Critical phenomena | Percolation theory
In statistical physics, directed percolation (DP) refers to a class of models that mimic filtering of fluids through porous materials along a given direction, due to the effect of gravity. Varying the microscopic connectivity of the pores, these models display a phase transition from a macroscopically permeable (percolating) to an impermeable (non-percolating) state. Directed percolation is also used as a simple model for epidemic spreading with a transition between survival and extinction of the disease depending on the infection rate. More generally, the term directed percolation stands for a universality class of continuous phase transitions which are characterized by the same type of collective behavior on large scales. Directed percolation is probably the simplest universality class of transitions out of thermal equilibrium. (Wikipedia).
Bernoulli site percolation on a Poisson disc process
Several recent videos on this channel have shown percolation on regular lattices. This simulation shows for a change percolation on a random lattice. The vertices of the lattice form a Poisson disc process, which is similar to a Poisson point process (points thrown independently and unifor
From playlist Percolation
Cluster size distribution for Bernoulli site percolation on a Poisson disc process
Like the recent video https://youtu.be/zvKh0rxQgAs , this simulation shows percolation on a Poisson disc process, but this time all clusters are shown in colors depending on their size. The Poisson disc process is similar to a Poisson point process (points thrown independently and uniforml
From playlist Percolation
Bond percolation on a square lattice. Each edge of the lattice is open with probability p, independently of all others. p is varied from 0 to 1. For more details on the simulations, see http://www.univ-orleans.fr/mapmo/membres/berglund/ressim.html
From playlist Percolation
Bond percolation on a square lattice. Each edge of the lattice is open with probability p, independently of all others. p is varied from 0 to 1. The connected component of the left-hand boundary is highlighted. It touches the right-hand boundary for p close to 0.5. For more information,
From playlist Percolation
Bernoulli site percolation on a honeycomb lattice
This new variant of percolation simulation features a hexagonal, or honeycomb lattice. Note that when joining the centers of the hexagons, one obtains a triangular lattice, which is sometimes used to describe this type of configuration. The graph shows the proportion of flooded hexagons (t
From playlist Percolation
Variational formulas for directed polymer and percolation models on the plane - Timo Seppalainen
Timo Seppalainen Univ Wisconsin April 2, 2014 For more videos, visit http://video.ias.edu
From playlist Mathematics
Number of clusters for Bernoulli site percolation on a honeycomb lattice
This simulation shows percolation on a hexagonal, or honeycomb lattice, like the video https://youtu.be/z1-ru_OrPqc . The difference is that here, instead of showing only one percolation cluster, originating from the left side of the lattice, all clusters are shown in different colors. The
From playlist Percolation
Bigeodesics in fist and last passage percolation by Christopher Hoffman
PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the
From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019
Geodesics in First-Passage Percolation by Christopher Hoffman
PROGRAM FIRST-PASSAGE PERCOLATION AND RELATED MODELS (HYBRID) ORGANIZERS: Riddhipratim Basu (ICTS-TIFR, India), Jack Hanson (City University of New York, US) and Arjun Krishnan (University of Rochester, US) DATE: 11 July 2022 to 29 July 2022 VENUE: Ramanujan Lecture Hall and online This
From playlist First-Passage Percolation and Related Models 2022 Edited
Universality Classes of avalanches in sandpiles and growing interfaces by Deepak Dhar
PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the
From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019
Introduction to this lecture series on perioperative management.
From playlist Perioperative Patient Care _ Demo
Directed percolation and the route to turbulence by Dwight Barkley
DISCUSSION MEETING: 7TH INDIAN STATISTICAL PHYSICS COMMUNITY MEETING ORGANIZERS : Ranjini Bandyopadhyay, Abhishek Dhar, Kavita Jain, Rahul Pandit, Sanjib Sabhapandit, Samriddhi Sankar Ray and Prerna Sharma DATE: 19 February 2020 to 21 February 2020 VENUE: Ramanujan Lecture Hall, ICTS Ba
From playlist 7th Indian Statistical Physics Community Meeting 2020
Introduction to FPP (Lecture 2) by Jack Thomas Hanson,
PROGRAM : FIRST-PASSAGE PERCOLATION AND RELATED MODELS (HYBRID) ORGANIZERS : Riddhipratim Basu (ICTS-TIFR, India), Jack Hanson (City University of New York, US) and Arjun Krishnan (University of Rochester, US) DATE : 11 July 2022 to 29 July 2022 VENUE : Ramanujan Lecture Hall and online T
From playlist First-Passage Percolation and Related Models 2022 Edited
Evan Sorensen (UWM) -- Busemann functions and semi-infinite geodesics in a semi-discrete space
In the last 10-15 years, Busemann functions have been a key tool for studying semi-infinite geodesics in planar first and last-passage percolation. We study Busemann functions in the semi-discrete Brownian last-passage percolation (BLPP) model and use these to derive geometric properties o
From playlist Northeastern Probability Seminar 2021
CIRCULAR PERMUTATION | PERMUTATION SERIES | CREATA CLASSES
This is the 6th video under the PERMUTATION series. This video covers the concept of Circular Permutation in full detail using Animation & Visual Tools. Visit our website: https://creataclasses.com/ For a full-length course on PERMUTATION & COMBINATION: https://creataclasses.com/courses
From playlist PERMUTATION
Multiple giant clusters and spongy phases in generalized percolation, and... by Peter Grassberger
DISCUSSION MEETING STATISTICAL PHYSICS: RECENT ADVANCES AND FUTURE DIRECTIONS (ONLINE) ORGANIZERS: Sakuntala Chatterjee (SNBNCBS, Kolkata), Kavita Jain (JNCASR, Bangalore) and Tridib Sadhu (TIFR, Mumbai) DATE: 14 February 2022 to 15 February 2022 VENUE: Online In the past few decades,
From playlist Statistical Physics: Recent advances and Future directions (ONLINE) 2022
Dulmage-Mendelsohn percolation by Kedar Damle
DISCUSSION MEETING STATISTICAL PHYSICS: RECENT ADVANCES AND FUTURE DIRECTIONS (ONLINE) ORGANIZERS: Sakuntala Chatterjee (SNBNCBS, Kolkata), Kavita Jain (JNCASR, Bangalore) and Tridib Sadhu (TIFR, Mumbai) DATE: 14 February 2022 to 15 February 2022 VENUE: Online In the past few decades,
From playlist Statistical Physics: Recent advances and Future directions (ONLINE) 2022
Vadim Gorin: "Shift invariance for the six-vertex model and directed polymers"
Asymptotic Algebraic Combinatorics 2020 "Shift invariance for the six-vertex model and directed polymers" Vadim Gorin - Massachusetts Institute of Technology Abstract: I will explain a recently discovered mysterious property in a variety of stochastic systems ranging from the six-vertex
From playlist Asymptotic Algebraic Combinatorics 2020
Introduction to Irrigation Water Management
From playlist TEMP 1