About Petschek-Type Reconnection Driven by Inhomogeneous Plasma Resistivity

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About Petschek-Type Reconnection Driven by Inhomogeneous Plasma Resistivity. / Erkaev, N. V.; Semenov, V. S.

Problems of Geocosmos–2020 . Springer Nature, 2022. p. 397-412 (Springer Proceedings in Earth and Environmental Sciences).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Erkaev, NV & Semenov, VS 2022, About Petschek-Type Reconnection Driven by Inhomogeneous Plasma Resistivity. in Problems of Geocosmos–2020 . Springer Proceedings in Earth and Environmental Sciences, Springer Nature, pp. 397-412, XIII Школа-конференция "Проблемы Геокосмоса" , Санкт-Петербург, Russian Federation, 5/10/20. https://doi.org/10.1007/978-3-030-91467-7_29

APA

Erkaev, N. V., & Semenov, V. S. (2022). About Petschek-Type Reconnection Driven by Inhomogeneous Plasma Resistivity. In Problems of Geocosmos–2020 (pp. 397-412). (Springer Proceedings in Earth and Environmental Sciences). Springer Nature. https://doi.org/10.1007/978-3-030-91467-7_29

Vancouver

Erkaev NV, Semenov VS. About Petschek-Type Reconnection Driven by Inhomogeneous Plasma Resistivity. In Problems of Geocosmos–2020 . Springer Nature. 2022. p. 397-412. (Springer Proceedings in Earth and Environmental Sciences). https://doi.org/10.1007/978-3-030-91467-7_29

Author

Erkaev, N. V. ; Semenov, V. S. / About Petschek-Type Reconnection Driven by Inhomogeneous Plasma Resistivity. Problems of Geocosmos–2020 . Springer Nature, 2022. pp. 397-412 (Springer Proceedings in Earth and Environmental Sciences).

BibTeX

@inproceedings{4d659d8ad22a46d096fba2da5101acce,

title = "About Petschek-Type Reconnection Driven by Inhomogeneous Plasma Resistivity",

abstract = "Applying a two-dimensional, compressible Hall magnetohydrodynamic (MHD) model, we study reconnection of magnetic fields in various cases: symmetric and non-symmetric antiparallel magnetic fields, and also skewed magnetic fields. The magnetic reconnection process is initiated by switching on a localized resistivity assumed to be a Gaussian function of spatial coordinates. As initial condition we set a one-dimensional steady-state current sheet. The obtained numerical solution indicates that reconnection process evolves asymptotically to the stationary Petschek-type regime in the case of inhomogeneous resistivity. The internal reconnection rate is found to be proportional to square root of the inverse local magnetic Reynolds number. The external reconnection rate is found by matching the external Petschek solution and the internal diffusion region solution for various cases of steady-state two-dimensional reconnection in a compressible plasma. The obtained general formula for the reconnection rate yield those of Sweet–Parker or Petschek in particular cases of pure homogeneous or strongly localized resistivity. In case of skewed reconnecting magnetic field, the reconnection rate is proportional to the sine of angle between magnetic field and reconnection line. The Hall parameter is found to be responsible for generation of the so called Alfv{\'e}n wings structure. These wings are related to the Hall MHD Alfv{\'e}n waves propagating faster than the usual Alfv{\'e}n waves in the ideal MHD model. The obtained Alfv{\'e}n wings are characterized by intensive field-aligned currents and large variations of the out-of-plane magnetic field and velocity components.",

keywords = "Hall MHD simulation, Inhomogeneous plasma resistivity, Magnetic reconnection",

author = "Erkaev, {N. V.} and Semenov, {V. S.}",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.; null ; Conference date: 05-10-2020 Through 09-10-2020",

year = "2022",

doi = "10.1007/978-3-030-91467-7_29",

language = "English",

series = "Springer Proceedings in Earth and Environmental Sciences",

publisher = "Springer Nature",

pages = "397--412",

booktitle = "Problems of Geocosmos–2020",

address = "Germany",

}

RIS

TY - GEN

T1 - About Petschek-Type Reconnection Driven by Inhomogeneous Plasma Resistivity

AU - Erkaev, N. V.

AU - Semenov, V. S.

PY - 2022

Y1 - 2022

N2 - Applying a two-dimensional, compressible Hall magnetohydrodynamic (MHD) model, we study reconnection of magnetic fields in various cases: symmetric and non-symmetric antiparallel magnetic fields, and also skewed magnetic fields. The magnetic reconnection process is initiated by switching on a localized resistivity assumed to be a Gaussian function of spatial coordinates. As initial condition we set a one-dimensional steady-state current sheet. The obtained numerical solution indicates that reconnection process evolves asymptotically to the stationary Petschek-type regime in the case of inhomogeneous resistivity. The internal reconnection rate is found to be proportional to square root of the inverse local magnetic Reynolds number. The external reconnection rate is found by matching the external Petschek solution and the internal diffusion region solution for various cases of steady-state two-dimensional reconnection in a compressible plasma. The obtained general formula for the reconnection rate yield those of Sweet–Parker or Petschek in particular cases of pure homogeneous or strongly localized resistivity. In case of skewed reconnecting magnetic field, the reconnection rate is proportional to the sine of angle between magnetic field and reconnection line. The Hall parameter is found to be responsible for generation of the so called Alfvén wings structure. These wings are related to the Hall MHD Alfvén waves propagating faster than the usual Alfvén waves in the ideal MHD model. The obtained Alfvén wings are characterized by intensive field-aligned currents and large variations of the out-of-plane magnetic field and velocity components.

AB - Applying a two-dimensional, compressible Hall magnetohydrodynamic (MHD) model, we study reconnection of magnetic fields in various cases: symmetric and non-symmetric antiparallel magnetic fields, and also skewed magnetic fields. The magnetic reconnection process is initiated by switching on a localized resistivity assumed to be a Gaussian function of spatial coordinates. As initial condition we set a one-dimensional steady-state current sheet. The obtained numerical solution indicates that reconnection process evolves asymptotically to the stationary Petschek-type regime in the case of inhomogeneous resistivity. The internal reconnection rate is found to be proportional to square root of the inverse local magnetic Reynolds number. The external reconnection rate is found by matching the external Petschek solution and the internal diffusion region solution for various cases of steady-state two-dimensional reconnection in a compressible plasma. The obtained general formula for the reconnection rate yield those of Sweet–Parker or Petschek in particular cases of pure homogeneous or strongly localized resistivity. In case of skewed reconnecting magnetic field, the reconnection rate is proportional to the sine of angle between magnetic field and reconnection line. The Hall parameter is found to be responsible for generation of the so called Alfvén wings structure. These wings are related to the Hall MHD Alfvén waves propagating faster than the usual Alfvén waves in the ideal MHD model. The obtained Alfvén wings are characterized by intensive field-aligned currents and large variations of the out-of-plane magnetic field and velocity components.

KW - Hall MHD simulation

KW - Inhomogeneous plasma resistivity

KW - Magnetic reconnection

UR - http://www.scopus.com/inward/record.url?scp=85125257269&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/da87b8d9-7734-3859-b547-8199a8b05487/

U2 - 10.1007/978-3-030-91467-7_29

DO - 10.1007/978-3-030-91467-7_29

M3 - Conference contribution

AN - SCOPUS:85125257269

T3 - Springer Proceedings in Earth and Environmental Sciences

SP - 397

EP - 412

BT - Problems of Geocosmos–2020

PB - Springer Nature

Y2 - 5 October 2020 through 9 October 2020

ER -

ID: 96451925