Thermodynamic Theory of Weakly Excited Granular Materials
Hisao Hayakawa, Daniel C. Hong
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 Γin 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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