Connected Operators for the Totally Asymmetric Exclusion Process

Details Connected Operators for the Totally Asymmetric Exclusion Process Connected Operators for the Totally Asymmetric Exclusion Process

2007-04-06

arxiv.org/abs/0704.0869v1

J. Phys. A: Math. Theor. 40 (2007) 13231-13236

Physics

Condensed Matter

Statistical Mechanics

10 pages

Scientific paper

10.1088/1751-8113/40/44/004

We fully elucidate the structure of the hierarchy of the connected operators that commute with the Markov matrix of the Totally Asymmetric Exclusion Process (TASEP). We prove for the connected operators a combinatorial formula that was conjectured in a previous work. Our derivation is purely algebraic and relies on the algebra generated by the local jump operators involved in the TASEP. Keywords: Non-Equilibrium Statistical Mechanics, ASEP, Exact Results, Algebraic Bethe Ansatz.

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