Expansion into the vacuum of stochastic gases with long-range
interactions
Expansion into the vacuum of stochastic gases with long-range
interactions
We study the evolution of a system of many point particles initially concentrated in a small region in $d$ dimensions. Particles undergo overdamped motion caused by pairwise interactions through the long-ranged repulsive $r^{-s}$ potential; each particle is also subject to Brownian noise. When $s<d$, the expansion is governed by non-local …