It is shown that an application of theories developed on the assumption of the stationary thermal conditions for discussing the results on kinetic experiments with small volumes of solutions in melts is incorrect if the strong measures on eliminating temperature oscillations in these experiments are not taken. The results on an analysis of the influence of various temperature changes on the velocity of migration of liquid interlayers through a crystalline wafer are presented and discussed. Criteria for thermally stationary conditions in kinetic experiments are deduced. (C) 2010 Elsevier B.V. All rights reserved.