110 citations · 488 across the 17 of their papers we have counts for
4 papers · 1 filter
Boundary singularities and boundary conditions for the Fokker-Planck equations
Ihor Lubashevsky, Rudolf Friedrich, Reinhard Mahnke +2
The boundary conditions for the Fokker-Planck equations, forward and backward ones are directly derived from the Chapman-Kolmogorov equation for M-dimensional region with boundarie…
Application of thermodynamics to driven systems
R. Mahnke, J. Kaupuzs, J. Hinkel +1
Application of thermodynamics to driven systems is discussed. As particular examples, simple traffic flow models are considered. On a microscopic level, traffic flow is described b…
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…
Outflow probability for drift--diffusion dynamics
Julia Hinkel, Reinhard Mahnke
The presented explanations are provided for the one--dimensional diffusion process with constant drift by using forward Fokker--Planck technique. We are interested in the outflow p…