caa a22 4500 445365986 CHVBK 20180317142930.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s10909-010-0322-0 doi (NATIONALLICENCE)springer-10.1007/s10909-010-0322-0 Shear Modulus in Viscoelastic Solid 4He [Elektronische Daten] [Jung-Jung Su, Matthias Graf, Alexander Balatsky] The complex shear modulus of solid 4He exhibits an anomaly in the same temperature region where torsion oscillators show a change in period. We propose that the observed stiffening of the shear modulus with decreasing temperature can be well described by the response of glassy components inside of solid 4He. Since glass is an anelastic material, we utilize the viscoelastic approach to describe its dynamics. The viscoelastic component possesses an increasing relaxation as temperature decreases. The response functions thus derived are identical to those obtained for a glassy, time-delayed restoring back-action. By generalizing the viscoelastic equations for stress and strain to a multiphase system of constituents, composed of patches with different damping and relaxation properties, we predict that the maximum change of the magnitude of the shear modulus and the maximum height of the dissipation peak are independent of an applied external frequency. The same response expressions allow us to calculate the temperature dependence of the shear modulus' amplitude and dissipation. Finally, we demonstrate that a Vogel-Fulcher-Tammann (VFT) relaxation time is in agreement with available experimental data. Springer Science+Business Media, LLC, 2010 Shear modulus nationallicence Solid 4He nationallicence Viscoelastics nationallicence Glass nationallicence Supersolid nationallicence Su Jung-Jung Theoretical Division, Los Alamos National Laboratory, 87545, Los Alamos, NM, USA aut Graf Matthias Theoretical Division, Los Alamos National Laboratory, 87545, Los Alamos, NM, USA aut Balatsky Alexander Theoretical Division, Los Alamos National Laboratory, 87545, Los Alamos, NM, USA aut Journal of Low Temperature Physics Springer US; http://www.springer-ny.com 162/5-6(2011-03-01), 433-440 0022-2291 162:5-6<433 2011 162 10909 https://doi.org/10.1007/s10909-010-0322-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10909-010-0322-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Su Jung-Jung Theoretical Division, Los Alamos National Laboratory, 87545, Los Alamos, NM, USA aut NATIONALLICENCE 700 1- Graf Matthias Theoretical Division, Los Alamos National Laboratory, 87545, Los Alamos, NM, USA aut NATIONALLICENCE 700 1- Balatsky Alexander Theoretical Division, Los Alamos National Laboratory, 87545, Los Alamos, NM, USA aut NATIONALLICENCE 773 0- Journal of Low Temperature Physics Springer US; http://www.springer-ny.com 162/5-6(2011-03-01), 433-440 0022-2291 162:5-6<433 2011 162 10909 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer