Derivation of a matrix product representation for the asymmetric exclusion process from the algebraic Bethe ansatz
Journal of Physics A: Mathematical and General, ISSN: 0305-4470, Vol: 39, Issue: 34, Page: 10647-10658
2006
- 36Citations
- 6Captures
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Article Description
We derive, using the algebraic Bethe ansatz, a generalized matrix product ansatz for the asymmetric exclusion process (ASEP) on a one-dimensional periodic lattice. In this matrix product ansatz, the components of the eigenvectors of the ASEP Markov matrix can be expressed as traces of products of non-commuting operators. We derive the relations between the operators involved and show that they generate a quadratic algebra. Our construction provides explicit finite-dimensional representations for the generators of this algebra. © 2006 IOP Publishing Ltd.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=33747204827&origin=inward; http://dx.doi.org/10.1088/0305-4470/39/34/004; https://iopscience.iop.org/article/10.1088/0305-4470/39/34/004; http://stacks.iop.org/0305-4470/39/i=34/a=004/pdf; https://dx.doi.org/10.1088/0305-4470/39/34/004; https://validate.perfdrive.com/9730847aceed30627ebd520e46ee70b2/?ssa=44af7923-d454-4c8e-b0e5-95fd2d59f90a&ssb=73491250897&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F0305-4470%2F39%2F34%2F004&ssi=815e6602-cnvj-4f4f-8f29-58d79f45500f&ssk=botmanager_support@radware.com&ssm=227012961285135848623307855600381878&ssn=9442b4668e4a06732ec4995a0de45dac4e230900c3c4-8990-4f21-a1756d&sso=e112ff8c-bc564dd29dea5035cdf95e03a9adf73de888031503995148&ssp=71053715971726559795172711292881501&ssq=84814212417936154428629239602585873348103&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJ1em14IjoiN2Y5MDAwMGMxZDc2YmItMzk2MS00N2VjLTlkZGItNjdmYTVhZTY2ODdlOC0xNzI2NTI5MjM5NDUzNTk0OTQwMzcyLTJiNWNmODBkMjZiYTM3NzQ4NjIwMzYiLCJyZCI6ImlvcC5vcmciLCJfX3V6bWYiOiI3ZjYwMDBkNzYzNGE3Ni05ZTRkLTRjMmMtYjJhMC1mYzAzNGMyZjE1MjkxNzI2NTI5MjM5NDUzNTk0OTQwMzcyLTFjNTU4YzA1YmE3MjQwOTM4NjIxMjYifQ==
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