87 citations · 303 across the 20 of their papers we have counts for
22 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…
Stochastic Burgers Equation from Non-Product Stationary Measures via a Generalised Second-Order Boltzmann-Gibbs Principle
Patrícia Gonçalves, Maria Chiara Ricciuti, Gunter Schütz
We prove a generalised second-order Boltzmann-Gibbs principle for conservative interacting particle systems on a lattice whose stationary measures are not of product type and not i…
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…
Open interacting particle systems and Ising measures
Ngo P. N. Ngoc, Gunter M. Schütz
We first survey some open questions concerning stochastic interacting particle systems with open boundaries. Then an asymmetric exclusion process with open boundaries that generali…
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…
Asymmetric exclusion process with long-range interactions
V. Belitsky, N. P. N. Ngoc, G. M. Schütz
We introduce the headway exclusion process which is an exclusion process with particles on the one-dimensional discrete torus with sites with jump rates that depend only on…
Duality for some models of epidemic spreading
Chiara Franceschini, Ellen Saada, Gunter M. Schütz +1
We examine the role of boundaries and the structure of nontrivial duality functions for three non conservative interacting particle systems in one dimension that model epidemic spr…
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…
Effective quantum Zeno dynamics in dissipative quantum systems
Vladislav Popkov, Simon Essink, Carlo Presilla +1
We investigate the time evolution of an open quantum system described by a Lindblad master equation with dissipation acting only on a part of the degrees of freedom of…
On the Fibonacci universality classes in nonlinear fluctuating hydrodynamics
Gunter M. Schütz
We present a lattice gas model that without fine tuning of parameters is expected to exhibit the so far elusive modified Kardar-Parisi-Zhang (KPZ) universality class. To this end,…
Duality relations for the ASEP conditioned on a low current
G. M. Schütz
We consider the asymmetric simple exclusion process (ASEP) on a finite lattice with periodic boundary conditions, conditioned to carry an atypically low current. For an infinite di…
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…
Transport diffusion coefficient for a Knudsen gas in a random tube
Francis Comets, Serguei Popov, Gunter M. Schütz +1
We consider transport diffusion in a stochastic billiard in a random tube which is elongated in the direction of the first coordinate (the tube axis). Inside the random tube, which…
Quenched invariance principle for the Knudsen stochastic billiard in a random tube
Francis Comets, Serguei Popov, Gunter M. Schütz +1
We consider a stochastic billiard in a random tube which stretches to infinity in the direction of the first coordinate. This random tube is stationary and ergodic, and also it is…
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…
An exactly solvable lattice model for inhomogeneous interface growth
Gunter M. Schütz
We study the dynamics of an exactly solvable lattice model for inhomogeneous interface growth. The interface grows deterministically with constant velocity except along a defect li…
Diffusion-annihilation dynamics in one spatial dimension
Jaime E. Santos, Gunter M. Schutz, Robin B. Stinchcombe
We discuss a reaction-diffusion model in one dimension subjected to an external driving force. Each lattice site may be occupied by at most one particle. The particles hop with asy…
Diffusion-Annihilation in the Presence of a Driving Field
Gunter M. Schütz
We study the effect of an external driving force on a simple stochastic reaction-diffusion system in one dimension. In our model each lattice site may be occupied by at most one pa…
Reaction-Diffusion Processes of Hard-Core Particles
Gunter M. Schütz
We study a 12-parameter stochastic process involving particles with two-site interaction and hard-core repulsion on a -dimensional lattice. In this model, which includes the asy…