Self-organized branching of magnetotail current systems near the percolation threshold

Fluid leakage near the percolation threshold

Percolation is a concept widely used in many fields of research and refers to the propagation of substances through porous media (e.g., coffee filtering), or the behaviour of complex networks (e.g., spreading of diseases). Percolation theory asserts that most percolative processes are universal, that is, the emergent powerlaws only depend on the general, statistical features of the macroscopic ...

Flicker noise near the percolation threshold

2014 An effective-medium theory, for the flicker (1/f) noise amplitude, is formulated for random resistor networks. Close to the percolation threshold pc, the magnitude of the noise is shown to diverge as (p pc)-03BA, with 03BA = 1 for both site and bond percolation models. The exponent 03BA is also calculated in the framework of two different renormalization group transformations. The possible...

Dielectric scaling near a percolation threshold

Self-organized criticality in the intermediate phase of rigidity percolation.

Experimental results for covalent glasses have highlighted the existence of a self-organized phase due to the tendency of glass networks to minimize internal stress. Recently, we have shown that an equilibrated self-organized two-dimensional lattice-based model also possesses an intermediate phase in which a percolating rigid cluster exists with a probability between zero and one, depending on ...

Critical Behavior of Random Resistor Networks Near the Percolation Threshold

We use low-density series expansions to calculate critical exponents for the behavior of random resistor networks near the percolation threshold as a function of the spatial dimension d. By using scaling relations, we obtain values of the conductivity exponent μ. For d=2 we find μ=1.43±0.02, and for d=3, μ=1.95±0.03, in excellent agreement with the experimental result of Abeles et al. Our resul...