Region of validity of the finite–temperature Thomas–Fermi model with respect to quantum and exchange corrections

Dyachkov, Sergey; Levashov, Pavel

doi:10.1063/1.4875737

Title: Region of validity of the finite–temperature Thomas–Fermi model with respect to quantum and exchange corrections

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Abstract

We determine the region of applicability of the finite–temperature Thomas–Fermi model and its thermal part with respect to quantum and exchange corrections. Very high accuracy of computations has been achieved by using a special approach for the solution of the boundary problem and numerical integration. We show that the thermal part of the model can be applied at lower temperatures than the full model. Also we offer simple approximations of the boundaries of validity for practical applications.

Authors:

Dyachkov, Sergey ^[1]; Levashov, Pavel ^[1]

Joint Institute for High Temperatures RAS, Izhorskaya 13 bldg. 2, Moscow 125412 (Russian Federation)

Publication Date:: Thu May 15 00:00:00 EDT 2014

OSTI Identifier:: 22252828

Resource Type:: Journal Article

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 21; Journal Issue: 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACCURACY; APPROXIMATIONS; CORRECTIONS; FERMI GAS MODEL; MATHEMATICAL SOLUTIONS

Citation Formats


                    Dyachkov, Sergey, Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow Region 141700, Levashov, Pavel, and Tomsk State University, 36 Lenin Prospekt, Tomsk 634050. Region of validity of the finite–temperature Thomas–Fermi model with respect to quantum and exchange corrections.  United States: N. p., 2014. 
        Web.  doi:10.1063/1.4875737.

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                    Dyachkov, Sergey, Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow Region 141700, Levashov, Pavel, & Tomsk State University, 36 Lenin Prospekt, Tomsk 634050. Region of validity of the finite–temperature Thomas–Fermi model with respect to quantum and exchange corrections.  United States.  https://doi.org/10.1063/1.4875737

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                    Dyachkov, Sergey, Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow Region 141700, Levashov, Pavel, and Tomsk State University, 36 Lenin Prospekt, Tomsk 634050. 2014.  
        "Region of validity of the finite–temperature Thomas–Fermi model with respect to quantum and exchange corrections".  United States.  https://doi.org/10.1063/1.4875737.

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@article{osti_22252828,

  title        = {Region of validity of the finite–temperature Thomas–Fermi model with respect to quantum and exchange corrections},

  author       = {Dyachkov, Sergey and Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow Region 141700 and Levashov, Pavel and Tomsk State University, 36 Lenin Prospekt, Tomsk 634050},

  abstractNote = {We determine the region of applicability of the finite–temperature Thomas–Fermi model and its thermal part with respect to quantum and exchange corrections. Very high accuracy of computations has been achieved by using a special approach for the solution of the boundary problem and numerical integration. We show that the thermal part of the model can be applied at lower temperatures than the full model. Also we offer simple approximations of the boundaries of validity for practical applications.},

  doi          = {10.1063/1.4875737},

  url          = {https://www.osti.gov/biblio/22252828},
  journal      = {Physics of Plasmas},

  issn         = {1070-664X},

  number       = 5,

  volume       = 21,

  place        = {United States},

  year         = {Thu May 15 00:00:00 EDT 2014},

  month        = {Thu May 15 00:00:00 EDT 2014}

}

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