"Stochastic Analysis on Large Scale Interacting Systems". October 26~29, 2015. edited by Ryoki Fukushima, Tadahisa Funaki, Yukio Nagahata, Makoto Nakashima, Hirofumi Osada and Yoshiki Otobe. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.We report recent rigorous and numerical results obtained on the derivation of Fick's law for deterministic dynamics in random environment