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The liquid droplet formula is applied to an analysis of the properties ofgeometrical (anti)clusters formed in SU(2) gluodynamics by the Polyakov loopsof 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 liquiddroplets (the largest cluster of a certain Polyakov loop sign) experiences acondensation, while the droplet of another liquid (the next to the largestcluster of the opposite sign of Polyakov loop) evaporates. The clusters ofsmaller sizes form two accompanying gases, which behave oppositely to theirliquids. The liquid droplet formula is used to analyze the size distributionsof the gaseous (anti)clusters. The fit of these distributions allows us toextract the temperature dependence of surface tension and the value of Fishertopological exponent $\tau$ for both kinds of gaseous clusters. It is shownthat the surface tension coeficient of gaseous (anti)clusters can serve as anorder parameter of the deconfinement phase transition in SU(2) gluodynamics.The Fisher topological exponent $\tau$ of clusters and anticlusters is found tohave the same value $1.806 \pm 0.008$. This value disagrees with the famousFisher droplet model, but it agrees well with an exactly solvable model of thenuclear liquid-gas phase transition. This finding may evidence for the factthat the SU(2) gluodynamics and this exactly solvable model of nuclearliquid-gas phase transition are in the same universality class.

Geometrical clusterization of Polyakov loops in SU(2) lattice gluodynamics