The Classical and Superconductive (Rigid) Percolation Models

Classical percolation is based on the suggestion that the physics of disordered systems near the threshold is dominated by singly connected red' bonds. In terms of the resistor network, these bonds carry the full current which goes through the circuit. Based on the Hall coefficient, Young's modulus and the Joule heat distribution functions, superconductive percolation shows exactly that the physics of disordered systems near the threshold is dominated by the poles, whose behavior is very different from singly connected 'red' bonds. The current does not go through the 'red' bonds but avoids them as soon as possible by choosing the easier path to flow. We have found an unexpected paradoxical situation in the percolation transition: superconductive behavior below and above the threshold.