Blob-Hole Structures as Non-Axisymmetric Equilibrium Solutions for Potential Vorticity Conserving Fluids

• KOSUGA Yusuke

  WCI Center for Fusion Theory, NFRI IAS and RIAM, Kyushu University

• DIAMOND Patrick H.

  WCI Center for Fusion Theory, NFRI CMTFO and CASS, UCSD

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.

Journal

• Plasma and Fusion Research

  Plasma and Fusion Research 8 (0), 2403080-2403080, 2013

  The Japan Society of Plasma Science and Nuclear Fusion Research

Keywords

• turbulence
• equilibrium
• potential vorticity
• vortex solution

Details

• CRID: 1390001205254508928
• NII Article ID: 130005073252
• DOI: 10.1585/pfr.8.2403080
• ISSN: 18806821
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed