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
![](//static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Aarticle%3AS0022377800013556/resource/name/S0022377800013556_eqnU1.gif?pub-status=live)
![](//static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Aarticle%3AS0022377800013556/resource/name/S0022377800013556_eqnU2.gif?pub-status=live)
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
![](//static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Aarticle%3AS0022377800013556/resource/name/S0022377800013556_eqnU3.gif?pub-status=live)
This is the double adiabatic counterpart to the m ╪ 0 Kadomtsev criterion of ideal MHD.