Abstract
The authors present values of the bicritical macroscopic conductivity exponent nu , which was recently defined for the random resistor lattice. For dimensionality D=2, the value is obtained exactly by exploiting the properties of the dual lattice. In three dimensions a potential problem is solved approximately on a 34*34*34 computer-simulated cubic lattice. For infinite dimensionality, the exponent is extracted by treating the Cayley tree lattice. The authors find: nu (D=2)=0(exact); nu (D=3)=0.78+or-0.10; nu (D= infinity )=2(exact). Knowledge of the nu exponent is shown to be a necessary prerequisite for a complete understanding of the critical behaviour of multiphase inhomogeneous conducting systems.
Original language | English |
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Article number | 013 |
Pages (from-to) | 1-8 |
Number of pages | 8 |
Journal | Journal of Physics C: Solid State Physics |
Volume | 12 |
Issue number | 1 |
DOIs | |
State | Published - 1979 |
ASJC Scopus subject areas
- Condensed Matter Physics
- General Engineering
- General Physics and Astronomy