[en] For slow-roll inflation we study the phase transition to the eternal regime. Starting from a finite inflationary volume, we consider the volume of the universe at reheating as order parameter. We show that there exists a critical value for the classical inflation speed, φ-dot²/H⁴ = 3/(2 π²), where the probability distribution for the reheating volume undergoes a sharp transition. In particular, for sub-critical inflation speeds all distribution moments become infinite. We show that at the same transition point the system develops a non-vanishing probability of having a strictly infinite reheating volume, while retaining a finite probability for finite values. Our analysis represents the exact quantum treatment of the system at lowest order in the slow-roll parameters and H²/M_Pl². (author)