Roughening of two-dimensional interfaces in nonequilibrium phase-separated systems
Roughening of two-dimensional interfaces in nonequilibrium phase-separated systems
I show that nonequilibrium two-dimensional interfaces between three-dimensional phase separated fluids exhibit a peculiar "sublogarithmic" roughness. Specifically, an interface of lateral extent L will fluctuate vertically (i.e., normal to the mean surface orientation) a typical rms distance w≡sqrt[〈|h(r,t)|^{2}〉]∝[ln(L/a)]^{1/3} [where a is a microscopic length, and h(r,t) is the height of …