The fluctuation-dissipation analysis is carried out for the loop nonlinear RLC-circuit in equilibrium on the basis
of the dual linear Langevin stochastic equations approach. It was found that the asymmetry of both the
voltage thermal fluctuations at the capacitor and the current thermal fluctuations at inductor is a function of the
resistor quadratic nonlinearity, the small signal capacity of capacitor, and the small signal inductance of
inductor. At the same time the nonlinear characteristics of both capacitor and inductor do not influence the
mentioned above asymmetries.
This work brings into use the well known circuit theory concept that states that the short-circuit noise current is related to the open-circuit noise voltage through a small-signal admittance (or small-signal impedance). This concept is perfectly illustrated by the famous Nyquist theorem for nonlinear equilibrium systems. The original results that are described in this report are as follows: (1) the equilibrium fluctuation-dissipation theorem of the 3rd order that is consistent with the cumulant spectrum invariance concept holds only for the bispectrum with equal frequencies, i.e. for the one-frequency bispectrum. (2) the one-frequency bispectrum of the equilibrium electrical fluctuations is proportional to magnitude of the small-signal quadratic rectification at the equilibrium state.
Conference Committee Involvement (1)
Noise and Information in Nanoelectronics, Sensors, and Standards III