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We argue that the Maxwellian approximation can essentially underestimate the rates of some nuclear reactions in hot plasma under conditions very close to thermal equilibrium. This phenomenon is demonstrated explicitly on the example of…

Plasma Physics · Physics 2009-11-13 Makoto Nakamura , Victor T. Voronchev , Yasuyuki Nakao

The reactivity of fusion plasma depends not only on its local density and temperature but also, through a recently identified kinetic effect, on the relative velocities of nearby fluid elements. Turbulence on fine spatial scales therefore…

Plasma Physics · Physics 2025-06-17 Henry Fetsch , Nathaniel J. Fisch

Two path integral representations for the $T$-matrix in nonrelativistic potential scattering are derived and proved to produce the complete Born series when expanded to all orders. They are obtained with the help of "phantom" degrees of…

Nuclear Theory · Physics 2009-07-28 R. Rosenfelder

In fusion reactions, the Coulomb barrier selects particles from the high-momentum part of the distribution. Therefore, small variations of the high-momentum tail of the velocity distribution can produce strong effects on fusion rates. In…

Nuclear Theory · Physics 2009-11-11 Massimo Coraddu , Marcello Lissia , Giuseppe Mezzorani , Piero Quarati

We calibrate a (3+1)-dimensional multistage hybrid framework using the measured pseudo-rapidity distribution of charged particles and rapidity distribution of net protons for central Au+Au collisions at $\sqrt{s_{\rm…

Nuclear Theory · Physics 2024-05-09 Lipei Du , Han Gao , Sangyong Jeon , Charles Gale

The search for pathways that optimize the formation of a particular target molecule in a reaction network is a key problem in many settings, including reactor systems. Chemical reaction networks are mathematically well represented as…

Molecular Networks · Quantitative Biology 2025-06-17 Adittya Pal , Rolf Fagerberg , Jakob Lykke Andersen , Christoph Flamm , Peter Dittrich , Daniel Merkle

We discuss conditions for the enhancement of fusion reactivities arising from different choices of energy distribution functions for the reactants. The key element for potential gains in fusion reactivity is identified in the functional…

Plasma Physics · Physics 2024-09-10 Ben I. Squarer , Carlo Presilla , Roberto Onofrio

A new and computationally viable full quantum version of line shape theory is obtained in terms of a mixed Weyl symbol calculus. The basic ingredient in the collision--broadened line shape theory is the time dependent dipole autocorrelation…

Atomic Physics · Physics 2009-10-31 T. A. Osborn , M. F. Kondrat'eva , G. C. Tabisz , B. R. McQuarrie

We demonstrate that a nonthermal distribution of particles described by a kappa distribution can be accurately approximated by a weighted sum of Maxwell-Boltzmann distributions. We apply this method to modeling collision processes in…

Solar and Stellar Astrophysics · Physics 2015-09-09 Michael Hahn , Daniel Wolf Savin

We propose a new method to calculate stellar weak-interaction rates. It is based on the Thermo-Field-Dynamics formalism and allows the calculation of the weak-interaction response of nuclei at finite temperatures. The thermal evolution of…

We solve the quasiclassical problem of tunneling through an external potential barrier in a dense plasma, where the tunneling particles undergo simultaneous collisions with other particles in thermodynamic equilibrium. Under such conditions…

Astrophysics · Physics 2007-05-23 V. I. Savchenko

Theoretical estimations for the astrophysical S-factor and the d(alpha,gamma)6Li reaction rates are obtained on the base of the two-body model with the alpha-d potential of a simple Gaussian form, which describes correctly the phase-shifts…

Nuclear Theory · Physics 2015-04-21 E. M. Tursunov , S. A. Turakulov , P. Descouvemont

In reaction rate theory, in input-output type models and in reaction-diffusion problems when the total derivatives are replaced by fractional derivatives the solutions are obtained in terms of Mittag-Leffler functions and their…

Statistical Mechanics · Physics 2011-03-01 A. M. Mathai , H. J. Haubold

We consider viscous, heat conducting mixtures of molecularly miscible chemical species forming a fluid in which the constituents can undergo chemical reactions. Assuming a common temperature for all components, we derive a closed system of…

Fluid Dynamics · Physics 2016-04-01 Dieter Bothe , Wolfgang Dreyer

This Feature Article presents an overview of the current status of Ring Polymer Molecular Dynamics (RPMD) rate theory. We first analyze the RPMD approach and its connection to quantum transition-state theory. We then focus on its practical…

Chemical Physics · Physics 2017-02-08 Yury V. Suleimanov , F. Javier Aoiz , Hua Guo

Fusion dynamics and the onset of quasi-fission in reactions, leading to production of superheavy nuclei are investigated using the constrained molecular dynamics model. Constraints on the parameters of the nuclear equation of state are…

Nuclear Theory · Physics 2020-01-08 J. Klimo , M. Veselsky , G. A. Souliotis , A. Bonasera

Energy and momentum of the elementary excitations become independent variables in medium: energy and momentum statistical distributions are not identical. The momentum distribution and not the energy distribution is relevant for barrier…

Nuclear Theory · Physics 2016-11-23 M. Coraddu , M. Lissia , G. Mezzorani , P. Quarati

Nuclear reactions govern major aspects of the chemical evolution od galaxies and stars. Analytic study of the reaction rates and reaction probability integrals is attempted here. Exact expressions for the reaction rates and reaction…

Astrophysics · Physics 2011-04-15 H. J. Haubold , A. M. Mathai

The role of the entrance channel in the fusion-fission reactions leading to nearly the same superheavy compound nucleus is studied in the framework of dynamic model. The calculations are done for $^{48}$Ca + $^{244}$Pu and $^{74,76}$Ge +…

Nuclear Theory · Physics 2007-05-23 R. V. Jolos , A. I. Muminov , A. K. Nasirov

Aims: The aim of this work is to compare the performance of three reaction network integration methods used in stellar nucleosynthesis calculations. These are the Gear's backward differentiation method, Wagoner's method (a 2nd-order…

Solar and Stellar Astrophysics · Physics 2015-06-18 Richard Longland , David Martin , Jordi José