Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Delamotte, Bertrand"'
We revisit the critical behavior of classical frustrated systems using the nonperturbative renormalization group (NPRG) equation. Our study is performed within the local potential approximation of this equation to which is added the flow of the field
Externí odkaz:
http://arxiv.org/abs/2409.17897
Rare events play a crucial role in understanding complex systems. Characterizing and analyzing them in scale-invariant situations is challenging due to strong correlations. In this work, we focus on characterizing the tails of probability distributio
Externí odkaz:
http://arxiv.org/abs/2409.01250
The Central Limit Theorem does not hold for strongly correlated stochastic variables, as is the case for statistical systems close to criticality. Recently, the calculation of the probability distribution function (PDF) of the magnetization mode has
Externí odkaz:
http://arxiv.org/abs/2407.12603
It is expected that conformal symmetry is an emergent property of many systems at their critical point. This imposes strong constraints on the critical behavior of a given system. Taking them into account in theoretical approaches can lead to a bette
Externí odkaz:
http://arxiv.org/abs/2401.02517
We study the $q$-state Potts model for $q$ and the space dimension $d$ arbitrary real numbers using the Derivative Expansion of the Nonperturbative Renormalization Group at its leading order, the local potential approximation (LPA and LPA'). We deter
Externí odkaz:
http://arxiv.org/abs/2309.06489
We show that at $N=\infty$ and below its upper critical dimension, $d
Externí odkaz:
http://arxiv.org/abs/2301.01021
Publikováno v:
Physical Review Letters, 130, 187102, 2023
Interfaces of phase-separated systems roughen in time due to capillary waves. Because of fluxes in the bulk, their dynamics is nonlocal in real space and is not described by the Edwards-Wilkinson or Kardar-Parisi-Zhang (KPZ) equations, nor their cons
Externí odkaz:
http://arxiv.org/abs/2209.05096
Publikováno v:
Phys.Rev.E 106 (2022) 5, 054105
We summarize the usual implementations of the large $N$ limit of $O(N)$ models and show in detail why and how they can miss some physically important fixed points when they become singular in the limit $N\to\infty$. Using Wilson's renormalization gro
Externí odkaz:
http://arxiv.org/abs/2104.02744
Publikováno v:
Phys. Rev. D 102, 065008 (2020)
We study the $O(N)$ model in dimension three (3$d$) at large and infinite $N$ and show that the line of fixed points found at $N=\infty$ --the Bardeen-Moshe-Bander (BMB) line-- has an intriguing origin at finite $N$. The large $N$ limit that allows u
Externí odkaz:
http://arxiv.org/abs/2001.07682
Publikováno v:
Phys. Rev. Lett. 123, 240604 (2019)
We provide analytical arguments showing that the non-perturbative approximation scheme to Wilson's renormalisation group known as the derivative expansion has a finite radius of convergence. We also provide guidelines for choosing the regulator funct
Externí odkaz:
http://arxiv.org/abs/1907.01829