Fluid leakage 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

Fractal Structure Near the Percolation Threshold for YBa2Cu3O7 Epitaxial Films

Inhomogeneity of the properties of YBcr2Cu307 epitaxial c-oriented films has been investigated. Using a low temperature SEM the lateral distribution of local critical temperature has been determined with spatial resolution of 2 pm. The technique provides a direct observation of the percolative character of the superconducting transition on a microbridge scale. It is shown for the first time tha...

Randomly diluted xy and resistor networks near the percolation threshold.

A formulation based on that of Stephen for randomly diluted systems near the percolation threshold is analyzed in detail. By careful consideration of various limiting procedures, a treatment of xy spin models and resistor networks is given which shows that previous calculations (which indicate that these systems having continuous symmetry have the same crossover exponents as the Ising model) ar...