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dc.contributor.author | Croydon, David A. | en |
dc.contributor.author | Sasada, Makiko | en |
dc.date.accessioned | 2022-02-15T09:21:44Z | - |
dc.date.available | 2022-02-15T09:21:44Z | - |
dc.date.issued | 2021-04 | - |
dc.identifier.uri | http://hdl.handle.net/2433/267919 | - |
dc.description.abstract | We deduce a generalized hydrodynamic limit for the box–ball system, which explains how the densities of solitons of different sizes evolve asymptotically under Euler space-time scaling. To describe the limiting soliton flow, we introduce a continuous state-space analogue of the soliton decomposition of Ferrari, Nguyen, Rolla and Wang (cf. the original work of Takahashi and Satsuma), namely we relate the densities of solitons of given sizes in space to corresponding densities on a scale of ‘effective distances’, where the dynamics are linear. For smooth initial conditions, we further show that the resulting evolution of the soliton densities in space can alternatively be characterised by a partial differential equation, which naturally links the time-derivatives of the soliton densities and the ‘effective speeds’ of solitons locally. | en |
dc.language.iso | eng | - |
dc.publisher | Springer Nature | en |
dc.rights | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00220-020-03914-x | en |
dc.rights | The full-text file will be made open to the public on 20 November 2021 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. | en |
dc.rights | This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 | en |
dc.title | Generalized Hydrodynamic Limit for the Box–Ball System | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Communications in Mathematical Physics | en |
dc.identifier.volume | 383 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 427 | - |
dc.identifier.epage | 463 | - |
dc.relation.doi | 10.1007/s00220-020-03914-x | - |
dc.textversion | author | - |
dcterms.accessRights | open access | - |
datacite.date.available | 2021-11-20 | - |
datacite.awardNumber | 19H01792 | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-19H01792/ | - |
dc.identifier.pissn | 0010-3616 | - |
dc.identifier.eissn | 1432-0916 | - |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.awardTitle | Pitman変換に基づく確率論による離散可積分系の解析 | ja |
出現コレクション: | 学術雑誌掲載論文等 |
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