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The quantum diffusion approach is extended to low energy fusion (capture) reactions of light- and medium-mass nuclei. The dependence of the friction parameter on bombarding energy is taken into account. A simple analytic expression is…

Nuclear Theory · Physics 2020-07-15 V. V. Sargsyan , G. G. Adamian , N. V. Antonenko , H. Lenske

We present the results of nucleosynthesis calculations based on multidimensional (2D and 3D) hydrodynamical simulations of the thermonuclear burning phase in SNIa. The detailed nucleosynthetic yields of our explosion models are calculated…

Astrophysics · Physics 2009-11-10 C. Travaglio , W. Hillebrandt , M. Reinecke , F. -K. Thielemann

The sources of nuclear uncertainties in nova nucleosynthesis have been identified using hydrodynamical nova models. Experimental efforts have followed and significantly reduced those uncertainties. This is important for the evaluation of…

Astrophysics · Physics 2009-06-23 Alain Coc

A practical introduction to stochastic modelling of reaction-diffusion processes is presented. No prior knowledge of stochastic simulations is assumed. The methods are explained using illustrative examples. The article starts with the…

Subcellular Processes · Quantitative Biology 2007-11-19 Radek Erban , Jonathan Chapman , Philip Maini

We start from the QED Lagrangian to describe a charged many-particle system coupled to the radiation field. A covariant density matrix approach to kinetic theory of QED plasmas, subjected to a strong external electro-magnetic field has…

Quantum Physics · Physics 2009-11-07 A. Hoell , V. G. Morozov , G. Roepke

We analyze in details the standard Primordial Nucleosynthesis scenario. In particular we discuss the key theoretical issues which are involved in a detailed prediction of light nuclide abundances, as the weak reaction rates, neutrino…

Astrophysics · Physics 2018-03-23 P. D. Serpico , S. Esposito , F. Iocco , G. Mangano , G. Miele , O. Pisanti

Stochastic reaction-diffusion processes may be presented in terms of integrable quantum chains and can be used to describe various biological and chemical systems. Exploiting the integrability of the models one finds in some cases good…

Condensed Matter · Physics 2007-05-23 Gunter M. Schütz

A class of hyperbolic reaction--diffusion models with cross-diffusion is derived within the context of Extended Thermodynamics. Linear stability analysis is performed to study the nature of the equilibrium states against uniform and…

Pattern Formation and Solitons · Physics 2020-06-12 Carmela Currò , Giovanna Valenti

Type I X-ray bursts are violent stellar events that take place on the H/He-rich envelopes of accreting neutron stars. We have investigated the role played by uncertainties in nuclear processes on the nucleosynthesis accompanying these…

Astrophysics · Physics 2009-11-13 Anuj Parikh , Jordi Jose , Fermin Moreno , Christian Iliadis

Nucleosynthesis in Type I X-ray bursts may involve up to several thousand nuclear processes. The majority of these processes have only been determined theoretically due to the lack of sufficient experimental information. Accurate reaction…

Astrophysics · Physics 2009-11-13 A. Parikh , J. Jose , C. Iliadis , F. Moreno , T. Rauscher

Reliable predictions of the static and dynamic properties of a nucleus require a fully microscopic description of both ground and excited states of this complicated many-body quantum system. Predictive calculations are key to understanding…

Nuclear Theory · Physics 2022-10-19 Emanuel V. Chimanski , Eun Jin In , Jutta E. Escher , Sophie Péru , Walid Younes

On the basis of the proposed algorithm for calculation of the hadron reaction rates, the space-time structure of the relativistic nucleus-nucleus collisions is studied. The reaction zones and the reaction frequencies for various types of…

Nuclear Theory · Physics 2013-07-02 D. Anchishkin , V. Vovchenko , S. Yezhov

Preliminary results of a new set of stellar evolution and nucleosynthesis calculations for massive stars are presented. These results were obtained with an extended reaction network up to Bi. The discussion focuses on the importance of…

Nuclear Theory · Physics 2017-08-23 T. Rauscher , R. D. Hoffman , A. Heger , S. E. Woosley

Type Ia supernovae are associated with thermonuclear explosions of white dwarf stars. Combustion processes convert material in nuclear reactions and release the energy required to explode the stars. At the same time, they produce the…

Solar and Stellar Astrophysics · Physics 2018-04-25 Friedrich K. Roepke

The relativistic quasiparticle time-blocking approximation (RQTBA) is applied to the description of nuclear excitation modes of astrophysical interest. This method is based on the meson-nucleon Lagrangian and goes beyond the standard…

Nuclear Theory · Physics 2018-01-17 Caroline Robin , Elena Litvinova

We study the efficiency and sensitivity of r-process nucleosynthesis to 18 light-element nuclear reaction rates. We adopt empirical power-law relations to parameterize the reaction sensitivities. We utilize two different hydrodynamic models…

Astrophysics · Physics 2016-08-30 T. Sasaqui , T. Kajino , G. J. Mathews , K. Otsuki , K. Nakamura

Many mathematical models for biological phenomena, such as the spread of diseases, are based on reaction-diffusion equations for densities of interacting cell populations. We present a consistent derivation of reaction-diffusion equations…

Analysis of PDEs · Mathematics 2026-02-23 Marzia Bisi , Davide Cusseddu , Ana Jacinta Soares , Romina Travaglini

Stochastic reaction-diffusion models are employed to represent many complex physical, biological, societal, and ecological systems. The macroscopic reaction rates describing the large-scale kinetics in such systems are effective,…

Biological Physics · Physics 2024-07-22 Mohamed Swailem , Uwe C. Täuber

In rapid neutron capture, or r-process, nucleosynthesis, heavy elements are built up via a sequence of neutron captures and beta decays that involves thousands of nuclei far from stability. Though we understand the basics of how the…

Nuclear Theory · Physics 2015-06-17 R. Surman , M. Mumpower , J. Cass , I. Bentley , A. Aprahamian , G. C. McLaughlin

As theoretical knowledge and experimental verification of nuclear cross sections increases it becomes possible to refine analytic representations for nuclear reaction rates. In this paper mathematical/statistical techniques for deriving…

Astrophysics · Physics 2009-10-22 W. J. Anderson , H. J. Haubold , A. M. Mathai