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Phenomenological treatment of the vortex Nernst effect. The vortex core represents a high-entropy region within a zero-entropy condensate. It adds a free energy DF = s_{\phi}T, where s_{\phi} is the line entropy. The force (per length) on the vortex from the gradient is s_{\phi}[grad T]. This is balanced by the damping force \eta*v_L, where \eta is the damping viscosity. The observed Nernst coefficient v may be expressed as s_{\phi}/\eta.

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