Transfer matrices for the totally asymmetric exclusion process

Details Transfer matrices for the totally asymmetric exclusion process Transfer matrices for the totally asymmetric exclusion process

2010-01-07

arxiv.org/abs/1001.1064v1

Physics

Condensed Matter

Statistical Mechanics

7 pages

Scientific paper

We consider the totally asymmetric simple exclusion process (TASEP) on a finite lattice with open boundaries. We show, using the recursive structure of the Markov matrix that encodes the dynamics, that there exist two transfer matrices $T_{L-1,L}$ and $\tilde{T}_{L-1,L}$ that intertwine the Markov matrices of consecutive system sizes: $\tilde{T}_{L-1,L}M_{L-1}=M_{L}T_{L-1,L}$. This semi-conjugation property of the dynamics provides an algebraic counterpart for the matrix-product representation of the steady state of the process.

Affiliated with

Also associated with

No associations

Rating

Transfer matrices for the totally asymmetric exclusion process does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Transfer matrices for the totally asymmetric exclusion process, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transfer matrices for the totally asymmetric exclusion process will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-373575