33 citations · 81 across the 8 of their papers we have counts for
6 papers · 1 filter
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…
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…
Zero range model of traffic flow
J. Kaupuzs, R. Mahnke, R. J. Harris
A multi--cluster model of traffic flow is studied, in which the motion of cars is described by a stochastic master equation. Assuming that the escape rate from a cluster depends on…
Long-lived states of oscillator chain with dynamical traps
Ihor Lubashevsky, Reinhard Mahnke, Morteza Hajimahmoodzadeh +1
A simple model of oscillator chain with dynamical traps and additive white noise is considered. Its dynamics was studied numerically. As demonstrated, when the trap effect is prono…