1/f Noise from the Linear Diffusion Equation

Henrik Jeldtoft Jensen

Physica Scripta, vol. 43, 593-595 (1991)

Abstract

It is pointed out that the ordinary linear diffusion equation dP(r,t)/dt=gamma D2 P(r,t), without any source term, leads to a 1/f power spectrum in any spatial dimension if the system is driven by a white noise boundary condition.

math model of 1/f section