  We investigate adsorption of a gas on the flat surface of a solid deformable
adsorbent taking into account thermal fluctuations and analyze in detail the
effect of thermal fluctuations on the adsorbent deformation in adsorption. The
condition for coexistence of two states of a bistable system of adsorbed
particles is derived. We establish the specific properties of the
adsorption-induced surface normal relaxation of an adsorbent caused by thermal
fluctuations. The mean transition times between two stable states of the
bistable system are derived in the parabolic approximation and in the general
case.
