Stability and anomalous entropic elasticity of subisostatic random-bond networks

M.C. Wigbers, F.C. Mac Kintosh, M. Dennison

Research output: Contribution to JournalArticleAcademicpeer-review


We study the elasticity of thermalized spring networks under an applied bulk strain. The networks considered are subisostatic random-bond networks that, in the athermal limit, are known to have vanishing bulk and linear shear moduli at zero bulk strain. Above a bulk strain threshold, however, these networks become rigid, although surprisingly the shear modulus remains zero until a second, higher, strain threshold. We find that thermal fluctuations stabilize all networks below the rigidity transition, resulting in systems with both finite bulk and shear moduli. Our results show a T0.66 temperature dependence of the moduli in the region below the bulk strain threshold, resulting in networks with anomalously high rigidity as compared to ordinary entropic elasticity. Furthermore, we find a second regime of anomalous temperature scaling for the shear modulus at its zero-temperature rigidity point, where it scales as T0.5, behavior that is absent for the bulk modulus since its athermal rigidity transition is discontinuous.
Original languageEnglish
Pages (from-to)042145
JournalPhysical Review E
Publication statusPublished - 2015


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