Journal
PHYSICAL REVIEW LETTERS
Volume 119, Issue 21, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.119.215502
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Funding
- National Natural Science Foundation of China [21325418, 11574278]
- Fundamental Research Funds for the Central Universities [2030020028]
- Simons Foundation [454945, 348125]
- U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering [DE-FG02-05ER46199, DE-FG02-03ER46088]
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We consider the contribution to the density of vibrational states and the distribution of energy barrier heights of incipient instabilities in a glass modeled by a jammed packing of spheres. On approaching an instability, the frequency of a normal mode and the height of the energy barrier to cross into a new ground state both vanish. These instabilities produce a contribution to the density of vibrational states that scales as omega(3) at low frequencies omega, and a contribution to the distribution of energy barriers Delta H that scales as Delta H-1/3 at low barrier heights.
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