Isoenergetic Jamming Transition in Particle-Filled Systems

Christopher G. Robertson and Xiaorong Wang
Phys. Rev. Lett. 95, 075703 – Published 12 August 2005

Abstract

A full understanding of the jamming transition remains elusive, but recent advances which draw upon the common features of frustrated systems are encouraging. Herein, we show that, for mixtures of oil and silica particles, the dependence of the dejamming stress on filler volume fraction, ϕ, is consistent with the shape of a reported jamming phase diagram [Trappe et al., Nature (London) 411, 772 (2001)]. We discover for the first time, however, that the role of ϕ disappears when mechanical energy input, defined as stress multiplied by strain, is used instead of stress as the critical parameter. We also examine literature results for aqueous suspensions of boehmite alumina powders, latex dispersions of polystyrene particles, and carbon black-filled elastomers in order to illustrate the universality of our finding. This study provides evidence for a thermodynamic interpretation of the jamming transition.

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  • Received 22 February 2005

DOI:https://doi.org/10.1103/PhysRevLett.95.075703

©2005 American Physical Society

Authors & Affiliations

Christopher G. Robertson and Xiaorong Wang

  • Bridgestone Americas, Center for Research and Technology, 1200 Firestone Parkway, Akron, Ohio 44317-0001, USA

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Issue

Vol. 95, Iss. 7 — 12 August 2005

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