Abstract
We introduce the Ginzburg-Landau-Langevin (GLL) equation with the thermal noise different from the conventional white noise, which is called the modified thermal-noise Ginzburg-Landau-Langevin (MTN-GLL) equation. By the "new" GLL equation, we analyze the fluctuation properties of an isolated step on growing surface and derive the "distribution function" of the step. 0n the basis of the distribution function, we derive the MTN-GLL equation for many-step system. We compare the analytical result form the equation with a Monte-Carlo calculation.
