The condition of minimum entropy production has been used previously by the
author [see Yu. V. Vandakurov, Proceedings of the SOHO 6/GONG 98 Workshop,
Boston (1998), Vol. 1, pp. 567-571; Conference on the New Activity Cycle o
f the Sun [in Russian], St. Petersburg, Pulkovo (1998); Zh. Tekh. Fiz. (199
9) [in press]] to find the rotation of stellar convective zones and, in par
ticular, to find the latitude distribution of the rotation near the Sun. It
turns out, however, that the self-excitation of even very slow meridional
flows of the medium leads to "smearing" of the entropy-production minima th
at were considered in the papers cited. In the presence of a toroidal magne
tic field the "smearing" effect is eliminated. In the case of rotation of t
he solar type the necessary field is of the order of 10 kG, which can appar
ently be reconciled with the magnetic fields in bursts on the Sun. (C) 1999
American Institute of Physics. [S1063-7850(99)03005-0].