Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Vanicat, M."'
We study a class of multi-species ASEP with open boundaries. The boundaries are chosen in such a way that all species of particles interact non-trivially with the boundaries and are present in the stationary state. We give the exact expression of the
Externí odkaz:
http://arxiv.org/abs/1712.06809
In the continuity of our previous paper arXiv:1509.05516, we define three new algebras, $A_{n}(a,b,c)$, $B_{n}$ and $C_{n}$, that are close to the braid algebra. They allow to build solutions to the braided Yang-Baxter equation with spectral paramete
Externí odkaz:
http://arxiv.org/abs/1708.02754
Autor:
Finn, C., Vanicat, M.
Publikováno v:
J. Stat. Mech. (2017) 023102
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 partitions with equal row lengths appear as the normalisation of the twice d
Externí odkaz:
http://arxiv.org/abs/1610.08320
Publikováno v:
J. Phys. A: Math. Theor. 49 (2016) 475001
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 models, a property that constrains the possible rates at the boundaries.
Externí odkaz:
http://arxiv.org/abs/1606.08148
Publikováno v:
J. Phys. A49 (2016) 375201
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. All the solutions we have obtained can be seen as representations of a
Externí odkaz:
http://arxiv.org/abs/1606.01018
Publikováno v:
Phys. Rev. E 94, 032102 (2016)
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 equal rates to the left or to the right with an exclusion constraint), ann
Externí odkaz:
http://arxiv.org/abs/1603.06796
Publikováno v:
J. Math. Phys. 57 (2016) 093504
Using the nested coordinate Bethe ansatz, we study 33-vertex models, where only one global charge with degenerate eigenvalues exists and each site possesses three internal degrees of freedom. In the context of Markovian processes, they correspond to
Externí odkaz:
http://arxiv.org/abs/1509.07589
Publikováno v:
Comm. Math. Phys. 349 (2017) 271
We introduce a new Baxterisation for R-matrices that depend separately on two spectral parameters. The Baxterisation is based on a new algebra, close to but different from the braid group. This allows us to recover the R-matrix of the multi-species g
Externí odkaz:
http://arxiv.org/abs/1509.05516
Publikováno v:
J Phys A48 (2015) 484002
We study discrete time Markov processes with periodic or open boundary conditions and with inhomogeneous rates in the bulk. The Markov matrices are given by the inhomogeneous transfer matrices introduced previously to prove the integrability of quant
Externí odkaz:
http://arxiv.org/abs/1506.04874
Publikováno v:
J. Phys. A: Math. Theor. 48 (2015) 175002
We give a complete classification of integrable Markovian boundary conditions for the asymmetric simple exclusion process with two species (or classes) of particles. Some of these boundary conditions lead to non-vanishing particle currents for each s
Externí odkaz:
http://arxiv.org/abs/1412.5939