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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 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 physics of nuclear reactions in stellar plasma is reviewed with special emphasis on the importance of the velocity distribution of ions. Then the properties (density and temperature) of the weak-coupled solar plasma are analysed,…

Nuclear Theory · Physics 2011-01-04 M. Coraddu , G. Kaniadakis , A. Lavagno , M. Lissia , G. Mezzorani , P. Quarati

Plasmas in which there is a threshold for a dominant reaction to take place (such as recombination or attachment) will have particle distributions that evolve as the reaction progresses. The form of the Boltzmann collision term in such a…

Plasma Physics · Physics 2008-10-13 D A Diver , L F A Teodoro , C S MacLachlan , H E Potts

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

A study is made of the power-law tail effect in the quantum particle distribution over momentum on the nuclear fusion reactions. Our results do not support the idea of averaging the fusion reaction cross-section over the momentum…

Astrophysics · Physics 2008-05-29 Alexander L. Zubarev

Non-resonant fusion cross-sections significantly higher than corresponding theoretical predictions are observed in low-energy experiments with deuterated matrix target. Models based on thermal effects, electron screening, or quantum-effect…

Nuclear Theory · Physics 2018-02-14 M. Coraddu , M. Lissia , P. Quarati

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

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

Scattering phenomena between charged particles and highly excited Rydberg atoms are of critical importance in many processes in plasma physics and astrophysics. While a Maxwell-Boltzmann (MB) energy distribution for the charged particles is…

Plasma Physics · Physics 2020-12-09 Daniel Vrinceanu , Roberto Onofrio , Hossein R. Sadeghpour

Detailed calculations of the contribution from off-shell effects to the quasiclassical tunneling of fusing particles are provided. It is shown that these effects change the Gamow rates of certain nuclear reactions in dense plasma by several…

Statistical Mechanics · Physics 2009-10-31 V. I. Savchenko

To rigorously model fast ions in fusion plasmas, a non-Maxwellian equilibrium distribution must be used. In the work, the response of high-energy alpha particles to electrostatic turbulence has been analyzed for several different tokamak…

Plasma Physics · Physics 2015-05-13 George Wilkie , Ian Abel , Edmund Highcock , William Dorland

We study two different physical scenarios of thermonuclear reactions in stellar plasmas proceeding through a narrow resonance at low energy or through the low energy wing of a wide resonance at high energy. Correspondingly, we derive two…

Nuclear Theory · Physics 2009-11-10 F. Ferro , A. Lavagno , P. Quarati

We describe the physical motivations why we are urged to look for an ionic equilibrium distribution function slightly different from the Maxwellian to calculate nuclear reaction rates in the solar core plasma answering, at the same time, to…

Astrophysics · Physics 2007-05-23 A. Lavagno , P. Quarati

Density and temperature conditions in the solar core suggest that the microscopic diffusion of electrons and ions could be nonstandard: Diffusion and friction coefficients are energy dependent, collisions are not two-body processes and…

Astrophysics · Physics 2015-06-24 G. Kaniadakis , A. Lavagno , M. Lissia , P. Quarati

The Coulomb barrier is in general much higher than thermal energy. Nuclear fusion reactions occur only among few protons and nuclei with higher relative energies than Coulomb barrier. It is the equilibrium velocity distribution of these…

Nuclear Theory · Physics 2007-05-23 Jian-Miin Liu

Non-Maxwellian distributions are commonly observed across a wide range of systems and scales. While direct observations provide the strongest evidence for these distributions, they also manifest indirectly through their influence on…

Statistical Mechanics · Physics 2024-12-17 Kamel Ourabah

We investigate the effects of plasma interactions on resonance-enhanced fusion rates in stars. Starting from basic principles we derive an expression for the fusion rate that can serve as a basis for discussion of approximation schemes. The…

Solar and Stellar Astrophysics · Physics 2015-06-04 R. F. Sawyer

We provide the most stringent constraint to date on possible deviations from the usually-assumed Maxwell-Boltzmann (MB) velocity distribution for nuclei in the Big-Bang plasma. The impact of non-extensive Tsallis statistics on thermonuclear…

Cosmology and Nongalactic Astrophysics · Physics 2014-08-20 S. Q. Hou , J. J. He , A. Parikh , K. Daid , C. Bertulani

The relativistic equilibrium velocity distribution coincides with the Maxwellian distribution for small velocities and vanishes at c, the velocity of light. Based on the decay pattern of high-energy tail in the relativistic equilibrium…

Statistical Mechanics · Physics 2007-05-23 Jian-Miin Liu
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