Hysteresis in vibrated granular media

A. Prados, J.Javier Brey and B. Sánchez-Rey

Physica A: Statistical Mechanics and its Applications, 2000, vol. 284, issue 1, 277-298

Abstract: Some general dynamical properties of models for compaction of granular media based on master equations are analyzed. In particular, a one-dimensional lattice model with short-ranged dynamical constraints is considered. The stationary state is consistent with Edward's theory of powders. The system is submitted to processes in which the tapping strength is monotonically increased and decreased. In such processes the behavior of the model resembles the reversible–irreversible branches which have been recently observed in experiments. This behavior is understood in terms of the general dynamical properties of the model, and related to the hysteresis cycles exhibited by structural glasses in thermal cycles. The existence of a “normal” solution, i.e., a special solution of the master equation which is monotonically approached by all the other solutions, plays a fundamental role in the understanding of the hysteresis effects.

Keywords: Granular media; Master equation; Hysteresis; Normal solution (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:284:y:2000:i:1:p:277-298

DOI: 10.1016/S0378-4371(00)00115-1

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