Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series FORUM-ENS
Subjects cond-mat.stat-mech
Date Wednesday 5 February 2025
Time 12:45
Institute LPENS
Seminar Room 3 rue dUlm, College de France
Speaker's Last Name Javerzat
Speaker's First Name Nina
Speaker's Email Address nina [dot] javerzat [at] univ-grenoble-alpes [dot] fr
Speaker's Institution LIPhy
Title Renyi complexity in mean-field disordered systems
Abstract Configurational entropy, or complexity, plays a critical role in characterizing disordered systems such as glasses. Yet its measurement often requires significant computational resources. Recently, Renyi entropy, a one-parameter generalization of the Shannon entropy, has gained attention across various fields of physics due to its simpler functional form, making it more practical for measurements. I will explain that the Renyi complexity corresponds, in disordered models, to a generalized Franz-Parisi potential, namely the difference of the free energy of a cloned system and the original one. I will detail the case of the mean-field p-spin spherical model, where the computation of Rényi complexities can be performed analytically via the replica trick. the Renyi complexities vanish at the Kauzmann temperature Tk, suggesting that they are a useful observable for estimating Tk in practical applications. Moreover, we show that RSB solutions are required even in the liquid phase, where interesting relationships are found between Renyi complexities and the annealed Franz-Parisi potential.
arXiv Preprint Number 2411.19817
Comments
Attachments

To Generate a poster for this seminar : [ Postscript | PDF ]

[ Annonces ]    [ Abonnements ]    [ Archive ]    [ Aide ]    [ ]
[ English version ]