TY - JOUR AU - Guz, C. A. AU - Sviridov, M. V. PY - 2017/07/01 TI - Brownian motion under the influence of green noise JF - Quarterly Physics Review; Vol 3 No 2 (2017): Vol. 3 Issue 2, July 2017 KW - N2 - Abstract The motion of a Brownian particle is examined when exposed to green noise generated with a randomly localized potential function. To investigate this motion, an averaging method was developed which is valid for any intensity external noises. For the case of a limited quasi-periodic model potential, the particle trajectory implementations were numerically calculated. It is shown that introducing the effective potential in a certain manner plays a critical role when studying the possibility of a phase transition in a given system. UR - https://esmed.org/MRA/qpr/article/view/1326