Print Email Facebook Twitter Asymmetric Stochastic Transport Models with Uq(su(1,1)) Symmetry Title Asymmetric Stochastic Transport Models with Uq(su(1,1)) Symmetry Author Carinci, G. Giardina, C. Redig, F.H.J. Sasamoto, T. Faculty Electrical Engineering, Mathematics and Computer Science Department Delft Institute of Applied Mathematics Date 2016-02-19 Abstract By using the algebraic construction outlined in Carinci et al. (arXiv:?1407.?3367, 2014), we introduce several Markov processes related to the Uq(su(1,1)) quantum Lie algebra. These processes serve as asymmetric transport models and their algebraic structure easily allows to deduce duality properties of the systems. The results include: (a) the asymmetric version of the Inclusion Process, which is self-dual; (b) the diffusion limit of this process, which is a natural asymmetric analogue of the and which turns out to have the Symmetric Inclusion Process as a dual process; (c) the asymmetric analogue of the KMP Process, which also turns out to have a symmetric dual process. We give applications of the various duality relations by computing exponential moments of the current. To reference this document use: http://resolver.tudelft.nl/uuid:6ad12bd5-7c4a-4706-b856-bc036b7492a8 Publisher Springer ISSN 0022-4715 Source https://doi.org/10.1007/s10955-016-1473-4 Source Journal of Statistical Physics, 163 (2), 2016 Part of collection Institutional Repository Document type journal article Rights (c) 2016 The Author(s)This article is published with open access at Springerlink.com Files PDF Carinci_2016.pdf 570.48 KB Close viewer /islandora/object/uuid:6ad12bd5-7c4a-4706-b856-bc036b7492a8/datastream/OBJ/view