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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…
Long-range correlations in a locally constrained exclusion process
Stefan Großkinsky, 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…
A lattice gas model for generic one-dimensional Hamiltonian Systems
Johannes Schmidt, Gunter M. Schütz, Henk van Beijeren
We present a three-lane exclusion process that exhibits the same universal fluctuation pattern as generic one-dimensional Hamiltonian dynamics with short-range interactions, viz.,…
On the phase transition in the sublattice TASEP with stochastic blockage
Gunter M. Schütz
We revisit the defect-induced nonequilibrium phase transition from a largely homogeneous free-flow phase to a phase-separated congested phase in the sublattice totally asymmetric s…
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…
Global Phase Diagram of a One-Dimensional Driven Lattice Gas
Dirk Helbing, David Mukamel, Gunter M. Schutz
We investigate the non-equilibrium stationary state of a translationally invariant one-dimensional driven lattice gas with short-range interactions. The phase diagram is found to e…
Dynamic Matrix Ansatz for Integrable Reaction-Diffusion Processes
Gunter M. Schütz
We show that the stochastic dynamics of a large class of one-dimensional interacting particle systems may be presented by integrable quantum spin Hamiltonians. Generalizing earlier…