At a pressure of 220 atm and a temperature of 374 degrees C there is a
second-order phase transition between water and steam. Understanding
it requires a key concept of both condensed matter and elementary part
icle physics: the renormalization group. Its basic ideas are explained
with images from computer simulations of the lattice gas model. Then
I briefly review how the renormalization group is used to compute crit
ical coefficients for the water-steam phase transition. The results of
this calculation are in good agreement with experiment. Finally, some
applications in particle physics and string theory are mentioned. (C)
1997 American Association of Physics Teachers.