18 citations · 44 across the 7 of their papers we have counts for
7 papers
The parallel TASEP, fixed particle number and weighted Motzkin paths
Marko Woelki
In this paper the totally asymmetric exclusion process (TASEP) with parallel update on an open lattice of size is considered in the maximum-current region. A formal expression…
Density-feedback control in traffic and transport far from equilibrium
Marko Woelki
A bottleneck situation in one-lane traffic-flow is typically modelled with a constant demand of entering cars. However, in practice this demand may depend on the density of cars in…
Decoherence-induced conductivity in the discrete 1D Anderson model: A novel approach to even-order generalized Lyapunov exponents
Matías Zilly, Orsolya Ujsághy, Marko Woelki +1
A recently proposed statistical model for the effects of decoherence on electron transport manifests a decoherence-driven transition from quantum-coherent localized to ohmic behavi…
Phase transitions in cellular automata for cargo transport and kinetically constrained traffic
Marko Woelki
A probabilistic cellular automaton for cargo transport is presented that generalizes the totally asymmetric exclusion process with a defect from continuous time to parallel dynamic…
Transfer matrices for the totally asymmetric exclusion process
Marko Woelki, Kirone Mallick
We consider the totally asymmetric simple exclusion process (TASEP) on a finite lattice with open boundaries. We show, using the recursive structure of the Markov matrix that encod…
Exact matrix-product states for parallel dynamics: Open boundaries and excess mass on the ring
Marko Woelki, Michael Schreckenberg
In this paper it is shown that the steady-state weights of the asymmetric simple exclusion process (ASEP) with open boundaries and parallel update can be written as a product of a…
Headway oscillations and phase transitions for diffusing particles with increased velocity
Marko Woelki, Michael Schreckenberg
An asymmetric exclusion process with particles on sites is considered where particles can move one or two sites per infinitesimal time-step. An exact analysis for N=2 and a…