TY - JOUR
T1 - Fluctuation-Stabilized Marginal Networks and Anomalous Entropic Elasticity
AU - Dennison, M.
AU - Sheinman, M.
AU - Storm, C.
AU - Mac Kintosh, F.C.
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevLett.111.095503
DO - 10.1103/PhysRevLett.111.095503
M3 - Article
VL - 111
SP - 095503
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 9
M1 - 095503
ER -