Scaling Properties of Domain Wall Networks
  We revisit the cosmological evolution of domain wall networks, taking
advantage of recent improvements in computing power. We carry out
high-resolution field theory simulations in two, three and four spatial
dimensions to study the effects of dimensionality and damping on the evolution
of the network. Our results are consistent with the expected scale-invariant
evolution of the network, which suggests that previous hints of deviations from
this behavior may have been due to the limited dynamical range of those
simulations. We also use the results of very large ($1024^3$) simulations in
three cosmological epochs to provide a calibration for the velocity-dependent
one-scale model for domain walls: we numerically determine the two free model
parameters to have the values $c_w=0.5\pm0.2$ and $k_w=1.1\pm0.3$.
