Equilibrium theory of coherent vortex and zonal jet formation in a system of nonlinear Rossby waves

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 73, Issue 3, 2006, Pages

  Weichman, Peter B ^a  

^a BAE SYSTEMS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR SYSTEMS; PHASE EQUILIBRIA; STATISTICAL METHODS;

JETLIKE SOLUTIONS; NONLINEAR ROSSBY WAVES; STATISTICAL EQUILIBRIUM EQUATIONS;

JETS;

EID: 33645305967     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.036313     Document Type: Article

References (13)

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13. The point charge limit is obtained by letting all nonzero σ k → ∞, Ak → 0 with fixed qk = σk Ak. The temperature scales via β σk = β, qk with finite Î2Ì, =1â• TÌ, and Ïfk Ïk ↠qk ÏÌ, k, with ÏÌ, k =exp { Î2Ì, [ÎÌ, k â' qk (Î0 âα)] }, and ÎÌ, k ensuring a unit integral. The nonzero charge region has measure zero. An example is the sinh-Poisson equation, Q0 =C sinh (ÎÌ, Î0), the symmetric special case of the three level system, qk =0,±1. F. Spineau and M. Vlad [Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.235003 94, 235003 (2005)] obtain, through a mysterious sequence of field theoretic mappings, an equilibrium equation with Q0 = C1 sinh (ÎÌ, Î0) [cosh (ÎÌ, Î0) â C2], the symmetric special case of the five level system, qk =0,±1,±2. All of these are, in turn, very special cases of the general theory presented here.