591 citations · 1.2k across the 18 of their papers we have counts for
18 papers
Quest for the golden ratio universality class
V. Popkov, G. M. Schütz
Using mode coupling theory the conditions for all allowed dynamical universality classes for the conserved modes in one-dimensional driven systems are presented in closed form as a…
Conformal invariance in driven diffusive systems at high currents
D. Karevski, G. M. Schütz
We consider space-time correlations in driven diffusive systems which undergo a fluctuation into a regime with an atypically large current or dynamical activity. For a single conse…
Universality classes in two-component driven diffusive systems
V. Popkov, J. Schmidt, G. M. Schütz
We study time-dependent density fluctuations in the stationary state of driven diffusive systems with two conserved densities . Using Monte-Carlo simulations of two coupled si…
Non-KPZ modes in two-species driven diffusive systems
Vladislav Popkov, Johannes Schmidt, Gunter Schütz
Using mode coupling theory and dynamical Monte-Carlo simulations we investigate the scaling behaviour of the dynamical structure function of a two-species asymmetric simple exclusi…
Transition probabilities and dynamic structure factor in the ASEP conditioned on strong flux
V. Popkov, G. M. Schütz
We consider the asymmetric simple exclusion processes (ASEP) on a ring constrained to produce an atypically large flux, or an extreme activity. Using quantum free fermion technique…
Robustness of spontaneous symmetry breaking in a bridge model
Shamik Gupta, David Mukamel, Gunter M. Schutz
A simple two-species asymmetric exclusion model in one dimension with bulk and boundary exchanges of particles is investigated for the existence of spontaneous symmetry breaking. T…
Why spontaneous symmetry breaking disappears in a bridge system with PDE-friendly boundaries
Vladislav Popkov, Gunter M. Schuetz
We consider a driven diffusive system with two types of particles, A and B, coupled at the ends to reservoirs with fixed particle densities. To define stochastic dynamics that corr…
Exact Hurst exponent and crossover behavior in a limit order market model
R. D. Willmann, G. M. Schuetz, D. Challet
An exclusion particle model is considered as a highly simplified model of a limit order market. Its price behavior reproduces the well known crossover from over-diffusion (Hurst ex…
The spin-1/2 XXZ Heisenberg chain, the quantum algebra U_q[sl(2)], and duality transformations for minimal models
Uwe Grimm, Gunter M. Schuetz
The finite-size scaling spectra of the spin-1/2 XXZ Heisenberg chain with toroidal boundary conditions and an even number of sites provide a projection mechanism yielding the spect…
Symmetry effects and equivalences in lattice models of hydrophobic interaction
G. M. Schütz, I. Ispolatov, G. T. Barkema +1
We establish the equivalence of a recently introduced discrete model of the hydrophobic interaction, as well as its extension to continuous state variables, with the Ising model in…
Annihilating random walks in one-dimensional disordered media
G. M. Schütz, K. Mussawisade
We study diffusion-limited pair annihilation on one-dimensional lattices with inhomogeneous nearest neighbour hopping in the limit of infinite reaction rate. We obtain a…
Diffusion-limited annihilation in inhomogeneous environments
G. M. Schütz
We study diffusion-limited (on-site) pair annihilation and (on-site) fusion which we show to be equivalent for arbitrary space-dependent diffusion and reactio…
EQUIVALENCES BETWEEN STOCHASTIC SYSTEMS
Malte Henkel, Enzo Orlandini, Gunter M. Schütz
Time-dependent correlation functions of (unstable) particles undergoing biased or unbiased diffusion, coagulation and annihilation are calculated. This is achieved by similarity tr…
SCHRÖDINGER INVARIANCE IN DISCRETE STOCHASTIC SYSTEMS
Malte Henkel, Gunter Schütz
Local scale invariance for lattice models is studied using new realizations of the Schrödinger algebra. The two-point function is calculated and it turns out that the result can be…
Non-equilibrium Dynamics of Finite Interfaces
D. B. Abraham, T. J. Newman, G. M. Schütz
We present an exact solution to an interface model representing the dynamics of a domain wall in a two-phase Ising system. The model is microscopically motivated, yet we find that…
Boundary-Induced Phase Transitions in Equilibrium and Non-Equilibrium Systems
Malte Henkel, Gunter Schütz
Boundary conditions may change the phase diagram of non-equilibrium statistical systems like the one-dimensional asymmetric simple exclusion process with and without particle numbe…
On U_q(SU(2))-symmetric Driven Diffusion
Sven Sandow, Gunter Schuetz
We study analytically a model where particles with a hard-core repulsion diffuse on a finite one-dimensional lattice with space-dependent, asymmetric hopping rates. The system dyna…
Phase transitions in an exactly soluble one-dimensional exclusion process
G. Schuetz, E. Domany
We consider an exclusion process, with particles injected with rate at the origin and removed with rate at the right boundary of a one-dimensional chain of sites. The parti…