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The theoretical cross section calculations for the astrophysical $p$ process are needed because the most of the related reactions are technically very difficult to be measured in the laboratory. Even if the reaction was measured, most of…

Nuclear Theory · Physics 2017-04-04 C. Yalcin

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 Short-Time approximation is a method introduced to evaluate electroweak nuclear response for systems with $A\geq12$, extending the reach of first-principle many-body Quantum Monte Carlo calculations. Using realistic two- and three-body…

Quantum Monte Carlo methods find fruitful application in large shell model problems. These methods reduce the imaginary-time many-body evolution operator to a coherent superposition of one-body evolutions in a fluctuating one-body field;…

Nuclear Theory · Physics 2008-02-03 S. E. Koonin

The astrophysical rapid neutron capture process or `$r$ process' of nucleosynthesis is believed to be responsible for the production of approximately half the heavy element abundances found in nature. This multifaceted problem remains one…

Nuclear Theory · Physics 2016-01-20 M. R. Mumpower , R. Surman , G. C. McLaughlin , A. Aprahamian

The interplay between stochastic chemical reactions and diffusion can generate rich spatiotemporal patterns. While the timescale for individual reaction or diffusion events may be very fast, the timescales for organization can be much…

Statistical Mechanics · Physics 2023-12-12 Schuyler B. Nicholson , Todd R. Gingrich

Finding optimal reaction coordinates and predicting accurate kinetic rates for activated processes are two of the foremost challenges of molecular simulations. We introduce an algorithm that tackles the two problems at once: starting from a…

Statistical Mechanics · Physics 2023-10-30 Line Mouaffac , Karen Palacio-Rodriguez , Fabio Pietrucci

Reaction networks are often used to model interacting species in fields such as biochemistry and ecology. When the counts of the species are sufficiently large, the dynamics of their concentrations are typically modeled via a system of…

Numerical Analysis · Mathematics 2022-01-05 David F. Anderson , Kurt W. Ehlert

The problem of determining the effects of the surrounding plasma on nuclear reaction rates in stars is formulated ab initio, using the techniques of quantum statistical mechanics. We derive a result that expresses the complete effects of…

Astrophysics · Physics 2008-11-26 Lowell S. Brown , R. F. Sawyer

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

A generalized method to calculate the excitation-energy dependent parity ratio in the nuclear level density is presented, using the assumption of Poisson distributed independent quasi particles combined with BCS occupation numbers. It is…

The photodisintegration cross sections for the 94Mo({\gamma},n) and 90Zr({\gamma},n) reactions have been experimentally investigated with quasi-monochromatic photon beams at the High Intensity {\gamma}-ray Source (HI{\gamma}S) facility of…

Nuclear Experiment · Physics 2019-02-20 A. Banu , E. G. Meekins , J. A. Silano , H. J. Karwowski , S. Goriely

STARLIB is a next-generation, all-purpose nuclear reaction-rate library. For the first time, this library provides the rate probability density at all temperature grid points for convenient implementation in models of stellar phenomena. The…

Solar and Stellar Astrophysics · Physics 2013-07-11 A. L. Sallaska , C. Iliadis , A. E. Champagne , S. Goriely , S. Starrfield , F. X. Timmes

Microscopic calculations show a strong parity dependence of the nuclear level density at low excitation energy of a nucleus. Previously, this dependence has either been neglected or only implemented in the initial and final channels of…

We present a nucleosynthesis calculation of a 25 solar mass star of solar composition that includes all relevant isotopes up to polonium. In particular, all stable isotopes and necessary nuclear reaction rates are covered. We follow the…

Astrophysics · Physics 2015-06-24 A. Heger , S. E. Woosley , T. Rauscher , R. D. Hoffman , M. M. Boyes

The $p$ process nucleosynthesis is responsible for the synthesis of 35 neutron-deficient nuclei from $^{35}$Se to $^{196}$Hg. An important input that can affect the modeling of this process is the nuclear level density at the relevant…

Nuclear Theory · Physics 2024-02-20 A. Chalil , C. Ducoin , O. Stézowski , N. Millard-Pinard , J. Dudouet , Y. Demane , M. Chamseddine

Rare isotopes are most often studied through nuclear reactions. Nuclear reactions can be used to obtain detailed structure information but also in connection to astrophysics to determine specific capture rates. In order to extract the…

We investigate the sensitivity of calcium production to nuclear reaction rates of a 40 solar-mass Population III star using 1D multi-zone stellar models. A comprehensive nuclear reaction network was constructed, and all $(p,\gamma)$ and…

The consistent and computationally efficient stochastic statistical approach (SSA) is suggested to study kinetics of nucleation and evolution of nano-sized precipitates in alloys. An important parameter of the theory is the size of locally…

Statistical Mechanics · Physics 2010-01-11 K. Yu. Khromov , F. Soisson , A. Yu. Stroev , V. G. Vaks

A method for computing the thermopower in interacting systems is proposed. This approach, which relies on Monte Carlo simulations, is illustrated first for a diatomic chain of hard-point elastically colliding particles and then in the case…

Statistical Mechanics · Physics 2015-10-01 Shunda Chen , Jiao Wang , Giulio Casati , Giuliano Benenti