110 citations · 488 across the 17 of their papers we have counts for
17 papers
How to solve Fokker-Planck equation treating mixed eigenvalue spectrum?
M. Brics, J. Kaupuzs, R. Mahnke
An analogy of the Fokker-Planck equation (FPE) with the Schrödinger equation allows us to use quantum mechanics technique to find the analytical solution of the FPE in a number of…
Living Tissue Self-Regulation as a Self-Organization Phenomenon
Wassily Lubashevsky, Ihor Lubashevsky, Reinhard Mahnke
Self-regulation of living tissue as an example of self-organization phenomena in hierarchical systems of biological, ecological, and social nature is under consideration. The chara…
Distributed self-regulation of living tissue. Effects of nonideality
Wassily Lubashevsky, Ihor Lubashevsky, Reinhard Mahnke
Self-regulation of living tissue as an example of self-organization phenomena in active fractal systems of biological, ecological, and social nature is under consideration. The cha…
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…