Generalized hydrodynamics in complete box-ball system for $U_q(\widehat{sl}_n)$

Generalized hydrodynamics in complete box-ball system for $U_q(\widehat{sl}_n)$

We introduce the complete box-ball system (cBBS), which is an integrable cellular automaton on 1D lattice associated with the quantum group $U_q(\widehat{sl}_n)$. Compared with the conventional $(n-1)$-color BBS, it enjoys a remarkable simplification that scattering of solitons is totally diagon...

Full description

Bibliographic Details
Main Author: Atsuo Kuniba, Grégoire Misguich, Vincent Pasquier
Format: Article
Language:English
Published: SciPost 2021-04-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.10.4.095
id doaj-19a9bb99dac0496590b850d2856d1909
record_format Article
spelling doaj-19a9bb99dac0496590b850d2856d19092021-04-30T07:31:59ZengSciPostSciPost Physics2542-46532021-04-0110409510.21468/SciPostPhys.10.4.095Generalized hydrodynamics in complete box-ball system for $U_q(\widehat{sl}_n)$Atsuo Kuniba, Grégoire Misguich, Vincent PasquierWe introduce the complete box-ball system (cBBS), which is an integrable cellular automaton on 1D lattice associated with the quantum group $U_q(\widehat{sl}_n)$. Compared with the conventional $(n-1)$-color BBS, it enjoys a remarkable simplification that scattering of solitons is totally diagonal. We also submit the cBBS to randomized initial conditions and study its non-equilibrium behavior by thermodynamic Bethe ansatz and generalized hydrodynamics. Excellent agreement is demonstrated between theoretical predictions and numerical simulation on the density plateaux generated from domain wall initial conditions including their diffusive broadening.https://scipost.org/SciPostPhys.10.4.095
collection DOAJ
language English
format Article
sources DOAJ
author Atsuo Kuniba, Grégoire Misguich, Vincent Pasquier
spellingShingle Atsuo Kuniba, Grégoire Misguich, Vincent Pasquier
Generalized hydrodynamics in complete box-ball system for $U_q(\widehat{sl}_n)$
SciPost Physics
author_facet Atsuo Kuniba, Grégoire Misguich, Vincent Pasquier
author_sort Atsuo Kuniba, Grégoire Misguich, Vincent Pasquier
title Generalized hydrodynamics in complete box-ball system for $U_q(\widehat{sl}_n)$
title_short Generalized hydrodynamics in complete box-ball system for $U_q(\widehat{sl}_n)$
title_full Generalized hydrodynamics in complete box-ball system for $U_q(\widehat{sl}_n)$
title_fullStr Generalized hydrodynamics in complete box-ball system for $U_q(\widehat{sl}_n)$
title_full_unstemmed Generalized hydrodynamics in complete box-ball system for $U_q(\widehat{sl}_n)$
title_sort generalized hydrodynamics in complete box-ball system for $u_q(\widehat{sl}_n)$
publisher SciPost
series SciPost Physics
issn 2542-4653
publishDate 2021-04-01
description We introduce the complete box-ball system (cBBS), which is an integrable cellular automaton on 1D lattice associated with the quantum group $U_q(\widehat{sl}_n)$. Compared with the conventional $(n-1)$-color BBS, it enjoys a remarkable simplification that scattering of solitons is totally diagonal. We also submit the cBBS to randomized initial conditions and study its non-equilibrium behavior by thermodynamic Bethe ansatz and generalized hydrodynamics. Excellent agreement is demonstrated between theoretical predictions and numerical simulation on the density plateaux generated from domain wall initial conditions including their diffusive broadening.
url https://scipost.org/SciPostPhys.10.4.095
work_keys_str_mv AT atsuokunibagregoiremisguichvincentpasquier generalizedhydrodynamicsincompleteboxballsystemforuqwidehatsln
_version_ 1721498205694197760

Similar Items