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Friction-Controlled Entropy-Stability Competition in Granular Systems

Xulai Sun, Walter Kob, Raphaël Blumenfeld, Hua Tong, Yujie Wang, Jie Zhang

2020Physical Review Letters36 citationsDOIOpen Access PDF

Abstract

Using cyclic shear to drive a two-dimensional granular system, we determine the structural characteristics for different interparticle friction coefficients. These characteristics are the result of a competition between mechanical stability and entropy, with the latter's effect increasing with friction. We show that a parameter-free maximum-entropy argument alone predicts an exponential cell order distribution, with excellent agreement with the experimental observation. We show that friction only tunes the mean cell order and, consequently, the exponential decay rate and the packing fraction. We further show that cells, which can be very large in such systems, are short-lived, implying that our systems are liquidlike rather than glassy.

Topics & Concepts

Entropy (arrow of time)Exponential functionMaterials scienceExponential growthGranular materialInstabilityStatistical physicsMechanicsThermodynamicsPhysicsMathematicsComposite materialMathematical analysisGranular flow and fluidized bedsMaterial Dynamics and PropertiesHigh-pressure geophysics and materials
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