Quasi-thermodynamics of powders and granular dynamics
Literature Information
Radhika S. Saksena, Leslie V. Woodcock
Granular dynamics simulations of inelastic spheres thermalised by mechanical vibrations are reported. The objective is to determine the conditions whereby inelastic spheres in a gravitational force field can behave quasi-thermodynamically. Granular temperatures and granular pressures are defined by analogy with molecular thermodynamics. Quasi-thermodynamic property profiles are then investigated as a function of the system state variables, surface density, gravitational field, and the vibrational frequency and amplitude. A quasi-thermodynamic phase-behaviour of crystallisation equilibria, and also mixing and segregation phenomena in binary systems, are observed. Conditions for granular steady-states to obey laws of corresponding states with small inhomogeneous thermodynamics systems are obtained. The results for a binary system are consistent with the thermodynamic interpretation of recently discovered experimental phase behaviour of binary powders fluidised by acoustic vibrations. The results may be regarded as a step towards a more formal description of various “self-assembly” phenomena of granular colloids, as ordering transitions of quasi-thermodynamic small systems.
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