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# Collection 100 (102!) Years of the Ising Model

Organizer(s) Hugo Duminil-Copin, Slava Rychkov, Béatrice de Tilière
Date(s) 5/30/22 - 6/3/22
00:00:00 / 00:00:00
2 22

## Non-self-averaging in the critical point of the 2D random Ising model

In this talk I present a brief review of the recent results on sample-to-sample fluctuations in a critical two-dimensional Ising model with quenched random ferromagnetic couplings. Using replica calculations in the renormalization group framework I derive explicit expressions for the probability distribution function (PDF) for the critical internal energy and for as well as for the specific heat fluctuations. For the singular part of the internal energy it is shown that in the critical point both its average value and the typical value of its sample-to-sample fluctuations scale with the system size $L$ like $\sim L \ln\ln(L)$ which implies that the internal energy of disordered 2D ferromagnetic Ising model is non-selfaveraging in the critical point. In contrast to that, the specific heat is shown to be self-averaging with a distribution function that tends to a $\delta$-peak in the thermodynamic limit $L \to \infty$.

• Date of recording 5/30/22
• Date of publication 6/1/22
• Institution IHES
• Language English
• Audience Researchers
• Format MP4

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• 01:06:55
published on June 1, 2022

## The SLE/CLE continuum perspective on the two-dimensional critical Ising model

By Wendelin Werner

58:52
published on June 1, 2022

## Non-self-averaging in the critical point of the 2D random Ising model

By Victor Dotsenko

33:14
published on June 1, 2022

## The scaling limit of non-solvable 2D Ising models via fermionic RG - 1

By Alessandro Giuliani

32:07
published on June 1, 2022

## The scaling limit of non-solvable 2D Ising models via fermionic RG - 2

By Rafael Greenblatt

01:02:19
published on June 1, 2022

## On crossing probabilities in critical random-cluster models

By Eveliina Peltola

01:08:09
published on June 1, 2022

## Random quantum Ising spin chains

By Daniel Fisher

55:36
published on June 1, 2022

## Perspectives on the renormalisation group approach

By Roland Bauerschmidt

01:03:13
published on June 1, 2022

## 2D Ising Model and its tricritical version, when theory meets experiments

By Giuseppe Mussardo

51:03
published on June 1, 2022

## Gibbs states for (long-range) Ising models

By Loren Coquille

01:08:13
published on June 2, 2022

## Ising model, (para)fermions, and field theory

By Clément Hongler

01:05:14
published on June 2, 2022

## Ising model, Glauber dynamics and random tilings

By Fabio Toninelli

59:31
published on June 2, 2022

## Entropic repulsion in 3D Ising

By Eyal Lubetzky

01:07:42
published on June 2, 2022

## Nonperturbative analysis of noncritical Ising models: some applications of the Ornstein–Zernike theory

By Yvan Velenik

01:03:06
published on June 3, 2022

## Using the Ising model to explore the confining regime of Lattice Gauge Theories

By Michele Caselle

01:05:52
published on June 3, 2022

## Three dimensional Ising model as a non-critical string theory

By Ara Sedrakyan

01:09:19
published on June 3, 2022

## Metric graph extensions of lattice models with applications in stat mech and quantum systems

By Michael Aizenman

01:02:34
published on June 3, 2022

## How the lizard got its colors

By Stanislav Smirnov

01:02:11
published on June 3, 2022

## Ruminations on the Ising Model: Past, Present, Future

By Jürg Fröhlich , Tom Spencer , Arthur Jaffe , Geoffrey Grimmett , Joel Lebowitz

01:05:11
published on June 4, 2022

## The Ising model, the saga of the critical exponents

By Jean Zinn-Justin

01:05:30
published on June 4, 2022

## Emergent planarity in two-dimensional Ising models with finite-range Interactions

By Vincent Tassion

01:08:14
published on June 4, 2022

## Anatomy of the Ising model from Conformal Bootstrap

By Alessandro Vichi

01:05:23
published on June 4, 2022

## The multinomial Ising model

By Rick Kenyon

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