Percolation Definition and 13 Threads

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...

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...

Hello! Could you give me an example of visualization package or smth like that where i can get this kind of figure percolation paths ? Thanks!

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...

Do you know any tutorials for percolation simulations? Thanks a ton! Carter Note: sorry, just don't know the correct place to post in.