20 citations · 74 across the 8 of their papers we have counts for
8 papers
The phase diagram for a multispecies left-permeable asymmetric exclusion process
Arvind Ayyer, Caley Finn, Dipankar Roy
We study a multispecies generalization of a left-permeable asymmetric exclusion process (LPASEP) in one dimension with open boundaries. We determine all phases in the phase diagram…
Behaviour of traffic on a link with traffic light boundaries
Lele Zhang, Caley Finn, Timothy M. Garoni +1
This paper considers a single link with traffic light boundary conditions at both ends, and investigates the traffic evolution over time with various signal and system configuratio…
Matrix product solution to multi-species ASEP with open boundaries
C. Finn, E. Ragoucy, M. Vanicat
We study a class of multi-species ASEP with open boundaries. The boundaries are chosen in such a way that all species of particles interact non-trivially with the boundaries and ar…
Matrix product solution of a left-permeable two-species asymmetric exclusion process
Arvind Ayyer, Caley Finn, Dipankar Roy
We study a two-species partially asymmetric exclusion process where the left boundary is permeable for the `slower' species but the right boundary is not. We find a matrix product…
Matrix product construction for Koornwinder polynomials and fluctuations of the current in the open ASEP
C. Finn, M. Vanicat
Starting from the deformed current-counting transition matrix for the open boundary ASEP, we prove that with a further deformation, the symmetric Koornwinder polynomials for partit…
Integrable boundary conditions for multi-species ASEP
N. Crampe, C. Finn, E. Ragoucy +1
The first result of the present paper is to provide classes of explicit solutions for integrable boundary matrices for the multi-species ASEP with an arbitrary number of species. A…
Exclusion in a priority queue
Jan de Gier, Caley Finn
We introduce the prioritising exclusion process, a stochastic scheduling mechanism for a priority queueing system in which high priority customers gain advantage by overtaking low…
Relaxation rate of the reverse biased asymmetric exclusion process
Jan de Gier, Caley Finn, Mark Sorrell
We compute the exact relaxation rate of the partially asymmetric exclusion process with open boundaries, with boundary rates opposing the preferred direction of flow in the bulk. T…