275 citations · 816 across the 47 of their papers we have counts for
5 papers · 1 filter
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…
Elephants can always remember: Exact long-range memory effects in a non-Markovian random walk
Gunter M. Schütz, Steffen Trimper
We consider a discrete-time random walk where the random increment at time step depends on the full history of the process. We calculate exactly the mean and variance of the po…
Spin facilitated Ising model with long range interaction
Beatrix M. Schulz, Steffen Trimper, Michael Schulz
We study the dynamics of a spin facilitated Ising model with long range kinetic constraints. To formulate those restrictions within an analytical approach we introduce the size of…
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(…