KPZ fluctuations in finite volume - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue SciPost Physics Lecture Notes Année : 2024

KPZ fluctuations in finite volume

Résumé

These lecture notes, adapted from the habilitation thesis of the author, survey in a first part various exact results obtained in the past few decades about KPZ fluctuations in one dimension, with a special focus on finite volume effects describing the relaxation to its stationary state of a finite system starting from a given initial condition. The second part is more specifically devoted to an approach allowing to express in a simple way the statistics of the current in the totally asymmetric simple exclusion process in terms of a contour integral on a compact Riemann surface, whose infinite genus limit leads to KPZ fluctuations in finite volume.

Dates et versions

hal-04663682 , version 1 (29-07-2024)

Identifiants

Citer

Sylvain Prolhac. KPZ fluctuations in finite volume. SciPost Physics Lecture Notes, 2024, 81, pp.1. ⟨10.21468/SciPostPhysLectNotes.81⟩. ⟨hal-04663682⟩
10 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More