TY  - JOUR
AU  - Belitsky, V.
AU  - Schütz, Gunter M.
TI  - Quantum Algebra Symmetry of the ASEP with Second-Class Particles
JO  - Journal of statistical physics
VL  - 161
SN  - 0022-4715
CY  - New York, NY [u.a.]
PB  - Springer Science + Business Media B.V.
M1  - FZJ-2015-07275
SP  - 821-842
PY  - 2015
AB  - We consider a two-component asymmetric simple exclusion process (ASEP) on a finite lattice with reflecting boundary conditions. For this process, which is equivalent to the ASEP with second-class particles, we construct the representation matrices of the quantum algebra Uq[gl(3)] that commute with the generator. As a byproduct we prove reversibility and obtain in explicit form the reversible measure. A review of the algebraic techniques used in the proofs is given.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000363257600002
DO  - DOI:10.1007/s10955-015-1363-1
UR  - https://juser.fz-juelich.de/record/279260
ER  -