In statistical mechanics, the two-dimensional square lattice Ising model is a simple lattice model of interacting magnetic spins. The model is notable for having nontrivial interactions, yet having an analytical solution. The model was solved by Lars Onsager for the special case that the external magnetic field H = 0. An analytical solution for the general case for has yet to be found. (Wikipedia).
Lattice relations + Hermite normal form|Abstract Algebra Math Foundations 224 | NJ Wildberger
We introduce lattices and integral linear spans of vexels. These are remarkably flexible, common and useful algebraic objects, and they are the direct integral analogs of vector spaces. To understand the structure of a given lattice, the algorithm to compute a Hermite normal form basis is
From playlist Math Foundations
Lattice Structures in Ionic Solids
We've learned a lot about covalent compounds, but we haven't talked quite as much about ionic compounds in their solid state. These will adopt a highly ordered and repeating lattice structure, but the geometry of the lattice depends entirely on the types of ions and their ratio in the chem
From playlist General Chemistry
Recent Results on Finite Group Lattice Gauge Theories - Sky Yang Cao
Members' Colloquium Topic: Recent Results on Finite Group Lattice Gauge Theories Speaker: Sky Yang Cao Affiliation: Member, School of Mathematics Date: March 20, 2023 The rigorous study of spin systems such as the Ising model is currently one of the most active research areas in probabil
From playlist Mathematics
Model Theory - part 04 - Posets, Lattices, Heyting Algebras, Booleans Algebras
This is a short video for people who haven't seen a Heyting algebras before. There is really nothing special in it that doesn't show up in wikipedia or ncatlab. I just wanted to review it before we use them. Errata: *at 3:35: there the law should read (a and (a or b) ), not (a and (a and
From playlist Model Theory
Christian Sattler: Do cubical models of type theory also model homotopy types
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: I will give an alternative exposition of Kapulkin and Voevodsky's result about simplicial sets forming a subtopos of certain cubical sets: https://arxiv.org/abs/1805.0412
From playlist Workshop: "Types, Homotopy, Type theory, and Verification"
Lattices, Hecke Operators, and the Well-Rounded Retract - Mark McConnell
Mark McConnell Center for Communications Research, Princeton University March 7, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Now that we know what a quotient group is, let's take a look at an example to cement our understanding of the concepts involved.
From playlist Abstract algebra
Orbit of a set in abstract algebra
In this video we start to take a look at the orbit-stabilizer theorem. Our first stop is the orbit of a set. The orbit is created by taking an arbitrary element of a set and acting on that element by all the elements in the set of an an arbitrary group. In this video, we look at a few p
From playlist Abstract algebra
Solid State Physics in a Nutshell: Topic 3-5: Centered Lattices
We briefly discuss centered lattices and the information they can give us.
From playlist CSM: Solid State Physics in a Nutshell | CosmoLearning.org Physics
MIT 8.334 Statistical Mechanics II: Statistical Physics of Fields, Spring 2014 View the complete course: http://ocw.mit.edu/8-334S14 Instructor: Mehran Kardar In this lecture, Prof. Kardar continues his discussion on Series Expansions, including Self-duality in the Two Dimensional Ising M
From playlist MIT 8.334 Statistical Mechanics II, Spring 2014
Baryons, Determinants and Integrability at Large N (Lecture - 02) by Shota Komatsu
INFOSYS-ICTS STRING THEORY LECTURES BARYONS, DETERMINANTS AND INTEGRABILITY AT LARGE N SPEAKER: Shota Komatsu (Institute for Advanced Study, Princeton) DATE: 14 October 2019 to 16 October 2019 VENUE: Emmy Noether Seminar Hall, ICTS Bengaluru Lecture 1: Monday, 14 October 2019 at 11:30
From playlist Infosys-ICTS String Theory Lectures
Exactly solved models by R. Rajesh
DATES Friday 01 Jul, 2016 - Friday 15 Jul, 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the seventh in the series. The school is being jointly organised by the International Centre for Theoretical Sciences (ICTS) and the Raman Research Institute (RRI). T
From playlist Bangalore School On Statistical Physics - VII
Exactly solved models by R. Rajesh
DATES Friday 01 Jul, 2016 - Friday 15 Jul, 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the seventh in the series. The school is being jointly organised by the International Centre for Theoretical Sciences (ICTS) and the Raman Research Institute (RRI). T
From playlist Bangalore School On Statistical Physics - VII
The Role of Symmetry in Phase Transitions - Tom Spencer
Tom Spencer Professor, School of Mathematics, Institute for Advanced Study January 23, 2012 This talk will review some theorems and conjectures about phase transitions of interacting spin systems in statistical mechanics. A phase transition may be thought of as a change in a typical spin c
From playlist Mathematics
Local entanglement and confinement transitions in random quantum spin-ice models by Rajiv Singh
PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do is
From playlist Thermalization, Many Body Localization And Hydrodynamics 2019
Exactly solved models by R. Rajesh
DATES Friday 01 Jul, 2016 - Friday 15 Jul, 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the seventh in the series. The school is being jointly organised by the International Centre for Theoretical Sciences (ICTS) and the Raman Research Institute (RRI). T
From playlist Bangalore School On Statistical Physics - VII
Conformal field theory and statistical mechanics (Lecture - 01)by John Cardy
Bangalore School on Statistical Physics - VIII DATE: 28 June 2017 to 14 July 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru This advanced level school is the eighth in the series. This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in s
From playlist Bangalore School on Statistical Physics - VIII
Baryons, Determinants and Integrability at Large N (Lecture - 01) by Shota Komatsu
INFOSYS-ICTS STRING THEORY LECTURES BARYONS, DETERMINANTS AND INTEGRABILITY AT LARGE N SPEAKER: Shota Komatsu (Institute for Advanced Study, Princeton) DATE: 14 October 2019 to 16 October 2019 VENUE: Emmy Noether Seminar Hall, ICTS Bengaluru Lecture 1: Monday, 14 October 2019 at 11:30
From playlist Infosys-ICTS String Theory Lectures
Stabilizer in abstract algebra
In the previous video we looked at the orbit of a set. To work towards the orbit stabilizer theorem, we take a look at what a stabilizer is in this video.
From playlist Abstract algebra
MIT 8.334 Statistical Mechanics II: Statistical Physics of Fields, Spring 2014 View the complete course: http://ocw.mit.edu/8-334S14 Instructor: Mehran Kardar In this lecture, Prof. Kardar introduces Series Expansions, including Low-temperature Expansions, High-temperature Expansions, and
From playlist MIT 8.334 Statistical Mechanics II, Spring 2014