Introducing iFluid: a numerical framework for solving hydrodynamical equations in integrable models

Introducing iFluid: a numerical framework for solving hydrodynamical equations in integrable models

We present an open-source Matlab framework, titled iFluid, for simulating the dynamics of integrable models using the theory of generalized hydrodynamics (GHD). The framework provides an intuitive interface, enabling users to define and solve problems in a few lines of code. Moreover, iFluid can...

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Main Author: Frederik S. Møller, Jörg Schmiedmayer
Format: Article
Language:English
Published: SciPost 2020-03-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.8.3.041
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spelling doaj-ffa97b11cc4b4719b40abb867086d01f2021-04-19T11:30:19ZengSciPostSciPost Physics2542-46532020-03-018304110.21468/SciPostPhys.8.3.041Introducing iFluid: a numerical framework for solving hydrodynamical equations in integrable modelsFrederik S. Møller, Jörg SchmiedmayerWe present an open-source Matlab framework, titled iFluid, for simulating the dynamics of integrable models using the theory of generalized hydrodynamics (GHD). The framework provides an intuitive interface, enabling users to define and solve problems in a few lines of code. Moreover, iFluid can be extended to encompass any integrable model, and the algorithms for solving the GHD equations can be fully customized. We demonstrate how to use iFluid by solving the dynamics of three distinct systems: (i) The quantum Newton's cradle of the Lieb-Liniger model, (ii) a gradual field release in the XXZ-chain, and (iii) a partitioning protocol in the relativistic sinh-Gordon model.https://scipost.org/SciPostPhys.8.3.041
collection DOAJ
language English
format Article
sources DOAJ
author Frederik S. Møller, Jörg Schmiedmayer
spellingShingle Frederik S. Møller, Jörg Schmiedmayer
Introducing iFluid: a numerical framework for solving hydrodynamical equations in integrable models
SciPost Physics
author_facet Frederik S. Møller, Jörg Schmiedmayer
author_sort Frederik S. Møller, Jörg Schmiedmayer
title Introducing iFluid: a numerical framework for solving hydrodynamical equations in integrable models
title_short Introducing iFluid: a numerical framework for solving hydrodynamical equations in integrable models
title_full Introducing iFluid: a numerical framework for solving hydrodynamical equations in integrable models
title_fullStr Introducing iFluid: a numerical framework for solving hydrodynamical equations in integrable models
title_full_unstemmed Introducing iFluid: a numerical framework for solving hydrodynamical equations in integrable models
title_sort introducing ifluid: a numerical framework for solving hydrodynamical equations in integrable models
publisher SciPost
series SciPost Physics
issn 2542-4653
publishDate 2020-03-01
description We present an open-source Matlab framework, titled iFluid, for simulating the dynamics of integrable models using the theory of generalized hydrodynamics (GHD). The framework provides an intuitive interface, enabling users to define and solve problems in a few lines of code. Moreover, iFluid can be extended to encompass any integrable model, and the algorithms for solving the GHD equations can be fully customized. We demonstrate how to use iFluid by solving the dynamics of three distinct systems: (i) The quantum Newton's cradle of the Lieb-Liniger model, (ii) a gradual field release in the XXZ-chain, and (iii) a partitioning protocol in the relativistic sinh-Gordon model.
url https://scipost.org/SciPostPhys.8.3.041
work_keys_str_mv AT frederiksmøllerjorgschmiedmayer introducingifluidanumericalframeworkforsolvinghydrodynamicalequationsinintegrablemodels
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