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Distortion of charge distribution due to internal electric fields described by the drift-diffusion semiconductor model.

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Title: Distortion of charge distribution due to internal electric fields described by the drift-diffusion semiconductor model.
Authors: Yamamoto, Masakazu1 (AUTHOR) mk-yamamoto@gunma-u.ac.jp
Source: Zeitschrift für Angewandte Mathematik und Physik (ZAMP). May2026, Vol. 77 Issue 5, p1-9. 9p.
Subjects: Drift diffusion models, Electric fields, Electric charge, Rotational symmetry, Nonlinear dynamical systems, Debye-Hückel theory, Plasma interactions
Abstract: In this paper, the initial value problem for the Debye–Hückel drift-diffusion equation is studied. This equation was introduced as a model describing plasma behavior and is also known as a simulation model of MOSFET, and so its solution describes charge density. It is well-known that, if the initial density is localized, then the density is adjusted to be radially symmetric due to the linear diffusion. Consequently, the electric field is also governed by a radially symmetric potential, and its effects are expected to act radially symmetrically. The main result express the electric field and its effect on the charge density as concrete functions. It also denotes the distortion of symmetry and the shift of scale on the density due to the internal electric field. Unlike the historical paper via Escobedo and Zuazua and the followers, the main result captures stronger nonlinearity than the logarithmic shift. [ABSTRACT FROM AUTHOR]
Copyright of Zeitschrift für Angewandte Mathematik und Physik (ZAMP) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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PubType: Academic Journal
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  Data: Distortion of charge distribution due to internal electric fields described by the drift-diffusion semiconductor model.
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  Data: <searchLink fieldCode="AR" term="%22Yamamoto%2C+Masakazu%22">Yamamoto, Masakazu</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mk-yamamoto@gunma-u.ac.jp</i>
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  Data: <searchLink fieldCode="JN" term="%22Zeitschrift+für+Angewandte+Mathematik+und+Physik+%28ZAMP%29%22">Zeitschrift für Angewandte Mathematik und Physik (ZAMP)</searchLink>. May2026, Vol. 77 Issue 5, p1-9. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Drift+diffusion+models%22">Drift diffusion models</searchLink><br /><searchLink fieldCode="DE" term="%22Electric+fields%22">Electric fields</searchLink><br /><searchLink fieldCode="DE" term="%22Electric+charge%22">Electric charge</searchLink><br /><searchLink fieldCode="DE" term="%22Rotational+symmetry%22">Rotational symmetry</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+dynamical+systems%22">Nonlinear dynamical systems</searchLink><br /><searchLink fieldCode="DE" term="%22Debye-Hückel+theory%22">Debye-Hückel theory</searchLink><br /><searchLink fieldCode="DE" term="%22Plasma+interactions%22">Plasma interactions</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this paper, the initial value problem for the Debye–Hückel drift-diffusion equation is studied. This equation was introduced as a model describing plasma behavior and is also known as a simulation model of MOSFET, and so its solution describes charge density. It is well-known that, if the initial density is localized, then the density is adjusted to be radially symmetric due to the linear diffusion. Consequently, the electric field is also governed by a radially symmetric potential, and its effects are expected to act radially symmetrically. The main result express the electric field and its effect on the charge density as concrete functions. It also denotes the distortion of symmetry and the shift of scale on the density due to the internal electric field. Unlike the historical paper via Escobedo and Zuazua and the followers, the main result captures stronger nonlinearity than the logarithmic shift. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Zeitschrift für Angewandte Mathematik und Physik (ZAMP) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s00033-026-02800-1
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      – Code: eng
        Text: English
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        PageCount: 9
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    Subjects:
      – SubjectFull: Drift diffusion models
        Type: general
      – SubjectFull: Electric fields
        Type: general
      – SubjectFull: Electric charge
        Type: general
      – SubjectFull: Rotational symmetry
        Type: general
      – SubjectFull: Nonlinear dynamical systems
        Type: general
      – SubjectFull: Debye-Hückel theory
        Type: general
      – SubjectFull: Plasma interactions
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      – TitleFull: Distortion of charge distribution due to internal electric fields described by the drift-diffusion semiconductor model.
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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