A fracton is a collective quantized vibration on a substrate with a fractal structure. Fractons are the fractal analog of phonons. Phonons are the result of applying translational symmetry to the potential in a Schrödinger equation. Fractal self-similarity can be thought of as a symmetry somewhat comparable to translational symmetry. Translational symmetry is symmetry under displacement or change of position, and fractal self-similarity is symmetry under change of scale. The quantum mechanical solutions to such a problem in general lead to a continuum of states with different frequencies. In other words, a fracton band is comparable to a phonon band. The vibrational modes are restricted to part of the substrate and are thus not fully delocalized, unlike phonon vibrational modes. Instead, there is a hierarchy of vibrational modes that encompass smaller and smaller parts of the substrate. (Wikipedia).
You’ve heard of fracking, and you’re pretty sure lots of people don’t like it, but do you know how it actually works? Learn more at HowStuffWorks.com: http://science.howstuffworks.com/environmental/energy/hydraulic-fracking.htm Share on Facebook: http://goo.gl/M5kx1i Share on Twitter: ht
From playlist Visually-Striking Episodes From the 2010s
Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/leioslabs
From playlist research
mandelbrot fractal animation 5
another mandelbrot/julia fractal animation/morph.
From playlist Fractal
Dimensions (1 of 3: The Traditional Definition - Directions)
More resources available at www.misterwootube.com
From playlist Exploring Mathematics: Fractals
A TQFT Perspective on Fracton Order
IAS High Energy Theory Seminar Topic: A TQFT Perspective on Fracton Order Speaker: Abhinav Prem Affiliation: Institute for Advanced Study Date: September 23, 2022 Fracton phases of matter exhibit striking behaviour which seemingly renders them beyond the standard topological quantum fiel
From playlist IAS High Energy Theory Seminar
Quantum Effects on Unconventional Pinch Point Features by Nils Frederic Niggemann
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
Summer of math exposition submission- fractal calculus
Fractal Calculus
From playlist Summer of Math Exposition Youtube Videos
Emergent Electromagnetism in Granular Solids by Subhro Bhattacharjee
DISCUSSION MEETING 8TH INDIAN STATISTICAL PHYSICS COMMUNITY MEETING ORGANIZERS: Ranjini Bandyopadhyay (RRI, India), Abhishek Dhar (ICTS-TIFR, India), Kavita Jain (JNCASR, India), Rahul Pandit (IISc, India), Samriddhi Sankar Ray (ICTS-TIFR, India), Sanjib Sabhapandit (RRI, India) and Prer
From playlist 8th Indian Statistical Physics Community Meeting-ispcm 2023
In this video, I define a neat concept called the fractal derivative (which shouldn't be confused with fractional derivatives). Then I provide a couple of examples, and finally I present an application of this concept to the study of anomalous diffusion in physics. Enjoy!
From playlist Calculus
Xie Chen - Foliated Fracton and Beyond - IPAM at UCLA
Recorded 30 August 2021. Xie Chen of the California Institute of Technology presents "Foliated Fracton and Beyond" at IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. Abstract: This talk will introduce the foliation idea to characterize type I fracton models. We
From playlist Graduate Summer School 2021: Mathematics of Topological Phases of Matter
Fractonic Gauge Theories by Vijay B Shenoy
DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental
From playlist Novel Phases of Quantum Matter 2019
Fractonic Phases in Frustrated Magnets by Yong Baek Kum
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
Spin-Liquids in Controllable Quantum Matter and non-Abelian Topological Orders from Measurement
IAS High Energy Theory Seminar Topic: Spin-Liquids in Controllable Quantum Matter and non-Abelian Topological Orders from Measurement Speaker: Ashvin Vishwanath Affiliation: Harvard University Date: October 17, 2022 In contrast to symmetry breaking phases of matter, unconventional phase
From playlist Natural Sciences
This is a short video tutorial on two methods for reducing fractions. For interactive applets, worksheets, and more videos go to http://www.mathvillage.info
From playlist Fraction Concepts
Emergent Gauge Fields and Quantum Matter by G Baskaran
DISCUSSION MEETING : GEOMETRIC PHASES IN OPTICS AND TOPOLOGICAL MATTER ORGANIZERS : Subhro Bhattacharjee, Joseph Samuel and Supurna Sinha DATE : 21 January 2020 to 24 January 2020 VENUE : Madhava Lecture Hall, ICTS, Bangalore This is a joint ICTS-RRI Discussion Meeting on the geometric
From playlist Geometric Phases in Optics and Topological Matter 2020
Quantum Sandpile (?): Tilted Fermi-Hubbard Model by David Huse
DISCUSSION MEETING : STATISTICAL PHYSICS OF COMPLEX SYSTEMS ORGANIZERS : Sumedha (NISER, India), Abhishek Dhar (ICTS-TIFR, India), Satya Majumdar (University of Paris-Saclay, France), R Rajesh (IMSc, India), Sanjib Sabhapandit (RRI, India) and Tridib Sadhu (TIFR, India) DATE : 19 December
From playlist Statistical Physics of Complex Systems - 2022
This is too much fun to play with. Need to stop myself sometimes, so I can get some actual progress on the code. Support Coding Math: http://patreon.com/codingmath
From playlist Fractals