128 citations · 522 across the 14 of their papers we have counts for
8 papers · 1 filter
Matrix Coordinate Bethe Ansatz: Applications to XXZ and ASEP models
N. Crampe, E. Ragoucy, D. Simon
We present the construction of the full set of eigenvectors of the open ASEP and XXZ models with special constraints on the boundaries. The method combines both recent construction…
Bethe Ansatz for the Weakly Asymmetric Simple Exclusion Process and phase transition in the current distribution
Damien Simon
The probability distribution of the current in the asymmetric simple exclusion process is expected to undergo a phase transition in the regime of weak asymmetry of the jumping rate…
Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions
Nicolas Crampé, Eric Ragoucy, Damien Simon
We present a generalization of the coordinate Bethe ansatz that allows us to solve integrable open XXZ and ASEP models with non-diagonal boundary matrices, provided their parameter…
Asymmetric simple exclusion process on a ring conditioned on enhanced flux
Vladislav Popkov, Gunter M. Schütz, Damien Simon
We show that in the asymmetric simple exclusion process (ASEP) on a ring, conditioned on carrying a large flux, the particle experience an effective long-range potential which in t…
Construction of a Coordinate Bethe Ansatz for the asymmetric simple exclusion process with open boundaries
Damien Simon
The asymmetric simple exclusion process with open boundaries, which is a very simple model of out-of-equilibrium statistical physics, is known to be integrable. In particular, its…
Quasi-stationary regime of a branching random walk in presence of an absorbing wall
Damien Simon, Bernard Derrida
A branching random walk in presence of an absorbing wall moving at a constant velocity undergoes a phase transition as the velocity of the wall varies. Below the critical v…