A minor correction, having no major influence on our results, is reported here. The coefficients in the equations of state (16) and (17) should read
The set of equations (13)–(20) now comprise the correct, linearized and Fourierdecomposed double adiabatic equations in cylindrical geometry. In addition, there is a printing error in (15): a factor bz should multiply the last term of the left-hand side. Our results are only slightly modified, and the discussion remains unchanged. We wish, however, to point out that the correct stability criterion for isotropic pressure, (26), should be
This is the double adiabatic counterpart to the m ╪ 0 Kadomtsev criterion of ideal MHD.