Thermodynamic Theory of Weakly Excited Granular Materials
Hisao Hayakawa, Daniel C. Hong
TL;DR
This paper develops a thermodynamic framework for weakly excited granular materials, modeling their configurational statistics with Fermi-Dirac statistics and introducing a global temperature linked to vibration amplitude.
Contribution
It introduces a novel thermodynamic theory for granular systems using elementary excitations akin to spinless Fermions, connecting vibration amplitude to temperature.
Findings
Granular configurations follow Fermi statistics.
A global temperature T is associated with vibration amplitude Gamma.
The theory provides a new perspective on granular thermodynamics.
Abstract
We present a thermodynamic theory of weakly excited two-dimensional granular systems from the view point of elementary excitations of spinless Fermion systems. We introduce a global temperature T that is associated with the acceleration amplitude \Gamma in a vibrating bed. We show that the configurational statistics of weakly excited granular materials in a vibrating bed obey the Fermi statistics.
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