Topic
Percolation
About: Percolation is a research topic. Over the lifetime, 11031 publications have been published within this topic receiving 283312 citations.
Papers published on a yearly basis
Papers
More filters
01 Nov 2008
TL;DR: In this paper, the basic percolation theory and fractal dimensions are introduced to describe mechanisms of gate oxide wearout and breakdown in nano-scale, and the characteristics of time dependent dielectric breakdown (TDDB) for ultra-thin gate oxide mainly via percolations model.
Abstract: Gate oxide breakdown is a key mechanism limiting IC lifetime. In this paper, the basic percolation theory and fractal dimensions are introduced to describe mechanisms of gate oxide wearout and breakdown in nano-scale. We also examine the characteristics of time dependent dielectric breakdown(TDDB) for ultra-thin gate oxide mainly via percolation model. From the fractal dimension describing complex geometrical structures, we investigate the relationship between the gate oxide structure and the critical defect density in ultrathin gate oxide breakdown.
TL;DR: In this article, a site-bond percolation threshold in many lattices in two to five dimensions is presented, where the line of threshold values has been parametrized in the literature, but there are strong deviations from the known approximate equations.
Abstract: A calculation of site-bond percolation thresholds in many lattices in two to five dimensions is presented. The line of threshold values has been parametrized in the literature, but we show here that there are strong deviations from the known approximate equations. We propose an alternative parametrization that lies much closer to the numerical values
TL;DR: In this paper, the percolation and coverage properties of a region L = {( x, y ): 0 ≤ y ≤ C log(1 + x ), x > 0} for a constant C > 0.
Abstract: Consider the region L = {( x , y ): 0 ≤ y ≤ C log(1 + x ), x > 0} for a constant C > 0. We study the percolation and coverage properties of this region. For the coverage properties, we place a Poisson point process of intensity λ on the entire half space R + x R and associated with each Poisson point we place a box of a random side length ρ. Depending on the tail behaviour of the random variable ρ we exhibit a phase transition in the intensity for the eventual coverage of the region L . For the percolation properties, we place a Poisson point process of intensity λ on the region R 2 . At each point of the process we centre a box of a random side length ρ. In the case ρ ≤ R for some fixed R > 0 we study the critical intensity λ c of the percolation on L .
TL;DR: In this paper, a model of percolation with constant freezing (PCF) was introduced, where edges open at constant rate 1 and clusters freeze at rate α independently of their size.
Abstract: We introduce and study a model of percolation with constant freezing (PCF) where edges open at constant rate 1, and clusters freeze at rate \alpha independently of their size. Our main result is that the infinite volume process can be constructed on any amenable vertex transitive graph. This is in sharp contrast to models of percolation with freezing previously introduced, where the limit is known not to exist. Our interest is in the study of the percolative properties of the final configuration as a function of \alpha. We also obtain more precise results in the case of trees. Surprisingly the algebraic exponent for the cluster size depends on the degree, suggesting that there is no lower critical dimension for the model. Moreover, even for \alpha<\alpha_c, it is shown that finite clusters have algebraic tail decay, which is a signature of self organised criticality. Partial results are obtained on Z^d, and many open questions are discussed.
TL;DR: In this paper, the density of states and optical conductivity of the classical double exchange model on a site percolated cluster were investigated and the authors showed that the model achieves the same optical properties as the double exchange models.
Abstract: We study the density of states and the optical conductivity of the classical double-exchange model on a site percolated cluster.