Stochastic dynamics of granular hopper flows: a slow hidden mode controls the stability of clogs
arxiv(2023)
摘要
Granular flows in small-outlet hoppers exhibit intermittent clogging
behavior: while a temporary clog (pause) can last for an extended period before
flow spontaneously restarts, there are also permanent clogs that last beyond
experimental timescales. Here, we introduce a phenomenological model with
multiplicative noise that provides a dynamical explanation for these extreme
events: they arise due to coupling between the flow rate and a slow hidden mode
that controls the stability of clogs. The theory fully resolves the statistics
of pause and clog events, including the non-exponential clogging times and
non-Gaussian flow rate distribution and explains the stretched-exponential
growth of the average clogging time with outlet size. Our work provides a
framework for extracting features of granular flow dynamics from experimental
trajectories.
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