Integrability of the Multi-Species TASEP with Species-Dependent Rates
Assume that each species <i>l</i> has its own jump rate <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>b</mi><mi>l</mi></msub></semantics></math>&...
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doaj-29219c0361984890888eed8d1a8bf5252021-09-26T01:30:44ZengMDPI AGSymmetry2073-89942021-08-01131578157810.3390/sym13091578Integrability of the Multi-Species TASEP with Species-Dependent RatesEunghyun Lee0Department of Mathematics, Nazarbayev University, Nur-Sultan 010000, KazakhstanAssume that each species <i>l</i> has its own jump rate <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>b</mi><mi>l</mi></msub></semantics></math></inline-formula> in the multi-species totally asymmetric simple exclusion process. We show that this model is <i>integrable</i> in the sense that the Bethe ansatz method is applicable to obtain the transition probabilities for all possible <i>N</i>-particle systems with up to <i>N</i> different species.https://www.mdpi.com/2073-8994/13/9/1578TASEPASEPmulti-speciesBethe ansatz |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Eunghyun Lee |
spellingShingle |
Eunghyun Lee Integrability of the Multi-Species TASEP with Species-Dependent Rates Symmetry TASEP ASEP multi-species Bethe ansatz |
author_facet |
Eunghyun Lee |
author_sort |
Eunghyun Lee |
title |
Integrability of the Multi-Species TASEP with Species-Dependent Rates |
title_short |
Integrability of the Multi-Species TASEP with Species-Dependent Rates |
title_full |
Integrability of the Multi-Species TASEP with Species-Dependent Rates |
title_fullStr |
Integrability of the Multi-Species TASEP with Species-Dependent Rates |
title_full_unstemmed |
Integrability of the Multi-Species TASEP with Species-Dependent Rates |
title_sort |
integrability of the multi-species tasep with species-dependent rates |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2021-08-01 |
description |
Assume that each species <i>l</i> has its own jump rate <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>b</mi><mi>l</mi></msub></semantics></math></inline-formula> in the multi-species totally asymmetric simple exclusion process. We show that this model is <i>integrable</i> in the sense that the Bethe ansatz method is applicable to obtain the transition probabilities for all possible <i>N</i>-particle systems with up to <i>N</i> different species. |
topic |
TASEP ASEP multi-species Bethe ansatz |
url |
https://www.mdpi.com/2073-8994/13/9/1578 |
work_keys_str_mv |
AT eunghyunlee integrabilityofthemultispeciestasepwithspeciesdependentrates |
_version_ |
1716868828931031040 |