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The close analogy between cluster percolation and string proliferation in thecontext of critical phenomena is studied. Like clusters in percolation theory,closed strings, which can be either finite-temperature worldlines ortopological line defects, are described by a distribution parametrized by onlytwo exponents. On approaching the critical point, the string tension vanishes,and the loops proliferate thereby signalling the onset of Bose-Einsteincondensation (in case of worldlines) or the disordering of the ordered state(in case of vortices). The ideal Bose gas with modified energy spectrum is usedas a stepping stone to derive general expressions for the critical exponents interms of the two exponents parameterizing the loop distribution nearcriticality.Comment: 12 pages, 3x2 figure

Percolation, Bose-Einstein condensation, and string proliferation