Switching time distributions and scaling behavior in a bistable tunnel diode circuit with adjustable noise intensity

We report the measurement of first-passage time distributions associated with electrical current switching in a tunnel diode circuit that is driven by a noise generator with adjustable noise intensity $D$. The tunnel diode circuit is biased with a voltage $V_{\mathrm{f}}$ that is set in a range of bistability which terminates at the upper end in a saddle-node bifurcation at voltage $V_{\mathrm{th}}$. We employ a high bandwidth technique that permits measurement of stochastically-varying switching times over a very large dynamic range [1], with measured times ranging from 1 $\mu $s to several seconds. The dependence of both the form of the distribution and extracted mean switching time $\tau $ are also studied as a function of reduced voltage $V_{\mathrm{th}} - V_{\mathrm{f}}$ and $D$. Switching time distributions are generally found to possess exponential tails at long times, consistent with a picture of noise-induced escape via a single saddle point. Also, parameter regimes are identified in which the mean switching time scales as reduced voltage to the 3/2 power and linearly with inverse noise intensity. [1] Yu. Bomze, R. Hey, H. T. Grahn, and S. W. Teitsworth, Phys. Rev. Lett. \textbf{109}, 026801 (2012).