Analytic Scaling Functions Applicable to Dispersion Measurements
| dc.creator | McLachlan, D. S. | |
| dc.creator | Heiss, W. D. | |
| dc.creator | Chiteme, C. | |
| dc.creator | Wu, Junjie | |
| dc.date | 1998-09-23 | |
| dc.date.accessioned | 2026-07-07T03:11:33Z | |
| dc.date.available | 2026-07-07T03:11:33Z | |
| dc.description | Scaling functions, $F_+(ω/ω_c^+)$ and $F_-(ω/ω_c^-)$ for $ϕ>ϕ_c$ and $ϕ<ϕ_c$, respectively, are derived from an equation for the complex conductivity of binary conductor-insulator composites. It is shown that the real and imaginary parts of $F_{\pm}$ display most properties required for the percolation scaling functions. One difference is that, for $ω/ω_c<1$, $\Re F_-(ω/ω_c)$ has an $ω$-dependence of $(1+t)/t $ and not $ω^2$ as previously predicted, but never conclusively observed. Experimental results on a Graphite-Boron Nitride system are given which are in reasonable agreement with the $ω^{(1+t)/t}$ behaviour for $\Re F_-$. Anomalies in the real dielectric constant just above $ϕ_c$ are also discussed. | |
| dc.description | 26 pages, Latex, 5 postscript figures, to appear November 15 in PhysRev B15 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9809314 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9809314 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28616 | |
| dc.subject | Condensed Matter | |
| dc.title | Analytic Scaling Functions Applicable to Dispersion Measurements | |
| dc.type | text |