green's functions in real time. The feasability and convenience of this approach to this particular problem has been…

核理论 · 物理学 2017-06-21 H. S. Köhler

In this article, we propose an efficient method for sampling the relevant state space in condensed phase reactions. In the present method, the reaction is described by solving the electronic Schr\"{o}dinger equation for the solute atoms in…

化学物理 · 物理学 2009-11-10 Radu Iftimie , Dennis Salahub , Jeremy Schofield