Blob-hole structures as non-axisymmetric equilibrium solutions for potential vorticity conserving fluids

Yusuke Kosuga, Patrick H. Diamond

Research output: Contribution to journalArticle

Abstract

We characterize blob-hole structures as equilibrium solutions for potential vorticity (PV) conserving systems. To demonstrate this, we consider equilibrium statistical mechanics of PV conserving fluids. We calculate partition function and free energy of the system, under the constraints that the energy and all the moments of PV are conserved. Equilibrium solutions are obtained by minimizing the free energy. As an example of analytical solutions from this approach, we consider solutions that conserve the energy and potential enstrophy. The connection of the obtained solutions to blob-hole structures is discussed.

Original languageEnglish
Article number2403080
JournalPlasma and Fusion Research
Volume8
DOIs
Publication statusPublished - Jan 1 2013

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vorticity
fluids
free energy
statistical mechanics
energy
partitions
moments

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Cite this

Blob-hole structures as non-axisymmetric equilibrium solutions for potential vorticity conserving fluids. / Kosuga, Yusuke; Diamond, Patrick H.

In: Plasma and Fusion Research, Vol. 8, 2403080, 01.01.2013.

Research output: Contribution to journalArticle

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