19 citations · 46 across the 7 of their papers we have counts for
7 papers
Spatiotemporal Memory in a Diffusion-Reaction System
Michael Schulz, Steffen Trimper, Knud Zabrocki
We consider a reaction-diffusion process with retardation. The particles, immersed in traps initially, remain inactive until another particle is annihilated spontaneously with a ra…
Relationship between a Non-Markovian Process and Fokker-Planck Equation
Knud Zabrocki, Steffen Trimper, Svetlana Tatur +1
We demonstrate the equivalence of a Non--Markovian evolution equation with a linear memory--coupling and a Fokker--Planck equation (FPE). In case the feedback term offers a direct…
Impact of layer defects in ferroelectric thin films
J. M. Wesselinowa, S. Trimper, K. Zabrocki
Based on a modified Ising model in a transverse field we demonstrate that defect layers in ferroelectric thin films, such as layers with impurities, vacancies or dislocations, are…
Memory Driven Pattern Formation
Steffen Trimper, Knud Zabrocki
The diffusion equation is extended by including spatial-temporal memory in such a manner that the conservation of the concentration is maintained. The additional memory term gives…
Memory-Controlled Diffusion
Steffen Trimper, Knud Zabrocki, Michael Schulz
Memory effects require for their incorporation into random-walk models an extension of the conventional equations. The linear Fokker-Planck equation for the probability density $p(…
Memory-Controlled Annihilation Reactions
Steffen Trimper, Knud Zabrocki, Michael Schulz
We consider a diffusion-limited reaction in case the reacting entities are not available simultaneously. Due to the fact that the reaction takes place after a spatiotemporal accumu…