79 citations · 419 across the 19 of their papers we have counts for
19 papers
Collective variables for homophily-driven network rewiring dynamics
Sören Nagel, Stefanie Winkelmann, Péter Koltai +2
Stochastic network rewiring processes, in which edges dynamically rewire based on fixed node attributes, are widely used in applications ranging from social dynamics to neuroscienc…
Accurate mean-field equation for voter model dynamics on scale-free networks
Marvin Lücke, Stefanie Winkelmann, Péter Koltai
Understanding the emergent macroscopic behavior of dynamical systems on networks is a crucial but challenging task. One of the simplest and most effective methods to construct a re…
Efficient time stepping for numerical integration using reinforcement learning
Michael Dellnitz, Eyke Hüllermeier, Marvin Lücke +4
Many problems in science and engineering require an efficient numerical approximation of integrals or solutions to differential equations. For systems with rapidly changing dynamic…
End-wall effects on the transition between Taylor vortices and spiral vortices
S. Altmeyer, Ch. Hoffmann, M. Heise +3
We present numerical simulations as well as experimental results concerning transitions between Taylor vortices and spiral vortices in the Taylor-Couette system with rigid, non-rot…
Roll and square convection in binary liquids: a few--mode Galerkin model
S. Weggler, B. Huke, M. Luecke
We present a few--mode Galerkin model for convection in binary fluid layers subject to an approximation to realistic horizontal boundary conditions at positive separation ratios. T…
Roll convection of binary fluid mixtures in porous media
Rudolf Umla, Matthias Augustin, Bjoern Huke +1
We investigate theoretically the nonlinear state of ideal straight rolls in the Rayleigh-Bénard system of a fluid layer heated from below with a porous medium using a Galerkin meth…
Localized Waves without the Existence of Extended Waves: Oscillatory Convection of Binary Mixtures with Strong Soret Effect
D. Jung, M. Luecke
Spatially confined solutions of traveling convection rolls are determined numerically for binary mixtures like ethanol-water. The appropriate field equations are solved in a vertic…
Magnetization of ferrofluids with dipolar interactions - a Born--Mayer expansion
B. Huke, M. Lücke
For ferrofluids that are described by a system of hard spheres interacting via dipolar forces we evaluate the magnetization as a function of the internal magnetic field with a Born…
Stability boundaries of roll and square convection in binary fluid mixtures with positive separation ratio
B. Huke, M. Lücke, P. Büchel +1
Rayleigh-Bénard convection in horizontal layers of binary fluid mixtures heated from below with realistic horizontal boundary conditions is studied theoretically using multi-mode G…
Thermoconvection in magnetized ferrofluids: the influence of boundaries with finite heat conductivity
A. Recktenwald, M. Luecke
Realistic boundaries of finite heat conductivity Realistic boundaries of finite heat conductivity for thermoconvection in a Rayleigh-Bénard setup with magnetized ferrofluids are in…
Model for convection in binary liquids
St. Hollinger, M. Luecke, H. W. Mueller
A minimal, analytically manageable Galerkin type model for convection in binary mixtures subject to realistic boundary conditions is presented. The model elucidates and reproduces…
Influence of the Soret effect on convection of binary fluids
St. Hollinger, M. Luecke
Convection in horizontal layers of binary fluids heated from below and in particular the influence of the Soret effect on the bifurcation properties of extended stationary and trav…
Noise sustained pattern growth: Bulk versus boundary effects
M. Luecke, A. Szprynger
The effect of thermally generated bulk stochastic forces on the statistical growth dynamics of forwards bifurcating propagating macroscopic patterns is compared with the influence…
Strongly nonlinear convection in binary fluids: Minimal model for extended states using symmetry decomposed modes
St. Hollinger, M. Luecke
Spatially extended stationary and traveling states in the strongly nonlinear regime of convection in layers of binary fluid mixtures heated from below are described by a few-mode-m…
Bistability of Slow and Fast Traveling Waves in Fluid Mixtures
St. Hollinger, P. Buechel, M. Luecke
The appearence of a new type of fast nonlinear traveling wave states in binary fluid convection with increasing Soret effect is elucidated and the parameter range of their bistabil…
Influence of boundaries on pattern selection in through-flow
D. Roth, P. Buechel, M. Luecke +3
The problem of pattern selection in absolutely unstable open flow systems is investigated by considering the example of Rayleigh-Bénard convection. The spatiotemporal structure of…
Influence of through-flow on linear pattern formation properties in binary mixture convection
Ch. Jung, M. Luecke, P. Buechel
We investigate how a horizontal plane Poiseuille shear flow changes linear convection properties in binary fluid layers heated from below. The full linear field equations are solve…
Pattern selection as a nonlinear eigenvalue problem
P. Buechel, M. Luecke
A unique pattern selection in the absolutely unstable regime of driven, nonlinear, open-flow systems is reviewed. It has recently been found in numerical simulations of propagating…
Pattern selection in the absolutely unstable regime as a nonlinear eigenvalue problem: Taylor vortices in axial flow
P. Buechel, M. Luecke, D. Roth +1
A unique pattern selection in the absolutely unstable regime of a driven, nonlinear, open-flow system is analyzed: The spatiotemporal structures of rotationally symmetric vortices…