Analysis of Bulk Negative Differential Mobility Element in a Circuit Containing Reactive Elements

The time and space evolution of the electric field in an inhomogeneous bulk negative differential mobility (NDM) element with a high n0l product, and the response of the surrounding lumped‐element circuit, is theoretically investigated. We consider a circuit in which an NDM element of low‐field resistance R0 and intrinsic capacitance C0 is in parallel with a parasitic capacitor Cp and in series with a load resistor, inductor L, and a battery. Exact numerical and approximate analytic solutions are obtained and discussed in terms of a damping parameter A [=(LC)1/2/R0C, where C=C0+Cp] and the ratio C0/C. Various oscillatory modes can all occur in the same NDM element for appropriate values of the circuit parameters. The dominant mode of circuit‐controlled oscillation in a series L‐parallel C circuit is the quenched multiple‐dipole relaxation mode. LSA relaxation oscillations occur only for a narrow range of circuit parameters and LSA sinusoidal oscillations are excluded because of domain domination, even for...

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