TY - JOUR
T1 - Bulk and surface floppy modes
AU - Thorpe, M. F.
N1 - Funding Information:
During the past twenty years, I have spent many happy periods of time talking about the subtleties of random networks with the late Frank Galeener. I know that Frank would appreciate the present piece of work as he was always intrigued by such questions. I also thank A. Angell, A. Bhattacharya, P. Boolchand, Y. Cai, J. Chen, A. R. Day, H. He, V. Heine, and M. Tamor for useful insights into this problem. This research was supported by the NSF under grants No. DMR-9024955 and CHE-9224102.
Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 1995/3/1
Y1 - 1995/3/1
N2 - In this paper most of the ideas that have been put forward over the past ten years on constraint counting and the resultant floppy modes in random networks are collected together. It is shown how model systems can help us understand the phenomena via rigidity percolation. These ideas have been tested experimentally in bulk glasses where the most illuminating experiments involve low frequency phonons as seen by inelastic neutron scattering in chalcogenide glasses. Other experiments, such as measurements of the elastic moduli, have been disappointing in that the effects are not resolved. Marginal cases where the instability is caused by the surface, leading to the number of floppy modes scaling with the surface area, are also examined. These effects may be important in porous silica, zeolites and possibly biological systems.
AB - In this paper most of the ideas that have been put forward over the past ten years on constraint counting and the resultant floppy modes in random networks are collected together. It is shown how model systems can help us understand the phenomena via rigidity percolation. These ideas have been tested experimentally in bulk glasses where the most illuminating experiments involve low frequency phonons as seen by inelastic neutron scattering in chalcogenide glasses. Other experiments, such as measurements of the elastic moduli, have been disappointing in that the effects are not resolved. Marginal cases where the instability is caused by the surface, leading to the number of floppy modes scaling with the surface area, are also examined. These effects may be important in porous silica, zeolites and possibly biological systems.
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U2 - 10.1016/0022-3093(94)00545-1
DO - 10.1016/0022-3093(94)00545-1
M3 - Article
AN - SCOPUS:33846140702
SN - 0022-3093
VL - 182
SP - 135
EP - 142
JO - Journal of Non-Crystalline Solids
JF - Journal of Non-Crystalline Solids
IS - 1-2
ER -