YoVDO

Universal Microscopic Mechanism of Hybrid Percolation Transitions

Offered By: PCS Institute for Basic Science via YouTube

Tags

Percolation Theory Courses Complex Systems Courses Phase Transitions Courses Statistical Physics Courses Critical Phenomena Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the universal microscopic mechanism of hybrid percolation transitions (HPTs) in this comprehensive lecture. Delve into the two ways dynamic transitions can occur: cluster pruning with suppression of loop formation of cut links and cluster merging with suppression of large cluster creation. Uncover the detailed microscopic framework for cluster merging models, revealing the three-step process behind HPT features. Learn about the accumulation of medium-sized clusters, rapid growth of giant clusters through merging, and the transition to Erdős-Rényi type dynamics. Examine the critical behavior characterized by two sets of exponents related to order parameter and cluster size distribution, connected through a scaling relation. Gain insights into extensive numerical simulations and specific finite-size scaling analysis methods used to handle large fluctuations at the transition point. Discover a unified theoretical framework for understanding hybrid percolation transitions across different models.

Syllabus

Byungnam Kahng: Universal Microscopic Mechanism of Hybrid Percolation Transitions


Taught by

PCS Institute for Basic Science

Related Courses

Erik Broman- Higher Dimensional Stick Percolation
Hausdorff Center for Mathematics via YouTube
Percolation on Hyperbolic Poisson-Voronoi Tessellations
Hausdorff Center for Mathematics via YouTube
The Science of Cities: Defining Size, Shape, Scale and Performance Using Percolation Theory
University of Melbourne via YouTube
Noise is the New Signal: Moving Beyond Zeroth-Order Geomorphology - 2010 Sharp Lecture
AGU via YouTube
Loss of Self-Organization in Earth's Climate
Santa Fe Institute via YouTube