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Stars are gravitationally stabilized fusion reactors changing their chemical composition while transforming light atomic nuclei into heavy ones. The atomic nuclei are supposed to be in thermal equilibrium with the ambient plasma. The…

Classical Analysis and ODEs · Mathematics 2016-09-06 William J. Anderson , Hans J. Haubold , Arak Mathai Mathai

Nonthermal velocity distributions with much greater tails than the Maxwellian have been observed for radical atoms in plasmas for a long time. Historically, such velocity distributions have been modeled by a two-temperature Maxwell…

Plasma Physics · Physics 2024-05-09 Keisuke Fujii

The process of fusion of complex nuclei is of significant interest as an example of the collective nuclear motion of large amplitude as well as a route for synthesis of new superheavy chemical elements. This process is accompanied by the…

Nuclear Theory · Physics 2023-05-23 I. I. Gontchar , M. V. Chushnyakova

The binary additive hard-sphere mixtures have been studied by the Ornstein-Zernike integral equation coupled with the Martynov-Sarkisov (MS) closure approximation. Virial equation of state is computed in the MS approximation. The excess…

Statistical Mechanics · Physics 2024-06-03 Banzragch Tsednee , Tsogbayar Tsednee , Tsookhuu Khinayat

We study the heat statistics of a quantum Brownian motion described by the Caldeira-Leggett model. By using the path integral approach, we introduce a novel concept of the quantum heat functional along every pair of Feynman paths. This…

Statistical Mechanics · Physics 2018-07-18 Ken Funo , H. T. Quan

The ring-polymer molecular dynamics (RPMD) was used to calculate the thermal rate coefficients of the two-channel roaming reaction H + MgH. Both reaction channels, tight and roaming, are explicitly considered. This is a pioneering attempt…

Chemical Physics · Physics 2021-05-26 Hui Yang , Wenbin Fan , Junhua Fang , Jianing Song , Yongle Li

The capture cross section, the fusion cross section, and the quasi-fission yield producing symmetric fragments ($A_{CN}/2\pm20u$) in the $^{48}$Ca+$^{238}$U reaction are analyzed by the multidimensional Langevin equation taking account of…

Nuclear Theory · Physics 2023-09-21 S. Amano , Y. Aritomo , M. Ohta

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

Reaction processes in muon catalyzed fusion ($\mu$CF), $(dt\mu)_{J=v=0} \to \alpha + n + \mu + 17.6\,{\rm MeV}\:$ or $ \;(\alpha \mu)_{nl} + n + 17.6\,{\rm MeV}$ in the D-T mixture was comprehensively studied by Kamimura, Kino and Yamashita…

Nuclear Theory · Physics 2024-07-12 Qian Wu , Masayasu Kamimura

The standard theory of nuclear fusion rates in a strongly interacting plasma can be (correctly) derived only when the energy release, Q, is large compared to other energies in the problem. We exhibit a result for rates that provides a basis…

Solar and Stellar Astrophysics · Physics 2010-05-25 R. F. Sawyer

The integral equations for the correlation functions of an inhomogeneous fluid mixture are derived using a functional Taylor expansion of the free energy around an inhomogeneous equilibrium distribution. The system of equations is closed by…

Soft Condensed Matter · Physics 2007-05-23 M. Oettel

A model to calculate particle-induced reaction cross sections with statistical Hauser-Feshbach theory including direct reactions is given. The energy average of scattering matrix from the coupled-channels optical model is diagonalized by…

Nuclear Theory · Physics 2016-08-24 T. Kawano , R. Capote , S. Hilaire

Within path sampling framework, we show that probability distribution divergences, such as the Chernoff information, can be estimated via thermodynamic integration. The Boltzmann-Gibbs distribution pertaining to different Hamiltonians is…

Methodology · Statistics 2013-10-18 Silia Vitoratou , Ioannis Ntzoufras

An effective Fourier nuclear shape parametrization which describes well the most relevant degrees of freedom on the way to fission is used to construct a 3D collective model. The potential energy surface is evaluated within the…

Thermalization process of nuclear matter in central fireball region of heavy-ion collisions is investigated by employing an extension model of Boltzmann-Uehling-Uhlenbeck, namely the Van der Waals Boltzmann-Uehling-Uhlenbeck (VdWBUU) model.…

Nuclear Theory · Physics 2017-06-06 X. G. Deng , Y. G. Ma , M. Veselsky

The emission rate of photons from a hot, weakly coupled ultrarelativistic plasma is analyzed. Leading-log results, reflecting the sensitivity of the emission rate to scattering events with momentum transfers from $gT$ to $T$, have…

High Energy Physics - Phenomenology · Physics 2010-02-03 Peter Arnold , Guy D. Moore , Laurence G. Yaffe

We develop the physical model and the system of equations for the impulse neutron source (INS) of high-energy neutrons ($\sim$14 MeV) emitted by fusion reactions during compression of D-T gas by cumulative detonation waves. The system of…

We simulate fusion in a Z-pinch; where the load is a xenon-plasma liner imploding onto a deuterium-tritium plasma target and the driver is a 2 MJ, 17 MA, 95 ns risetime pulser. The implosion system is modeled using the dynamic, 2-1/2 D,…

Plasma Physics · Physics 2009-11-13 H. U. Rahman , F. J. Wessel , N. Rostoker , P. Ney

We discuss scaling laws of fusion yields generated by laser-plasma interactions. The yields are found to scale as a function of the laser power. The origin of the scaling law in the laser driven fusion yield is derived in terms of…

Plasma Physics · Physics 2012-12-05 Sachie Kimura , Aldo Bonasera

In some inertial confinement fusion hohlraum designs, the inside plasma is not sufficiently collisional to be satisfactorily described by the Euler equations implemented in hydrodynamic simulation codes, particularly in converging regions…

Plasma Physics · Physics 2021-11-30 Olivier Larroche