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Full-Text Articles in Physics
Comment On "Percolation In Isotropic Elastic Media.", Anthony Day, M. Thorpe
Comment On "Percolation In Isotropic Elastic Media.", Anthony Day, M. Thorpe
Anthony Roy Day
No abstract provided.
Spectral Dimensionality Of Random Superconducting Networks, Anthony Roy Day, W. Xia, M. F. Thorpe
Spectral Dimensionality Of Random Superconducting Networks, Anthony Roy Day, W. Xia, M. F. Thorpe
Anthony Roy Day
We compute the spectral dimensionality d-tilde of random superconducting-normal networks by directly examining the low-frequency density of states at the percolation threshold. We find that d-tilde=4.1±0.2 and 5.8±0.3 in two and three dimensions, respectively, which confirms the scaling relation d-tilde=2d/(2-s/ nu ), where s is the superconducting exponent and nu the correlation-length exponent for percolation. We also consider the one-dimensional problem where scaling arguments predict, and our numerical simulations confirm, that d-tilde=0. A simple argument provides an expression for the density of states of the localized high-frequency modes in this special case. We comment on the connection between our calculations …
Stability Of Networks Under Tension And Pressure, Anthony Roy Day, H. Yan, M. F. Thorpe
Stability Of Networks Under Tension And Pressure, Anthony Roy Day, H. Yan, M. F. Thorpe
Anthony Roy Day
The number of zero-frequency modes of an elastic network is an important quantity in determining the stability of the network. We present a constraint-counting method for finding this number in general central-force networks that are under an external tension. The technique involves isolating the backbone and then counting constraints in the same way as for free standing networks. A detailed example of this counting is given for a random two-dimensional network subject to an external tension. The results are shown to agree with the number of zero-frequency modes as determined by a direct matrix diagonalization.