Exactly solvable models

Two-dimensional critical Ising model

The two-dimensional critical Ising model is the critical limit of the Ising model in two dimensions. It is a two-dimensional conformal field theory whose symmetry algebra is the Virasoro algebra with the central charge . Correlation functions of the spin and energy operators are described by the minimal model. While the minimal model has been exactly solved, see also, e.g., the article on Ising critical exponents, the solution does not cover other observables such as connectivities of clusters. (Wikipedia).

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Finding critical points of functions

Download the free PDF http://tinyurl.com/EngMathYT This is an example illustrating how to find and classify the critical points of functions of two variables. Such ideas rely on the second derivative test and are seen in university mathematics.

From playlist Several Variable Calculus / Vector Calculus

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How to find and classify critical points of functions

Download the free PDF from http://tinyurl.com/EngMathYT This video shows how to calculate and classify the critical points of functions of two variables. The ideas involve first and second order derivatives and are seen in university mathematics.

From playlist Mathematics for Finance & Actuarial Studies 2

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How to find + classify critical points of functions

Download the free PDF http://tinyurl.com/EngMathYT This video shows how to calculate and classify the critical points of functions of two variables. The ideas involve first and second order derivatives and are seen in university mathematics.

From playlist Several Variable Calculus / Vector Calculus

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How to find critical points of functions

Download the free PDF from http://tinyurl.com/EngMathYT This is an example illustrating how to find and classify the critical points of functions of two variables. Such ideas rely on the second derivative test and are seen in university mathematics.

From playlist Mathematics for Finance & Actuarial Studies 2

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Critical points + 2nd derivative test: Multivariable calculus

Free ebook http://tinyurl.com/EngMathYT I discuss and solve an example where the location and nature of critical points of a function of two variables is sought. The method is to calculate the partial derivatives, set them to zero and then solve to find the critical points. The critical

From playlist Mathematics for Finance & Actuarial Studies 2

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Limit of f(x,y)

Limit of functions of two variables. We show how to prove a limit does not exist. Free ebook http://tinyurl.com/EngMathYT

From playlist Several Variable Calculus / Vector Calculus

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Second derivative test: two variables

Free ebook http://tinyurl.com/EngMathYT A lecture on the 2nd derivative test for multivariable calculus. The ideas are illustrated through examples. I also provide a proof of the 2nd derivative test.

From playlist Mathematics for Finance & Actuarial Studies 2

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Non-equilibrium statistical physics: Introductory examples (Lecture - 03) by Sidney Redner

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

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16. Series Expansions Part 2

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

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Percolation: a Mathematical Phase Transition

—————SOURCES———————————————————————— Percolation – Béla Bollobás and Oliver Riordan Cambridge University Press, New York, 2006. Sixty Years of Percolation – Hugo Duminil-Copin https://www.ihes.fr/~duminil/publi/2018ICM.pdf Percolation – Geoffrey Grimmett volume 321 of Grundlehren der Ma

From playlist Prob and Stats

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Supersymmetry, Dimensional Reduction and Avalanches in Random-field Models by Gilles Tarjus

DISCUSSION MEETING : CELEBRATING THE SCIENCE OF GIORGIO PARISI (ONLINE) ORGANIZERS : Chandan Dasgupta (ICTS-TIFR, India), Abhishek Dhar (ICTS-TIFR, India), Smarajit Karmakar (TIFR-Hyderabad, India) and Samriddhi Sankar Ray (ICTS-TIFR, India) DATE : 15 December 2021 to 17 December 2021 VE

From playlist Celebrating the Science of Giorgio Parisi (ONLINE)

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Melting of three-sublattice and easy-axis antiferromagnets on triangular and kagome lattices

New questions in quantum field theory from condensed matter theory Talk Title : Melting of three­sublattice order in easy­axis antiferromagnets on triangular and kagome lattices by Kedar Damle URL: http://www.icts.res.in/discussion_meeting/qft2015/ Description:- The last couple of decade

From playlist New questions in quantum field theory from condensed matter theory

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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

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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

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Duality and domain wall dynamics in CoNb2O6 by Ribhu Kaul

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)

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Dimensions (2 of 3: A More Flexible Definition - Scale Factor)

More resources available at www.misterwootube.com

From playlist Exploring Mathematics: Fractals

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Critical Phenomena Through the Lens of the Ising Model (Lecture 1) by Hugo Duminil-Copin

INFOSYS-ICTS RAMANUJAN LECTURES CRITICAL PHENOMENA THROUGH THE LENS OF THE ISING MODEL SPEAKER: Hugo Duminil-Copin (Institut des Hautes Études Scientifiques, France & University of Geneva, Switzerland) DATE: 09 January 2023 to 13 January 2023 VENUE: Ramanujan Lecture Hall Lecture 1 D

From playlist Infosys-ICTS Ramanujan Lectures

Related pages

Virasoro algebra | Operator product expansion | Random cluster model | Ising model | Potts model | Dirac fermion | Critical point (thermodynamics) | Minimal model (physics) | Correlation function | Irreducible representation | Ising critical exponents | Dedekind eta function