Critical phenomena

Tricritical point

In condensed matter physics, dealing with the macroscopic physical properties of matter, a tricritical point is a point in the phase diagram of a system at which three-phase coexistence terminates. This definition is clearly parallel to the definition of an ordinary critical point as the point at which two-phase coexistence terminates. A point of three-phase coexistence is termed a triple point for a one-component system, since, from Gibbs' phase rule, this condition is only achieved for a single point in the phase diagram (F = 2-3+1 =0). For tricritical points to be observed, one needs a mixture with more components. It can be shown that three is the minimum number of components for which these points can appear. In this case, one may have a two-dimensional region of three-phase coexistence (F = 2-3+3 =2) (thus, each point in this region corresponds to a triple point). This region will terminate in two critical lines of two-phase coexistence; these two critical lines may then terminate at a single tricritical point. This point is therefore "twice critical", since it belongs to two critical branches.Indeed, its critical behavior is different from that of a conventional critical point: the upper critical dimension is lowered from d=4 to d=3 so the classical exponents turn out to apply for real systems in three dimensions (but not for systems whose spatial dimension is 2 or lower). (Wikipedia).

Video thumbnail

Definition of Trigonometric Functions

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of Trigonometric Functions

From playlist Trigonometry

Video thumbnail

Blume-Capel and the Tricritical Point - Trishen Gunaratnam

Analysis and Mathematical Physics Topic: Blume-Capel and the Tricritical Point Speaker: Trishen Gunaratnam Affiliation: University of Geneva Date: February 22, 2023 This talk will be about a ferromagnetic spin system called the Blume-Capel model. It was introduced in the '60s to model a

From playlist Mathematics

Video thumbnail

Giuseppe Mussardo - 2D Ising Model and its tricritical version, when theory meets experiments

The magnetic deformation of the 2D Ising Model and the thermal deformation of the Tricritical Ising Model are related to the exceptional E_8 and E_7 Lie algebras. The corresponding exact S-matrix theories and the related dynamical structure factors of both models have a rich spectroscopy

From playlist 100…(102!) Years of the Ising Model

Video thumbnail

Statistical Physics of Long-range Systems(Lecture 2) by Stefano Ruffo

PROGRAM: BANGALORE SCHOOL ON STATISTICAL PHYSICS - XIII (HYBRID) ORGANIZERS: Abhishek Dhar (ICTS-TIFR, India) and Sanjib Sabhapandit (RRI, India) DATE & TIME: 11 July 2022 to 22 July 2022 VENUE: Madhava Lecture Hall and Online This school is the thirteenth in the series. The schoo

From playlist Bangalore School on Statistical Physics - XIII - 2022 (Live Streamed)

Video thumbnail

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

Video thumbnail

Clément Hongler - Ising model, (para)fermions, and field theory

In the last 20 years, parafermionic observables have allowed one to rigorously connect lattice models and conformal field theories. I'll present old and recent results and discuss new perspectives (there will new pictures!). Clément Hongler (EPFL)

From playlist 100…(102!) Years of the Ising Model

Video thumbnail

How to express the polar point multiple ways

► My Trigonometry course: https://www.kristakingmath.com/trigonometry-course A single coordinate point in polar space can be expressed in an infinite number of ways. That's because part of the polar coordinate point is the angle theta. Since theta represents the angle between the positiv

From playlist Trigonometry

Video thumbnail

Introduction to Angles and Their Measures

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Introduction to Angles and Their Measures - Definition of an Angle, both positive and negative. - Types of Angles: right, straight, acute, obtuse, complementary, supplementary

From playlist Trigonometry

Video thumbnail

CCSS What is the definition of a Midpoint

👉 Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the two given points and divide the result by 2. This giv

From playlist Points Lines and Planes

Video thumbnail

Trigonometry - Vocabulary of trigonometric functions

In this video will cover some of the basic vocabulary that you'll hear when working with trigonometric functions. Specifically we'll cover what is trigonometry, angles, and defining the trigonometric functions as ratios of sides. You'll hear these terms again as we dig deeper into the st

From playlist Trigonometry

Video thumbnail

Trigonometry - Find the value of trig functions using a point

If given just a point, we can define an angle that goes directly through the point. With this out of the way, we can then form a right triangle and find the value of all our trigonometric functions. Check out this video for some examples. For more videos please visit http://www.mysecre

From playlist Trigonometry

Video thumbnail

Central Angle Theorem

blackpenredpen, math for fun, https://blackpenredpen.com/bprplive, https://twitter.com/blackpenredpen, blackpenredpen@gmail.com

From playlist Trigonometry, but for fun!

Video thumbnail

Find the reference angle of a angle larger than 2pi

👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant

From playlist Find the Reference Angle

Video thumbnail

Find the reference angle of a negative angle

👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant

From playlist Find the Reference Angle

Video thumbnail

[#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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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?

Video thumbnail

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

Video thumbnail

Find the midpoint between two points w(–12,–7), T(–8,–4)

👉 Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the two given points and divide the result by 2. This giv

From playlist Points Lines and Planes

Related pages

Monte Carlo method | Critical point (thermodynamics) | Critical dimension