Free one-dimensional diffusion

Let us consider this process analytically. We shall calculate the spectrum of noise that arises from free one-dimensional diffusion of a particle, whose coordinate determines the value to be measured. First, let this value be defined as a periodical function of a coordinate that changes abruptly from zero to G0 at equal intervals 2i. To visualize the model, imagine a single ion channel that undergoes one-dimensional diffusion through the areas where it can transport ions divided by the areas where it cannot transport ions (Figure... 

Spectra calculated for several different functions G(x) are presented in Figure 9. The model of noise at free one-dimensional diffusion can describe... 

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