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Exchange effects in plasmas: The case of low-frequency dynamics

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Zamanian, J., Marklund, M., Brodin, G.·2013·Physical Review E
DOI 10.1103/physreve.88.063105
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Abstract

Recently, there has been a surge of interest in nonequilibrium collective quantum models, where particle dispersion and spin are examples of effects taken into account. Here, we derive a kinetic plasma model containing fermion exchange effects. Exchange interactions are of great importance in many systems and have no classical analogy. Our model therefore constitutes a possible probe of collective quantum phenomena in other regimes. As an example, we consider the influence of the exchange effect on low-frequency dynamics, in particular ion-acoustic waves. Comparisons to related computational techniques are given and the differences are highlighted. Furthermore, we discuss the applicability of our model, its limitations, and possible extensions.

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Crossref · 10.1103/physreve.88.063105

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  • The relative importance of exchange effects in plasmas is proportional to H^2 = (ħ p / E_k)^2.

    “The relative importance of exchange effects in plasmas is proportional to the parameter H 2 = (ℏ p ∕E k ) 2”

    From Quantum kinetic theory of plasmas (2022) · cites this paper as Zamanian et al. 2013

  • For cold classical ions and a Maxwell-Boltzmann electron distribution, the ion-acoustic dispersion relation in the quasi-neutral limit is given by Eq. (52), with classical ion-acoustic velocity c_s = (m_e/m_i)^{1/2} v_Te and classical electron Landau damping γ_cl = k c_s √(π/8) √(m_e/m_i).

    “(52) = kc s 1 + 0.8 ℏ 2 2 pe m 2 v 4 Te -i cl 1 -3 ℏ 2 2 pe m 2 v 4 Te ,”

    From Quantum kinetic theory of plasmas (2022) · cites this paper as Zamanian et al. 2013

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Research works printed but not linked: 2

  1. F. Haas, Quantum Plasmas, A Hydrodynamics Approach (Springer, New York, 2011).
  2. V. E. Zakharov, Zh. Eksp. Teor. Fiz. 62, 1745 (1972) [Sov. Phys. JETP 35, 908 (1972)].

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Authors
Zamanian, J., Marklund, M., & Brodin, G.
Affiliations
  • Umeå University (SE)
  • Chalmers University of Technology (SE)
ORCID
Venue
Physical Review E
Publisher
American Physical Society (APS)
Published
2013-12-11
Volume
88
Issue
6
Pages
063105-063105
ISSN
  • 1539-3755 (ISSN-L)
  • 1550-2376
DOI
10.1103/physreve.88.063105
OpenAlex
W2143793422
Cited by
41
References
52
Citations by year
2026: 1 · 2024: 3 · 2022: 5 · 2021: 5 · 2020: 2 · 2019: 5 · 2018: 1 · 2017: 3 · 2016: 8 · 2015: 7 · 2014: 1
FWCI
2.75
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review E (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Chalmers Publication Library (Chalmers University of Technology) (submittedVersion)
  • Chalmers Research (Chalmers University of Technology) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • Vetenskapsrådet (2010-03727, 2012-05644)
  • FP7 Ideas: European Research Council (204059, 247452)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Dust and Plasma Wave Phenomena
  • Physical Sciences › Mathematics › Applied Mathematics › Gas Dynamics and Kinetic Theory
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Magnetic confinement fusion research
Keywords
kinetic plasma models, ion acoustic waves, spin effects, particle dispersion

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