Effective nonlinear response of fractal clusters
Abstract
The enhancement in the effective response due to clustering of a nonlinear material in a host medium is demonstrated in an exactly solvable fractal model. We calculate the effective nonlinear response of a fractal cluster embedded in a hierarchical lattice. The results show that a large enhancement in the nonlinear response is found for the case of a nonlinear fractal embedded in a linear host and when the linear host is the better conductor.
- Publication:
-
Physical Review B
- Pub Date:
- April 1994
- DOI:
- 10.1103/PhysRevB.49.9989
- Bibcode:
- 1994PhRvB..49.9989Y
- Keywords:
-
- 77.22.Ch;
- 72.20.Ht;
- 72.60.+g;
- 05.50.+q;
- Permittivity;
- High-field and nonlinear effects;
- Mixed conductivity and conductivity transitions;
- Lattice theory and statistics