An upper critical dimension for dynamo action: a d -dimensional closure model study.

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Title: An upper critical dimension for dynamo action: a d -dimensional closure model study.
Authors: Durai Murugan, Sugan1 (AUTHOR) vsdmfriend@gmail.com, Krstulovic, Giorgio2 (AUTHOR) Giorgio.krstulovic@univ-cotedazur.fr, Vincenzi, Dario3 (AUTHOR) dario.vincenzi@univ-cotedazur.fr, Sankar Ray, Samriddhi4 (AUTHOR) samriddhisankarray@gmail.com
Source: Journal of Physics A: Mathematical & Theoretical. 2026, Vol. 59 Issue 21, p1-17. 17p.
Subjects: Incompressible flow, Electromagnetic induction, Fluid dynamics, Prandtl number, Dimensionless numbers
Abstract: We construct a d -dimensional eddy damped quasi-normal Markovian (EDQNM) closure model to study dynamo action in arbitrary dimensions. In particular, we find lower d L and upper d U critical dimensions for sustained dynamo action in this incompressible problem. Our model is adaptable for future studies incorporating helicity, compressible effects and a wide range of magnetic Reynolds and Prandtl numbers. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Physics A: Mathematical & Theoretical is the property of IOP Publishing 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.)
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  Data: An upper critical dimension for dynamo action: a d -dimensional closure model study.
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  Data: <searchLink fieldCode="AR" term="%22Durai+Murugan%2C+Sugan%22">Durai Murugan, Sugan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> vsdmfriend@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Krstulovic%2C+Giorgio%22">Krstulovic, Giorgio</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> Giorgio.krstulovic@univ-cotedazur.fr</i><br /><searchLink fieldCode="AR" term="%22Vincenzi%2C+Dario%22">Vincenzi, Dario</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> dario.vincenzi@univ-cotedazur.fr</i><br /><searchLink fieldCode="AR" term="%22Sankar+Ray%2C+Samriddhi%22">Sankar Ray, Samriddhi</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> samriddhisankarray@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Physics+A%3A+Mathematical+%26+Theoretical%22">Journal of Physics A: Mathematical & Theoretical</searchLink>. 2026, Vol. 59 Issue 21, p1-17. 17p.
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  Data: <searchLink fieldCode="DE" term="%22Incompressible+flow%22">Incompressible flow</searchLink><br /><searchLink fieldCode="DE" term="%22Electromagnetic+induction%22">Electromagnetic induction</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+dynamics%22">Fluid dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Prandtl+number%22">Prandtl number</searchLink><br /><searchLink fieldCode="DE" term="%22Dimensionless+numbers%22">Dimensionless numbers</searchLink>
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  Data: We construct a d -dimensional eddy damped quasi-normal Markovian (EDQNM) closure model to study dynamo action in arbitrary dimensions. In particular, we find lower d L and upper d U critical dimensions for sustained dynamo action in this incompressible problem. Our model is adaptable for future studies incorporating helicity, compressible effects and a wide range of magnetic Reynolds and Prandtl numbers. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Physics A: Mathematical & Theoretical is the property of IOP Publishing 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: 10.1088/1751-8121/ae6d55
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      – Code: eng
        Text: English
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        Type: general
      – SubjectFull: Electromagnetic induction
        Type: general
      – SubjectFull: Fluid dynamics
        Type: general
      – SubjectFull: Prandtl number
        Type: general
      – SubjectFull: Dimensionless numbers
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      – TitleFull: An upper critical dimension for dynamo action: a d -dimensional closure model study.
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              M: 05
              Text: 2026
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              Y: 2026
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