Fluctuations in Ionic Current

The energy associated with creating a change of ST in the capacitor is (Young and Freedman 2000) 

Because the probability W 8V) of realizing a fluctuation SV is given by the Boltzmann distribution function in E/ksT, 

The occurrence of SV is equivalent to a flow of current I. Since the rate of change of the charge is the current, 

This is a standard result for RC-circuits (Young and Freedman 2000). In the presence of noise in the circuit, Equation 8.71 is modified to 

By multiplying this equation by 57(0) and performing the average over the fluctuating noise, we get 

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Chang H et al (2004) DNA-mediated fluctuations in ionic current through silicon oxide nanopore channels. Nano Lett 4 1551-1556... 

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