Scalar percolation theory

Axelos, M. A. V. and Kolb, M. 1990. Crosslinked biopolymers experimental evidence for scalar percolation theory. Phys. Rev. Lett. 64 1457-1460. 

Scalar percolation theory deals with the connectivity of a component randomly dispersed in another [7-8]. Examples of percolation are gelation during a polymerization of monomers with multifunctional linkages and the onset of conductivity in blends of conducting and non-conducting materials [9-10]. The percolation threshold p for a finite-sized object is defined as the minimum concentration (of the percolating medium) at which connectivity is established between the top and bottom surface, is different for lattices of different geometry [7]. For Id site percolation, p = 59.20%, while = 31.17% for a cubic lattice. 

Cole et al. [55] investigated the degradability of corn starch based PE and modeled the role of biodegradation by a (scalar) percolation theory. Based on these researches Archer Daniels-Midland (ADM) Company developed a technology to make starch-based plastics. These materials were proposed for applications such as agricultural mulch and disposable packaging. 

---