# Electrical Autonomous Brownian Gyrator

## TL;DR

This paper investigates an electronic system that mimics a Brownian gyrator, demonstrating how coupled resistor-capacitor circuits with different thermal baths produce gyrating stochastic dynamics, with implications for nanoscale heat transfer and ratchet mechanisms.

## Contribution

It provides experimental and theoretical analysis of a Brownian gyrator in an electronic circuit, confirming its behavior and dependencies on temperature difference and coupling.

## Key findings

- Gyrating dynamics depend on temperature difference and coupling strength.
- The system demonstrates heat transfer mechanisms consistent with Brownian ratchet principles.
- Experimental results support theoretical predictions of Brownian gyrator behavior.

## Abstract

We study experimentally and theoretically the steady-state dynamics of a simple stochastic electronic system featuring two resistor-capacitor circuits coupled by a third capacitor. The resistors are subject to thermal noises at real temperatures. The voltage fluctuation across each resistor can be compared to a one-dimensional Brownian motion. However, the collective dynamical behavior, when the resistors are subject to distinct thermal baths, is identical to that of a Brownian gyrator, as first proposed by R. Filliger and P. Reimann in Physical Review Letters 99, 230602 (2007). The average gyrating dynamics is originated from the absence of detailed balance due to unequal thermal baths. We look into the details of this stochastic gyrating dynamics, its dependences on the temperature difference and coupling strength, and the mechanism of heat transfer through this simple electronic circuit. Our work affirms the general principle and the possibility of a Brownian ratchet working near room temperature scale.