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We present the results of lattice computations of collisions of two expandingbubbles of true vacuum in the Abelian Higgs model with a first-order phasetransition. New time-dependent analytical solutions for the Abelian fieldstrength and the phase of the complex field are derived from initial conditionsinferred from linear superposition and are shown to be in excellent agreementwith the numerical solutions especially for the case where the initial phasedifference between the bubbles is small. With a step-function approximation forthe initial phase of the complex field, solutions for the Abelian fieldstrength and other gauge-invariant quantities are obtained in closed form.Possible extensions of the solution to the case of the electroweak phasetransition and the generation of primordial magnetic fields are brieflydiscussed.Comment: LaTeX, 41 pages, 6 figures, submitted to Physical Review

Phase equilibration and magnetic field generation in U(1) bubble collisions