1207.7316 (D. A. Johnston et al.)

The PASEP at q=-1    [PDF]

D. A. Johnston, M. S. Stringer

We investigate the partially asymmetric exclusion process (PASEP) with open boundaries when the reverse hopping rate of particles q=-1, using a representation of the PASEP algebra related to the al-Salam Chihara polynomials. When q=-1 the representation is two-dimensional, which allows for straightforward calculation of the normalization, current and density. We note that these quantities behave in an a priori reasonable manner in spite of the apparently unphysical value of q as the input, alpha, and output, beta, rates are varied over the physical range of 0 to 1. As is well known, another two dimensional representation exists when 0View original: http://arxiv.org/abs/1207.7316