The index n is the polytropic index that appears in the polytropic equation of state,
3.
The polytropic index has been shown to be equivalent to the pressure derivative of the bulk modulus where its relation to the Murnaghan equation of state has also been demonstrated.
4.
The atmosphere is initially in polytropic hydrostatic balance with polytropic index m, and is threaded by a uniform, weak, horizontal, poloidal ( y-directed ) magnetic field of strength B0.
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