@misc{BestehornBestehornMichelitschetal., author = {Bestehorn, Michael and Bestehorn, Michael and Michelitsch, Thomas M. and Collet, Bernard A. and Riascos, Alejandro P. and Nowakowski, Andrzej. F.}, title = {Simple model of epidemic dynamics with memory effects}, series = {Physical Review E}, volume = {105}, journal = {Physical Review E}, number = {2}, issn = {2470-0045}, doi = {10.1103/PhysRevE.105.024205}, pages = {024205-1 -- 024205-10}, abstract = {We introduce a compartment model with memory for the dynamics of epidemic spreading in a constant population of individuals. Each individual is in one of the states S=susceptible, I=infected, or R=recovered (SIR model). In state R an individual is assumed to stay immune within a finite-time interval. In the first part, we introduce a random lifetime or duration of immunity which is drawn from a certain probability density function. Once the time of immunity is elapsed an individual makes an instantaneous transition to the susceptible state. By introducing a random duration of immunity a memory effect is introduced into the process which crucially determines the epidemic dynamics. In the second part, we investigate the influence of the memory effect on the space-time dynamics of the epidemic spreading by implementing this approach into computer simulations and employ a multiple random walker's model. If a susceptible walker meets an infectious one on the same site, then the susceptible one gets infected with a certain probability. The computer experiments allow us to identify relevant parameters for spread or extinction of an epidemic. In both parts, the finite duration of immunity causes persistent oscillations in the number of infected individuals with ongoing epidemic activity preventing the system from relaxation to a steady state solution. Such oscillatory behavior is supported by real-life observations and not captured by the classical standard SIR model.}, language = {en} } @misc{VarlamovaReifStolzetal., author = {Varlamova, Olga and Reif, J{\"u}rgen and Stolz, Michael and Borcia, Rodica and Borcia, Ion-Dan and Bestehorn, Michael}, title = {Wetting properties of LIPSS structured silicon surfaces}, series = {The European Physical Journal B}, volume = {92}, journal = {The European Physical Journal B}, number = {5}, issn = {1434-6036}, doi = {10.1140/epjb/e2019-90672-2}, pages = {8}, abstract = {The controlled dynamics of liquid drops via generation of specific wetting states on a solid surface is of great interests both in the fundamental and applied sciences. Considering that the wettability is strongly dependent on the surface topography and surface roughness, we investigate - through experiments and theory - the effect of laser-induced periodic surface structures (LIPSS) generated on silicon (100) targets as a control parameter of wetting properties. To obtain structured silicon surfaces with different morphological features, we patterned the surface by irradiation with femtosecond pulses from an amplified Ti:Sapphire laser system (790 nm/100 fs/1 kHz) at a fluence in the range of 0.4-1.2 J/cm2 on a spot with a diameter about of 100 μm. Variation of the applied irradiation dose results in surface modifications with the roughness about of a few tens of nanometers are ranging from regular LIPSS patterns with the lateral period of about 500-700 nm to complex agglomerations of 3-D microstructures with several-μm feature size. The theoretical study on the correlation of wetting properties with the surface topography has been performed within a phase field model. We found an excellent agreement of numerical results with experiments.}, language = {en} } @article{BestehornNeuffer, author = {Bestehorn, Michael and Neuffer, Kai}, title = {Surface Patterns of Laterally Extended Thin Liquid Films in Three Dimensions}, series = {Physical review letters}, volume = {87}, journal = {Physical review letters}, number = {4}, issn = {1079-7114}, pages = {046101}, language = {en} } @article{BestehornMerktEnculescu, author = {Bestehorn, Michael and Merkt, Domnic and Enculescu, Mihaela}, title = {Entstehung und Dynamik makroskopischer Strukturen in Systemen fern vom Gleichgewicht}, series = {Forum der Forschung}, volume = {9}, journal = {Forum der Forschung}, number = {18}, issn = {0947-6989}, pages = {31 -- 40}, language = {de} } @misc{VarlamovaCostacheReifetal., author = {Varlamova, Olga and Costache, Florenta Adriana and Reif, J{\"u}rgen and Bestehorn, Michael}, title = {Self-organized pattern formation upon femtosecond laser ablation by circularly polarized light}, series = {Applied Surface Science}, volume = {252}, journal = {Applied Surface Science}, number = {13}, issn = {0169-4332}, pages = {4702 -- 4706}, language = {en} } @incollection{BestehornHaken, author = {Bestehorn, Michael and Haken, H.}, title = {Pattern Formation and Transients in the Convection Instability}, language = {en} } @incollection{BestehornFriedrichHaken, author = {Bestehorn, Michael and Friedrich, R. and Haken, H.}, title = {Modulated Traveling Waves in Nonequilibrium Systems}, language = {en} } @article{Bestehorn, author = {Bestehorn, Michael}, title = {Stationary and Traveling Pulses of the 2D Complex Ginzburg-Landau Equation}, language = {en} } @article{BestehornFantzFriedrichetal., author = {Bestehorn, Michael and Fantz, M. and Friedrich, R. and Haken, H. and P{\´e}rez-Garc{\´i}a, C.}, title = {Spiral Patterns in Thermal Convection}, language = {en} } @article{BestehornFantzFriedrichetal., author = {Bestehorn, Michael and Fantz, M. and Friedrich, R. and Haken, H.}, title = {Pattern formation in rotating B{\´e}nard convection}, language = {en} } @article{BestehornPerezGarcia, author = {Bestehorn, Michael and P{\´e}rez-Garc{\´i}a, C.}, title = {Coexistence of Patterns with Different Symmetries in B{\´e}nard-Marangoni Convection}, language = {en} }