Title :

Renormalization group and generalized Central Limit Theorems: The critical probability distributions of the order parameter of the Ising model

Author(s) :

Balog, I. [Auteur]
Rançon, A. [Auteur]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]
Delamotte, B. [Auteur]
Laboratoire de Physique Théorique de la Matière Condensée [LPTMC]

Journal title :

Physical Review Letters

Pages :

210602

Publisher :

American Physical Society

Publication date :

2022

ISSN :

0031-9007

HAL domain(s) :

Physique [physics]/Matière Condensée [cond-mat]
Physique [physics]/Physique des Hautes Energies - Théorie [hep-th]

English abstract : [en]

We show that the functional renormalization group (FRG) allows for the generalization of the central limit theorem to strongly correlated random variables. On the example of the three-dimensional Ising model at criticality ...
Show more >We show that the functional renormalization group (FRG) allows for the generalization of the central limit theorem to strongly correlated random variables. On the example of the three-dimensional Ising model at criticality and using the simplest implementation of the FRG, we compute the probability distribution functions of the order parameter or equivalently its logarithm, called the rate functions in large deviations theory. We compute the entire family of universal scaling functions, obtained in the limit where the system size $L$ and the correlation length of the infinite system $\xi_{\infty}$ diverge, with the ratio $\zeta=L/\xi_{\infty}$ held fixed. It compares very accurately with numerical simulations.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire de Physique des Lasers, Atomes et Molécules (PhLAM) - UMR 8523

Source :

Harvested from HAL