  The formation of an adatom adsorption structure in dynamic force microscopy
experiment is shown as a result of the spontaneous appearance of shear strain
caused by external supercritical heating. This transition is described by the
Kelvin-Voigt equation for a viscoelastic medium, the relaxation
Landau-Khalatnikov equation for shear stress, and the relaxation equation for
temperature. It is shown that these equations formally coincide with the
synergetic Lorenz system, where the shear strain acts as the order parameter,
the conjugate field is reduced to the stress, and the temperature is the
control parameter. Within the adiabatic approximation, the steady-state values
of these quantities are found. Taking into account the sample shear modulus vs
strain dependence, the formation of the adatom adsorption configuration is
described as the first-order transition. The critical temperature of the tip
linearly increases with the growth of the effective value of the sample shear
modulus and decreases with the growth of its typical value.
