  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 another droplet (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 gas
(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 (anti)clusters 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 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.
