  We study the dynamics of domain formation and coarsening in a binary
Bose-Einstein condensate that is quenched across a miscible-immiscible phase
transition. The late-time evolution of the system is universal and governed by
scaling laws for the correlation functions. We numerically determine the
scaling forms and extract the critical exponents that describe the growth rate
of domain size and autocorrelations. Our data is consistent with inviscid
hydrodynamic domain growth, which is governed by a universal dynamical critical
exponent of $1/z = 0.68(2)$. In addition, we analyze the effect of domain wall
configurations which introduce a nonanalytic term in the short-distance
structure of the pair correlation function, leading to a high-momentum
"Porod"-tail in the static structure factor, which can be measured
experimentally.
