4 papers
Exact Results for the Symmetric Dyson Exclusion Process
Ali Zahra, Jerome Dubail, Gunter M. Schutz
The symmetric Dyson exclusion process (SDEP) is an exclusion process on the lattice with a long-range logarithmic Coulomb-type interaction. It appears in several equivalent forms:…
Hydrodynamics and boundary-induced phase transitions in the -species particle-exchange process
Gunter M. Schutz, Ali Zahra
The -species particle-exchange process (PEP()) is an exclusion process in which particles of different species exchange positions on neighbouring sites with rates chosen…
Universal cumulants and conformal invariance in annihilating random walks with pair deposition
Dragi Karevski, Gunter M Schütz, Ali Zahra
We consider annihilating random walks on the finite one-dimensional integer torus with deposition of pairs of particles, conditioned on an atypical jump activity. All cumulants of…
Long-range correlations in a locally constrained exclusion process
Stefan GroÃkinsky, Gunter Schütz, Ali Zahra
We introduce a novel exclusion process with a simple local kinetic constraint that leads to a remarkable transition between a homogeneous phase with short-range correlations and a…