Quantum corrections to the particle distribution function and reaction rates in dense media

Starostin, A. N.; Leonov, A. G.; Petrushevich, Yu. V.; Rerikh, V. K.

doi:10.1134/1.1866595

Cited by 12 publications

(10 citation statements)

References 7 publications

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“…In contrast, in a non-ideal Fermi system, the momentum distribution decays much slower with k, exhibiting a power law asymptotic. The importance of a power law asymptotic has been pointed out by Starostin and co-workers [25][26][27] and many others, e.g. [28], because an increased number of particles in high-momentum states could have a significant effect on scattering and reaction cross sections, in particular on fusion reaction rates in dense plasmas.…”

Section: Introductionmentioning

confidence: 99%

Momentum distribution function and short-range correlations of the warm dense electron gas -- ab initio quantum Monte Carlo results

Hunger,

Schoof,

Dornheim

et al. 2021

Preprint

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In a classical plasma the momentum distribution, n(k), decays exponentially, for large k, and the same is observed for an ideal Fermi gas. However, when quantum and correlation effects are relevant simultaneously, an algebraic decay, n∞(k) ∼ k −8 has been predicted. This is of relevance for cross sections and threshold processes in dense plasmas that depend on the number of energetic particles. Here we present the first ab initio results for the momentum distribution of the nonideal uniform electron gas at warm dense matter conditions. Our results are based on first principle fermionic path integral Monte Carlo (CPIMC) simulations and clearly confirm the k −8 asymptotic. This asymptotic behavior is directly linked to short-range correlations which are analyzed via the on-top pair distribution function (on-top PDF), i.e. the PDF of electrons with opposite spin. We present extensive results for the density and temperature dependence of the on-top PDF and for the momentum distribution in the entire momentum range.

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Section: Introductionmentioning

confidence: 99%

Momentum distribution function and short-range correlations of the warm dense electron gas -- ab initio quantum Monte Carlo results

Hunger,

Schoof,

Dornheim

et al. 2021

Preprint

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“…In [13][14][15] the authors proposed a simple model using the Lorentz gas concept in which a light particle is scattered by a heavy impurity particle. It was demonstrated numerically that there must be a significant deviation of the distribution function from the Maxwellian form as the result of the quantum corrections.…”

Section: Introductionmentioning

confidence: 99%

Enhancement of fusion rates due to quantum effects in the particles momentum distribution in nonideal plasma media

et al. 2012

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This study concerns a situation when measurements of the nonresonant cross-section of nuclear reactions appear highly dependent on the environment in which the particles interact. An appealing example discussed in the paper is the interaction of a deuteron beam with a target of deuterated metal Ta. In these experiments, the reaction cross section for d(d,p)t was shown to be orders of magnitude greater than what the conventional model predicts for the low-energy particles. In this paper we take into account the influence of quantum effects due to the Heisenberg uncertainty principle for particles in a non-ideal medium elastically interacting with the medium particles.In order to calculate the nuclear reaction rate in the non-ideal environment we apply both the Monte Carlo technique and approximate analytical calculation of the Feynman diagram using nonrelativistic kinetic Green's functions in the medium which correspond to the generalized energy and momentum distribution functions of interacting particles. We show a possibility to reduce the 12-fold integral corresponding to this diagram to a fivefold integral. This can significantly speed up the computation and control accuracy. Our calculations show that quantum effects significantly influence reaction rates such as p + 7 Be, 3 He + 4 He, p + 7 Li, and 12 C + 12 C. The new reaction rates may be much higher than the classical ones for the interior of the Sun and supernova stars. The possibility to observe the theoretical predictions under laboratory conditions is discussed.

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“…[8]). Since (i) in this case quantum tails might produce dramatic effects on the rates of nuclear and other reactions in a medium and (ii) the provocative suggestion [6,7] has been used in a many papers [6,7,[9][10][11][12][13][14][15][16][17][18], it is the purpose of present work to examine the validity of the approximation [6,7].…”

mentioning

confidence: 99%

“…For the N-body system, Eqs. (11)(12)(13)(14)(15)(16), the number of binary fusion reactions per unit time and unit volume in the n-th state Φ n ( r 1 , r 2 , ... r N ) is…”

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confidence: 99%

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A note on the quantum-tail effect on fusion reaction rate

Zubarev

2008

Preprint

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Quantum corrections to the particle distribution function and reaction rates in dense media

Cited by 12 publications

References 7 publications

Momentum distribution function and short-range correlations of the warm dense electron gas -- ab initio quantum Monte Carlo results

Momentum distribution function and short-range correlations of the warm dense electron gas -- ab initio quantum Monte Carlo results

Enhancement of fusion rates due to quantum effects in the particles momentum distribution in nonideal plasma media

A note on the quantum-tail effect on fusion reaction rate

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