Angoricity and compactivity describe the jamming transition in soft particulate matter

Kun Wang, Chaoming Song, Ping Wang, Hernán A. Makse

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The application of concepts from equilibrium statistical mechanics to out-ofequilibrium systems has a long history of describing diverse systems ranging from glasses to granular materials. For dissipative jammed systems -particulate grains or droplets- a key concept is to replace the energy ensemble describing conservative systems by the volume-stress ensemble. Here, we test the applicability of the volume-stress ensemble to describe the jamming transition by comparing the jammed configurations obtained by dynamics with those averaged over the ensemble as a probe of ergodicity. Agreement between both methods suggests the idea of "thermalization" at a given angoricity and compactivity. We elucidate the thermodynamic order of the jamming transition by showing the absence of critical fluctuations in static observables like pressure and volume. The approach allows to calculate observables such as the entropy, volume, pressure, coordination number and distribution of forces to characterize the scaling laws near the jamming transition from a statistical mechanics viewpoint.

Original languageEnglish (US)
Article number68001
JournalEPL
Volume91
Issue number6
DOIs
StatePublished - Sep 2010
Externally publishedYes

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jamming
particulates
statistical mechanics
granular materials
coordination number
scaling laws
histories
entropy
thermodynamics
probes
glass
configurations
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Angoricity and compactivity describe the jamming transition in soft particulate matter. / Wang, Kun; Song, Chaoming; Wang, Ping; Makse, Hernán A.

In: EPL, Vol. 91, No. 6, 68001, 09.2010.

Research output: Contribution to journalArticle

Wang, Kun ; Song, Chaoming ; Wang, Ping ; Makse, Hernán A. / Angoricity and compactivity describe the jamming transition in soft particulate matter. In: EPL. 2010 ; Vol. 91, No. 6.
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