What is Percolation: Definition and 14 Discussions
In physics, chemistry and materials science, percolation (from Latin percolare, "to filter" or "trickle through") refers to the movement and filtering of fluids through porous materials.
It is described by Darcy's law.
Broader applications have since been developed that cover connectivity of many systems modeled as lattices or graphs, analogous to connectivity of lattice components in the filtration problem that modulates capacity for percolation.
Hello
I am struggeling with a problem, or perhaps more with understanding the problem.
I have to simulate a one dimensional percolation in Python and that part I can do. The issue is understanding the next line of the problem, which I will post here:
"For the largest cluster size S, use finite...
Regge-theory succesfully explains the latest LHC ##pp## elastic scattering experimental results and total cross-sections:
https://arxiv.org/pdf/1711.03288
https://arxiv.org/abs/1808.08580
Three different Regge-trajectories are needed: one Reggeon, one (soft) Pomeron and one Odderon. The...
I read about bootstrap percolation and I would like to find links and similarities between bootstrap percolation and percolation (the initial model).
I wonder if there is any result in percolation that is still valid in the bootstrap model.
Homework Statement
We have a 1-D lattice [a line] of ##L## sites. Sites are occupied with probability ##p##. Find the probability that a given site is a member of a cluster of size ##s##. (A cluster is a set of adjacent occupied sites. The cluster size is the number of occupied sites in the...
Hello,
For the past 2 days I've been looking for a resource discussing the metal insulator transition using percolation theory. (The next part treats the Anderson and Mott models)
I'm studying for a course of solid state physics where this is mentioned/summarized.
The problem is that the...
I'm a first year physics student, and one of my assignment for my programming class is about percolation. I need to create some disks randomly distributed in an area (this is a 2-D), and then by varying the density of the disk, I need to figure out the percolation threshold such that the two...
In $\Omega = \{0,1\}^{\mathbb{Z}^{2}}$, consider the class $C$ of cylinders. Show that $C$ is algebra. At $w\in \Omega$, we call cluster point $x$ all points $z\in \mathbb{Z}^{2}$ that can be attained from $x$ by a path that only passes by open dots. In the $\sigma$-algebra generated by $C...
Hi,
I am trying to learn some stuff about percolation, specifically what Menshikov's theorem is about. On wiki http://en.wikipedia.org/wiki/Percolation_theory it says:
"when p<pc, the probability that a specific point (for example, the origin) is contained in an open cluster of size r...
I am currently working in using the Ising model to study magnetization, and almost wrapping it up. The professor I am working with said I should get into percolation theory, so, my questions are:
Has anyone worked with this, in what perspective?
Currently i am an undergrad,I am planning to...
i am having some trouble understanding the meaning of what a percolation threshold is p_{c}.
apparently on triangular lattices a threshold of 0.5 is the result on any sized lattice.
however i can definitely think of a way to fill in half the points on a triangle lattice and not have it span...
I have two questions related to statistical physics or particle physics, could somebody help ?If this is not the right place for these questions, please advise.
1 What does 'percolation threshold' means for a system of particles?
2 What is "periodic boundary" in a particulate system? Is it...
Can anyone help me find information on the percolation threshold, i.e for when particle concentration is increased to a point when electrical pathways are created and resistance decreases by many orders, for metals loaded polymers.
Cheers
:smile: :-p :approve: :zzz: :blushing...