  The liquid droplet formula is applied to an analysis of the properties of
geometrical (anti)clusters formed in SU(2) gluodynamics by the Polyakov loops
of the same sign. Using this approach, we explain the phase transition in SU(2)
gluodynamics as a transition between two liquids during which one of the liquid
droplets (the largest cluster of a certain Polyakov loop sign) experiences a
condensation, while the droplet of another liquid (the next to the largest
cluster of the opposite sign of Polyakov loop) evaporates. The clusters of
smaller sizes form two accompanying gases, which behave oppositely to their
liquids. The liquid droplet formula is used to analyze the size distributions
of the gaseous (anti)clusters. The fit of these distributions allows us to
extract the temperature dependence of surface tension and the value of Fisher
topological exponent $\tau$ for both kinds of gaseous clusters. It is shown
that the surface tension coeficient of gaseous (anti)clusters can serve as an
order parameter of the deconfinement phase transition in SU(2) gluodynamics.
The Fisher topological exponent $\tau$ of clusters and anticlusters is found to
have the same value $1.806 \pm 0.008$. This value disagrees with the famous
Fisher droplet model, but it agrees well with an exactly solvable model of the
nuclear liquid-gas phase transition. This finding may evidence for the fact
that the SU(2) gluodynamics and this exactly solvable model of nuclear
liquid-gas phase transition are in the same universality class.
