Singularities in Hessian element distributions of amorphous media
We show that the distribution of elements H in the Hessian matrices associated with amorphous materials exhibit singularities P(H)∼|H|^{γ} with an exponent γ<0, as |H|→0. We exploit the rotational invariance of the underlying disorder in amorphous structures to derive these exponents exactly for...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-11-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.042025 |