Abstract
The formalism of nonlinear irreversible thermodynamics, as recently given by us, is applied to a circuit containing a capacitor and a nonlinear resistor. The solution is compared with those obtained by M. Lax and other investigators. It is shown that the fluctuation-dissipation theorem is rigorous, and that no correction factors need be introduced for nonlinear systems. The dynamical behavior of the microscopic fluctuations, from which the macroscopic motion can be obtained, is also derived. Finally, a specific Markoffian model of a nonlinear $R\ensuremath{-}C$ system, in strong interaction with a temperature reservoir, is shown to be consistent with the general analysis.
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