Projects per year
Abstract
In this work we construct the stationary measure of the N species totally asymmetric simple exclusion process in a matrix product formulation. We make the connection between the matrix product formulation and the queueing theory picture of Ferrari and Martin. In particular, in the standard representation, the matrices act on the space of queue lengths. For N > 2 the matrices in fact become tensor products of elements of quadratic algebras. This enables us to give a purely algebraic proof of the stationary measure which we present for N=3.
Original language  English 

Pages (fromto)  217239 
Number of pages  23 
Journal  Journal of Statistical Physics 
Volume  135 
Issue number  2 
DOIs  
Publication status  Published  Apr 2009 
Keywords
 Totally asymmetric simple exclusion process
 Multispecies systems
 Stationary states
 Matrix representation
 SIMPLE EXCLUSION PROCESS
 MODEL
 PARTICLES
Projects
 1 Finished

Edinbugrh Soft Matter and Statistical Physics Programme Grant Renewal
Cates, M., Poon, W., Ackland, G., Clegg, P., Evans, M., MacPhee, C. & Marenduzzo, D.
1/10/07 → 31/03/12
Project: Research