Journal of Guangxi University

Quantum effects of non-linear resistance mesoscopic circuit with infinitesimal variation of current

Yang Qing-y

Published Jan 1, 2013• 1 citation

Abstract

In order to study the quantum effect of non-linear mesoscopic circuit,the non-linear resistance mesoscopic RLC series circuit model was proposed. The circuit was quantized with the method of canonical transformation under infinitesimal current variation and the fluctuations of current and voltage in vaccum state were analyzed. Furthermore,the influences of the non-linear resistance on the fluctuations were analysed with the current-voltage characteristis of diode. The results show that non-linear resistence mesoscopic RLC series circuit is transformed into the linear circuit when current takes an infinitesimal variation. The quantization method of the circuit is similar to that of the linear circuit. The fluctuations of cuurent and voltage in vaccum state decay with time exponentially and the decay rate relates to resistance and inductance. At first,the magnitude of the fluctuations are decided by resistance,inductance,capacitance,and frequancy. The influence of nonlinear resistance on the fluctuations is transformed to the influence of current when non-linear resistance satisfies the characteristis of current-voltage of diode. And the circuit has null current fluctuation effects,which are related to the reverse saturation current of diode.

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