We use a large N-body simulation to study the characteristic scales in density gradient profiles and around halos with masses ranging from $10^{12}$ $10^{15} h^{-1}{\rm M_\odot}$. investigate separately along major (T_1) minor (T_3) axes of local tidal tensor how depend on halo mass, formation time, environment. find two kinds prominent features profiles, deep `valley' `peak'. Gaussian Process ...