Using Brownian molecular dynamics simulation, we study the surface dynamics
near the reconstruction transition of W(100) via a model Hamiltonian. Resu
lts for the softening and broadening of the surface phonon spectrum near th
e transition are compared with previous calculations and with He atom scatt
ering data. From the critical behavior of the central peak in the dynamical
structure factor, we also estimate the exponent of the power-law anomaly f
or adatom diffusion near the transition temperature.