The noise circuit theory is used to analyze the asymmetry (skewnees) of thermal current fluctuations in the equilibrium nonlinear LR-circuit. We prove that the asymmetry of thermal current fluctuations at the inductor depends on the resistance nonlinearity and is independent of the inductance nonlinearity. A comparison between results of noise circuit theory and results of Gibbs statistical ensemble method shows that the Gibbs statistical ensemble method does not work when one is interested in calculating the nonlinear thermal fluctuations.
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