Critical phenomena | Renormalization group

Multicritical point

Multicritical points are special points in the parameter space of thermodynamic or other systems with a continuous phase transition. At least two thermodynamic or other parameters must be adjusted to reach a multicritical point. At a multicritical point the system belongs to a universality class different from the "normal" universality class. A more detailed definition requires concepts from the theory of critical phenomena, a branch of physics that reached a very satisfying state in the 1970s. (Wikipedia).

Multicritical point
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Saddle points

Just because the tangent plane to a multivariable function is flat, it doesn't mean that point is a local minimum or a local maximum. There is a third possibility, new to multivariable calculus, called a "saddle point".

From playlist Multivariable calculus

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Multivariable Maximum and Minimum Problems

In this video, we will work through several examples of problems where we find critical points of multivariable functions and test them to find local maximum and local minimum points.

From playlist Multivariable Calculus

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Angle of Intersection Between Two Curves

Multivariable Calculus: Find the angle of intersection between the curves r1(t) = (1+t, t, t^3) and r2(t) = (cos(t), sin(t), t^2) at the point (1, 0, 0). For more videos like this one, please visit the Multivariable Calculus playlist at my channel.

From playlist Calculus Pt 7: Multivariable Calculus

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Multicritical melting of three-sublattice order in frustrated easy-axis ...... by Kedar Damle

Indian Statistical Physics Community Meeting 2016 URL: https://www.icts.res.in/discussion_meeting/details/31/ DATES Friday 12 Feb, 2016 - Sunday 14 Feb, 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore This is an annual discussion meeting of the Indian statistical physics community wh

From playlist Indian Statistical Physics Community Meeting 2016

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Multivariable Calculus | Differentiability

We give the definition of differentiability for a multivariable function and provide a few examples. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/

From playlist Multivariable Calculus

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Jérémie Bouttier: Multicritical Schur measures

HYBRID EVENT Recorded during the meeting "Random Geometry" the January 18, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics

From playlist Probability and Statistics

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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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Curvature function renormalisation and topological phase transitions by Sumathi Rao

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

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Example of Vector Field

Multivariable Calculus: Sketch the vector field F(x, y) = ( y/sqrt(x^2+y^2), -x/sqrt(x^2+y^2) ) at the points (0,1), (4,3), (0,1), and (-3,4). We note some interesting properties of this vector field after switching to polar coordinates. For more videos like this one, please visit

From playlist Calculus Pt 7: Multivariable Calculus

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Multivariable Calculus: Cross Product

In this video we explore how to compute the cross product of two vectors using determinants.

From playlist Multivariable Calculus

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Multivariable Calculus | Finding a limit with polar coordinates.

We use polar coordinates to find the limit of a multivariable function. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Multivariable Calculus

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Equation of a Plane Containing a Point and a Line

Multivariable Calculus: Find the equation of the plane containing the origin and the line r(t) = (2+3t, 4+t, 1+t). The key step involves using the cross product to find a normal vector. For more videos like this one, please visit the Multivariable Calculus playlist at my channel.

From playlist Calculus Pt 7: Multivariable Calculus

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[#SoME1] A simple statement with a remarkable proof ( + Proof of Bolzano-Weierstrass Theorem)

In this video, I present a very important statement that, at first, seems quite obvious, but whose proof requires some neat reasoning. I start off by explaining everything required in order to understand the problem, and then restate it in a more rigorous way. Then, I present two proofs f

From playlist Summer of Math Exposition Youtube Videos

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Prob & Stats - Markov Chains (29 of 38) Absorbing Markov Chain: Stable Distribution Matrix=?

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the stable distribution matrix (4x4) when there is only 1 absorbing state. Next video in the Markov Chains series: http://youtu.be/EAZ4K1Z7qws

From playlist iLecturesOnline: Probability & Stats 3: Markov Chains & Stochastic Processes

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Real Analysis Ep 14: Closed sets

Episode 14 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is about closed sets of real numbers. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker webpage: http://f

From playlist Math 3371 (Real analysis) Fall 2020

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What is a Manifold? Lesson 2: Elementary Definitions

This lesson covers the basic definitions used in topology to describe subsets of topological spaces.

From playlist What is a Manifold?

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FORMAL LINEAR PERSPECTIVE: SECTION FIVE-45 Degree Measuring PT's in 3PT Perspective EX #44

Marc demonstrates creating Three 45 degree MP's (one for each plane, or VP), to create perfect cubes in 3PT perspective. This sets up the ability to create scale AND measuring without much hard work. But you'll need to learn the set up to be able to make it work-hang in there! SUGGESTED FO

From playlist FORMAL LINEAR PERSPECTIVE

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FORMAL LINEAR PERSPECTIVE: SECTION FIVE The Three Point Set Up EX#42

Marc demonstrates the 3-Point Set Up in Bird's Eye View and Worm's Eye View. Commit this to memory. New Terms: VST; VVP SUGGESTED FOLLOW UP EXERCISES: Practice this set up many many times so that you can commit it to memory. The more the better!

From playlist FORMAL LINEAR PERSPECTIVE

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How to Evaluate a Multivariable Function Defined by an Integral

How to Evaluate a Multivariable Function Defined by an Integral If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)

From playlist Calculus 3

Related pages

Critical phenomena | Manifold | Tricritical point | Phase transition | Universality class