[Table of Contents]

Plasma and Fusion Research

Volume 8, 2403080 (2013)

Regular Articles

Blob-Hole Structures as Non-Axisymmetric Equilibrium Solutions for Potential Vorticity Conserving Fluids
Yusuke KOSUGA1,2) and Patrick H. DIAMOND1,3)
1)
WCI Center for Fusion Theory, NFRI, Daejeon, Korea
2)
IAS and RIAM, Kyushu University, Fukuoka 816-8580, Japan
3)
CMTFO and CASS, UCSD, La Jolla, CA, USA
(Received 7 December 2012 / Accepted 1 May 2013 / Published 19 June 2013)

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.

Keywords

turbulence, equilibrium, potential vorticity, vortex solution

DOI: 10.1585/pfr.8.2403080

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This paper may be cited as follows:

Yusuke KOSUGA and Patrick H. DIAMOND, Plasma Fusion Res. 8, 2403080 (2013).