Fluctuation-Stabilized Marginal Networks and Anomalous Entropic Elasticity

M. Dennison, M. Sheinman, C. Storm, F.C. Mac Kintosh

Research output: Contribution to JournalArticleAcademicpeer-review


We study the elastic properties of thermal networks of Hookean springs. In the purely mechanical limit, such systems are known to have a vanishing rigidity when their connectivity falls below a critical, isostatic value. In this work, we show that thermal networks exhibit a nonzero shear modulus G well below the isostatic point and that this modulus exhibits an anomalous, sublinear dependence on temperature T. At the isostatic point, G increases as the square root of T, while we find GaTα below the isostatic point, where α 0.8. We show that this anomalous T dependence is entropic in origin. © 2013 American Physical Society.
Original languageEnglish
Article number095503
Pages (from-to)095503
JournalPhysical Review Letters
Issue number9
Publication statusPublished - 2013


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