137 citations · 515 across the 21 of their papers we have counts for
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Exact solution to integrable open multi-species SSEP and macroscopic fluctuation theory
Matthieu Vanicat
We introduce a multi-species generalization of the symmetric simple exclusion process with open boundaries. This model possesses the property of being integrable and appears as phy…
Matrix product construction for Koornwinder polynomials and fluctuations of the current in the open ASEP
C. Finn, M. Vanicat
Starting from the deformed current-counting transition matrix for the open boundary ASEP, we prove that with a further deformation, the symmetric Koornwinder polynomials for partit…
Matrix product solution to a 2-species TASEP with open integrable boundaries
N. Crampe, M. R. Evans, K. Mallick +2
We present an explicit representation for the matrix product ansatz for some two-species TASEP with open boundary conditions. The construction relies on the integrability of the mo…
Integrable boundary conditions for multi-species ASEP
N. Crampe, C. Finn, E. Ragoucy +1
The first result of the present paper is to provide classes of explicit solutions for integrable boundary matrices for the multi-species ASEP with an arbitrary number of species. A…
Integrable dissipative exclusion process: Correlation functions and physical properties
N. Crampe, E. Ragoucy, V. Rittenberg +1
We study a one-parameter generalization of the symmetric simple exclusion process on a one dimensional lattice. In addition to the usual dynamics (where particles can hop with equa…