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>&...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-08-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/13/9/1578 |
| id |
doaj-29219c0361984890888eed8d1a8bf525 |
|---|---|
| record_format |
Article |
| spelling |
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 |