Fig. 3: Length distributions and extension probabilities of linear bridges.
From: Identifying bridges from asymmetric load-bearing structures in tapped granular packings
a Length distributions of linear bridges \({P}_{{{{\rm{lin}}}}}(n)\) identified using the LCOM method for different packings. The solid lines are fittings using \({P}_{{{{\rm{lin}}}}}(n)=\frac{\exp (-\alpha n)}{{\sum}_{n}\exp (-\alpha n)}\), where \(p=\exp (-\alpha )\) is the probability that a linear bridge extends from length \(n\) to \(n+1\). b Extension probability \(p\) and average bridge length \(\langle n\rangle\) (inset) for the LCOM, LSQS, and RANDOM methods in different packings as a function of the average contact number \(Z\). The solid curves correspond to the results of the theoretical model. Each data point corresponds to the mean value of 10–15 independent experiments; error bars indicate standard deviations.
