TY - JOUR
T1 - Blob-hole structures as non-axisymmetric equilibrium solutions for potential vorticity conserving fluids
AU - Kosuga, Yusuke
AU - Diamond, Patrick H.
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
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U2 - 10.1585/pfr.8.2403080
DO - 10.1585/pfr.8.2403080
M3 - Article
AN - SCOPUS:85034862543
SN - 1880-6821
VL - 8
JO - Plasma and Fusion Research
JF - Plasma and Fusion Research
M1 - 2403080
ER -