275 citations · 816 across the 47 of their papers we have counts for
30 papers · 1 filter
Lagrangian approach and dissipative magnetic systems
Thomas Bose, Steffen Trimper
A Lagrangian is introduced which includes the coupling between magnetic moments and the degrees of freedom of a reservoir. In case the system-reservoir…
Modified Jarzynski Relation for non-Markovian noise
Michael Schulz, Steffen Trimper
We demonstrate the conventional Jarzynski relation (JR) is violated for a non-Markovian process with colored noise. As an example an exactly soluble model is considered with a simp…
Exact solution of a stochastic SIR model
Gunter M. Schütz, Marian Brandau, Steffen Trimper
The susceptible-infectious-recovered (SIR) model describes the evolution of three species of individuals which are subject to an infection and recovery mechanism. A susceptible …
Thermally Assisted Spin Hall Effect
Michael Schulz, Steffen Trimper
The spin polarized charge transport is systematically analyzed as a thermally driven stochastic process. The approach is based on Kramers' equation describing the semiclassical mot…
Exact expression for Drude conductivity in one-dimension with an arbitrary potential
Michael Schulz, Steffen Trimper
An exact expression for the Drude conductivity in one dimension is derived under the presence of an arbitrary potential. In getting the conductivity the influence of the electric f…
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…
Size and doping effects on the coercive field of ferroelectric nanoparticles
Th. Michael, S. Trimper, J. M. Wesselinowa
A microscopic model for describing ferroelectric nanoparticles is proposed which allows us to calculate the polarization as a function of an external electric field, the temperatur…
Master Equation and Two Heat Reservoirs
Steffen Trimper
We analyze a simple spin-flip process under the presence of two heat reservoirs. While one flip process is triggered by a bath at temperature , the inverse process is activated…
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…
On the Glauber model in a quantum representation
Thomas Michael, Steffen Trimper, Michael Schulz
The Glauber model is reconsidered based on a quantum formulation of the Master equation. Unlike the conventional approach the temperature and the Ising energy are included from the…
Influence of layer defects on the damping in ferroelectric thin films
J. M. Wesselinowa, T. Michael, S. Trimper +1
A Green's function technique for a modified Ising model in a transverse field is applied, which allows to calculate the damping of the elementary excitations and the phase transiti…
Critical aging of a ferromagnetic system from a completely ordered state
Andrei A. Fedorenko, Steffen Trimper
We adapt the non-linear model to study the nonequilibrium critical dynamics of O(n) symmetric ferromagnetic system. Using the renormalization group analysis in dimensio…
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(…
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…
Delay-Controlled Reactions
Steffen Trimper, Knud Zabrocki
When the entities undergoing a chemical reaction are not available simultaneously, the classical rate equation of a reaction or, alternatively for the evolution of a population, sh…
Weighted Scale-Free Networks with Stochastic Weight Assignments
Dafang Zheng, Steffen Trimper, Bo Zheng +1
We propose and study a model of weighted scale-free networks incorporating a stochastic scheme for weight assignments to the links, taking into account both the popularity and fitn…
Two harmonically coupled Brownian particles in random media
M. Schulz, S. Stepanow, S. Trimper
We study the behaviour of two Brownian particles coupled by an elastic harmonic force in a quenched disordered medium. We found that to first order in disorder strength, the relati…
Phase Ordering Dynamics of Theory with Hamiltonian Equations of Motion
B. Zheng, V. Linke, S. Trimper
Phase ordering dynamics of the (2+1)- and (3+1)-dimensional theory with Hamiltonian equations of motion is investigated numerically. Dynamic scaling is confirmed. The dynamic…
Corrections to Scaling for the Two-dimensional Dynamic XY Model
H. P. Ying, B. Zheng, Y. Yu +1
With large-scale Monte Carlo simulations, we confirm that for the two-dimensional XY model, there is a logarithmic correction to scaling in the dynamic relaxation starting from a c…
Collective Diffusion and a Random Energy Landscape
Michael Schulz, Steffen Trimper
Starting from a master equation in a quantum Hamiltonian form and a coupling to a heat bath we derive an evolution equation for a collective hopping process under the influence of…
Reaction-controlled diffusion
S. Trimper, U. C. Taeuber, G. M. Schuetz
The dynamics of a coupled two-component nonequilibrium system is examined by means of continuum field theory representing the corresponding master equation. Particles of species A…