Granular Brownian Motor
B. Cleuren, C. Van den Broeck
TL;DR
This paper analyzes a granular Brownian motor where an asymmetric object gains average velocity through dissipative collisions, with analytical calculations validated by Monte Carlo simulations.
Contribution
It introduces an analytical approach to compute the average velocity of a granular Brownian motor using Boltzmann equation expansion, supported by simulation validation.
Findings
Analytical expression for average velocity derived
Monte Carlo simulations confirm theoretical predictions
Asymmetry and dissipation lead to directed motion
Abstract
An asymmetric object, undergoing dissipative collisions with surrounding particles, acquires a nonzero average velocity. The latter is calculated analytically by an expansion of the Boltzmann equation and the result is compared with Monte Carlo simulations.
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