Integrable boundary conditions for multi-species ASEP
Abstract
The first result of the present paper is to provide classes of explicit solutions for integrable boundary matrices for the multi-species ASEP with an arbitrary number of species. All the solutions we have obtained can be seen as representations of a new algebra that contains the boundary Hecke algebra. The boundary Hecke algebra is not sufficient to build these solutions. This is the second result of our paper.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- September 2016
- DOI:
- 10.1088/1751-8113/49/37/375201
- arXiv:
- arXiv:1606.01018
- Bibcode:
- 2016JPhA...49K5201C
- Keywords:
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- Mathematical Physics;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 20 pages