79 citations · 211 across the 7 of their papers we have counts for
7 papers
Microscopic structure of travelling wave solutions in a class of stochastic interacting particle systems
K. Krebs, F. H. Jafarpour, G. M. Schütz
We obtain exact travelling wave solutions for three families of stochastic one-dimensional nonequilibrium lattice models with open boundaries. These solutions describe the diffusiv…
On Matrix Product States for Periodic Boundary Conditions
Klaus Krebs
The possibility of a matrix product representation for eigenstates with energy and momentum zero of a general m-state quantum spin Hamiltonian with nearest neighbour interaction an…
Matrix Product Eigenstates for One-Dimensional Stochastic Models and Quantum Spin Chains
Klaus Krebs, Sven Sandow
We show that all zero energy eigenstates of an arbitrary --state quantum spin chain Hamiltonian with nearest neighbor interaction in the bulk and single site boundary terms, whi…
Solution of a One-Dimensional Reaction-Diffusion Model with Spatial Asymmetry
Haye Hinrichsen, Klaus Krebs, Ingo Peschel
We study classical particles on the sites of an open chain which diffuse, coagulate and decoagulate preferentially in one direction. The master equation is expressed in terms of a…
Finite-Size Scaling Studies of Reaction-Diffusion Systems, Part I: Periodic Boundary Conditions
Klaus Krebs, Markus Pfannmueller, Birgit Wehefritz
The finite-size scaling function and the leading corrections for the single species 1D coagulation model and the annihilation model $(A + A \rightarrow \emp…
Finite-Size Scaling Studies of Reaction-Diffusion Systems Part III: Numerical Methods
Klaus Krebs, Markus Pfannmueller, Horatiu Simon +1
The scaling exponent and scaling function for the 1D single species coagulation model are shown to be universal, i.e. they are not influenced by the value of t…
Finite-Size-Scaling Studies of Reaction-Diffusion Systems Part II: Open Boundary Conditions
Haye Hinrichsen, Klaus Krebs, Markus Pfannmueller +1
We consider the coagulation-decoagulation model on an one-dimensional lattice of length with open boundary conditions. Based on the empty interval approach the time evolution i…