The two-phase equilibrium states of a current-carrying thin supercondu
cting film in the case of convective heat transfer on the free surface
are considered, and their stability is investigated in a first approx
imation. It is shown that of the two equilibrium states, the state wit
h the normal-phase region of larger size is stable. In the limiting ca
se of an infinitely long film, the stable two-phase equilibrium state
tends to a spatially uniform normal state, and the unstable state rema
ins localized. In a definite range of values of the system parameters,
the relaxation time of such a formation can be fairly long, and it sh
ould be regarded as a quasistable equilibrium state. (C) 1998 American
Institute of Physics. [S1063-7842(98)01406-8].