Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7550301 | Stochastic Processes and their Applications | 2018 | 47 Pages |
Abstract
We construct all invariant measures of the n-species priority asymmetric simple exclusion process with reflecting boundaries and prove reversibility. Using the symmetry of the generator of the process under the quantum algebra Uq[gl(n+1)] we derive self-duality functions. From these we obtain in explicit form the time evolution on Z of a family of measures with K shocks in terms of the transition probability of a shock exclusion process with K coloured particles with particle-dependent hopping rates and nearest-neighbour colour exchange. This process is a gas of particles that form a bound state, corresponding to shock coalescence on macroscopic scale.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
V. Belitsky, G.M. Schütz,