Connected operators for the totally asymmetric exclusion process

O. Golinelli (1) , K. Mallick (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

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.

Mots clés: Non-Equilibrium Statistical Mechanics; ASEP; Exact Results; Algebraic Bethe Ansatz

Domaines: Physique [physics]

O. Golinelli, K. Mallick. Connected operators for the totally asymmetric exclusion process. Journal of Physics A: Mathematical and Theoretical, 2007, 40 (44), pp.13231-13236. ⟨10.1088/1751-8113/40/44/004⟩. ⟨cea-02062090⟩