We prove large deviation principles (LDP) for the invariant measures of the multiclass totally asymmetric simple exclusion process (TASEP) and the multiclass Hammersley { Aldous { Diaconis (HAD) process on a torus. The proof is based on a combinatorial representation of the measures in terms of a collapsing procedure introduced in [2] for the 2-class TASEP and then generalized in [9], [10] and [11] to the multiclass TASEP and the multiclass HAD process. The rate functionals are written in terms of variational problems that we solve in the cases of 2-class processes.
From combinatorics to large deviations for the invariant measures of some multiclass particle systems
GABRIELLI, DAVIDE
2008-01-01
Abstract
We prove large deviation principles (LDP) for the invariant measures of the multiclass totally asymmetric simple exclusion process (TASEP) and the multiclass Hammersley { Aldous { Diaconis (HAD) process on a torus. The proof is based on a combinatorial representation of the measures in terms of a collapsing procedure introduced in [2] for the 2-class TASEP and then generalized in [9], [10] and [11] to the multiclass TASEP and the multiclass HAD process. The rate functionals are written in terms of variational problems that we solve in the cases of 2-class processes.File in questo prodotto:
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