Correlations in the multispecies PASEP on a ring

Abstract

Ayyer and Linusson studied correlations in the multispecies TASEP on a ring (Trans AMS, 2017) using a combinatorial analysis of the multiline queues construction defined by Ferrari and Martin (AOP, 2008). It is natural to explore whether an analogous application of appropriate multiline queues could give similar results for the partially asymmetric case. In this paper, we solve this problem of correlations of adjacent particles on the first two sites in the multispecies PASEP on a finite ring. We use the multiline processes defined by Martin (EJP, 2020), the dynamics of which also depend on the asymmetry parameter $q$, to compute the correlations.

References in corpus (8)

• Stationary distributions of multi-type totally asymmetric exclusion processes
• Matrix representation of the stationary measure for the multispecies TASEP
• The TASEP speed process
• Matrix product solution of the multispecies partially asymmetric exclusion process
• Matrix product formula for Macdonald polynomials
• Recursive structures in the multispecies TASEP
• Correlation Function of Asymmetric Simple Exclusion Process with Open Boundaries
• Correlations in the Multispecies TASEP and a Conjecture by Lam