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Here we revisit the bag phenomenology of the deconfining phase transition toreplenish it by introducing systematically the bag surface tension. Comparingthe free energy of such bags and that one of the strings confining the staticquark-antiquark pair, we express the string tension in terms of the bag surfacetension and thermal pressure in order to estimate the bag characteristics usingthe lattice QCD data. Our analysis of the bag entropy density demonstrates thatthe surface tension coefficient is amazingly negative at the cross-over(continuous transition). This approach allows us to naturally account for anappearance of a very pronounced maximum (observed in the lattice QCDsimulations) of the entropy of the bound static quark-antiquark pair. Thevicinity of the (tri)critical endpoint is also analyzed to clarify the meaningof vanishing surface tension coefficient.

On Relation Between the Quark Gluon Bag Surface Tension and the Colour Tube String Tension