160 citations · 547 across the 10 of their papers we have counts for
10 papers
Stability of a Nonequilibrium Interface in a Driven Phase Segregating System
Claude A. Laberge, Sven Sandow
We investigate the dynamics of a nonequilibrium interface between coexisting phases in a system described by a Cahn-Hilliard equation with an additional driving term. By means of a…
Finite Dimensional Representations of the Quadratic Algebra: Applications to the Exclusion Process
Kirone Mallick, Sven Sandow
We study the one dimensional partially asymmetric simple exclusion process (ASEP) with open boundaries, that describes a system of hard-core particles hopping stochastically on a c…
Deterministic Exclusion Process with a Stochastic Defect: Matrix-Product Ground States
Haye Hinrichsen, Sven Sandow
We study a one-dimensional anisotropic exclusion model describing particles moving deterministically on a ring with a single defect across which they move with probability 0 < q <…
Matrix Product Eigenstates for One-Dimensional Stochastic Models and Quantum Spin Chains
Klaus Krebs, Sven Sandow
We show that all zero energy eigenstates of an arbitrary --state quantum spin chain Hamiltonian with nearest neighbor interaction in the bulk and single site boundary terms, whi…
On Matrix Product Ground States for Reaction-Diffusion Models
Haye Hinrichsen, Sven Sandow, Ingo Peschel
We discuss a new mechanism leading to a matrix product form for the stationary state of one-dimensional stochastic models. The corresponding algebra is quadratic and involves four…
Spontaneous symmetry breaking: exact results for a biased random walk model of an exclusion process
C. Godreche, J. M. Luck, M. R. Evans +3
It has been recently suggested that a totally asymmetric exclusion process with two species on an open chain could exhibit spontaneous symmetry breaking in some range of the parame…