Emergence of a negative resistance in noisy coupled linear oscillators

¹ Escuela Superior de Ingenieria Mecanica y Electrica-Culhuacan, IPN - Santa Ana 1000, 04430, D.F., México
² Centro de Física Aplicada y Tecnología Avanzada, UNAM Juriquilla - Boulevard Juriquilla 3001, 76230, Queretaro, México
³ Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México - Apartado Postal 70-543, 04510 Cd. Mx., México
⁴ Centro Mexicano para la Producción más Limpia, IPN - Acueducto S/N, 07340, D.F., México

^(a) rquintero@fata.unam.mx (corresponding author)

Received: 28 June 2016
Accepted: 21 December 2016

Abstract

We report on the experimental observation of an emerging negative resistance in a system of coupled linear electronic RLC harmonic oscillators under the influence of multiplicative noise with long correlation time. When two oscillators are coupled by a noisy inductor, an analysis in the Fourier space of the electrical variables unveils the presence of an effective negative resistance, which acts as an energy transport facilitator. This might constitute a simple explanation of the now fashionable problem of energy transport assisted by noise in classical systems. The experimental setup is based on the working principle of an analog computer and by itself constitutes a versatile platform for studying energy transport in noisy systems by means of coupled electrical oscillator systems.