@misc{BorciaBestehorn, author = {Borcia, Rodica and Bestehorn, Michael}, title = {Controlled Pattern Formation in Thin Liquid Layers}, language = {en} } @misc{BorciaBestehorn, author = {Borcia, Rodica and Bestehorn, Michael}, title = {A Phase Field Description of Spatio-Temporal Behavior in Thin Liquid Layers}, language = {en} } @article{BestehornHaken, author = {Bestehorn, Michael and Haken, H.}, title = {A Calculation of Transient Solutions Describing Roll and Hexagon Formation in the Convection Instability}, language = {en} } @article{BestehornHaken, author = {Bestehorn, Michael and Haken, H.}, title = {Transient Patterns of the Convection Instability: A Model Calculation}, language = {en} } @article{BestehornFriedrichHaken, author = {Bestehorn, Michael and Friedrich, R. and Haken, H.}, title = {The Oscillatory Instability of a Spatially Homogeneous State in Large Aspect Systems of Fluid Dynamics}, language = {en} } @article{BestehornFriedrichHaken, author = {Bestehorn, Michael and Friedrich, R. and Haken, H.}, title = {Two-dimensional Traveling Wave Patterns in Nonequilibrium Systems}, language = {en} } @article{BestehornFriedrichHaken, author = {Bestehorn, Michael and Friedrich, R. and Haken, H.}, title = {Traveling Waves in Nonequilibrium Systems}, language = {en} } @article{BestehornFriedrichHaken, author = {Bestehorn, Michael and Friedrich, R. and Haken, H.}, title = {Modulated Traveling Waves in Nonequilibrium Systems: The Blinking State}, language = {en} } @misc{PototskyArcherBestehornetal., author = {Pototsky, Andrey and Archer, Andrew J. and Bestehorn, Michael and Merkt, Domnic and Savelev, S. and Marchesoni, F.}, title = {Collective shuttling of attracting particles in asymmetric narrow channels}, language = {en} } @misc{BestehornTyvand, author = {Bestehorn, Michael and Tyvand, Peder A.}, title = {Merging and colliding bores}, language = {en} } @misc{TyvandBestehorn, author = {Tyvand, Peder A. and Bestehorn, Michael}, title = {Diffraction of Poincare waves by a change in ocean depth}, language = {en} } @article{FriedrichBestehornHaken, author = {Friedrich, R. and Bestehorn, Michael and Haken, H.}, title = {Pattern Formation in Convective Instabilities}, language = {en} } @article{BestehornHaken, author = {Bestehorn, Michael and Haken, H.}, title = {Traveling Waves and Pulses in a Two-Dimensional Large-Aspect-Ratio System}, series = {Physical Review A}, volume = {42}, journal = {Physical Review A}, number = {12}, issn = {0556-2791}, pages = {7195 -- 7203}, language = {en} } @article{BestehornHaken, author = {Bestehorn, Michael and Haken, H.}, title = {Associative Memory of a Dynamical System: The Example of the Convection Instability}, series = {Zeitschrift f{\"u}r Physik B}, volume = {82}, journal = {Zeitschrift f{\"u}r Physik B}, number = {2}, issn = {1431-584}, pages = {305 -- 308}, language = {en} } @article{BestehornPerezGarcia, author = {Bestehorn, Michael and P{\´e}rez-Garc{\´i}a, C.}, title = {Study of a Model of Thermal Convection in Cylindrical Containers}, language = {en} } @article{MillanRodriguezBestehornPerezGarciaetal., author = {Mill{\´a}n-Rodriguez, J. and Bestehorn, Michael and P{\´e}rez-Garc{\´i}a, C. and Neufeld, M. and Friedrich, R.}, title = {Motion of Defects in Rotating Fluids}, language = {en} } @article{BestehornNeufeldFriedrichetal., author = {Bestehorn, Michael and Neufeld, M. and Friedrich, R. and Haken, H.}, title = {Comment on Spiral pattern formation in Rayleigh-B{\´e}nard Convection}, language = {en} } @article{BorciaBestehorn, author = {Borcia, Rodica and Bestehorn, Michael}, title = {Phase-field model for Marangoni convection in liquid-gas systems with deformable interface}, language = {en} } @article{PototskyBestehornMerktetal., author = {Pototsky, Andrey and Bestehorn, Michael and Merkt, Domnic and Thiele, Uwe}, title = {Alternative pathways of dewetting for a thin two-layer film of soft matter}, doi = {10.48550/arXiv.nlin/0401042}, language = {en} } @article{MerktPototskyBestehornetal., author = {Merkt, Domnic and Pototsky, Andrey and Bestehorn, Michael and Thiele, Uwe}, title = {Long-wave theory of bounded two-layer films with a free liquid-liquid interface: Short and long-time evolution}, doi = {10.1063/1.1935487}, language = {en} } @article{PototskyBestehornMerktetal., author = {Pototsky, Andrey and Bestehorn, Michael and Merkt, Domnic and Thiele, Uwe}, title = {Evolution of interface patterns of three-dimensional two-layer liquid films}, series = {Europhysics Letters}, volume = {74}, journal = {Europhysics Letters}, number = {4}, issn = {0302-072X}, doi = {10.1209/epl/i2006-10026-8}, pages = {665 -- 671}, language = {en} } @article{BestehornMerkt, author = {Bestehorn, Michael and Merkt, Domnic}, title = {Regular surface patterns on Rayleigh-Taylor unstable evaporating films heated from below}, language = {en} } @article{BorciaBorciaBestehorn, author = {Borcia, Ion-Dan and Borcia, Rodica and Bestehorn, Michael}, title = {Long wave instabilities in binary mixture thin liquid films}, language = {en} } @article{BorciaBorciaBestehorn, author = {Borcia, Ion-Dan and Borcia, Rodica and Bestehorn, Michael}, title = {Soret effect in thin liquid films:Localized running drops, holes and stripes}, language = {en} } @misc{BestehornBorcia, author = {Bestehorn, Michael and Borcia, Ion-Dan}, title = {Thin film lubrication dynamics of a binarymixture}, language = {en} } @article{EnculescuBestehorn, author = {Enculescu, Mihaela and Bestehorn, Michael}, title = {Activity dynamics in non - localinteracting neural fields}, language = {en} } @article{HuttBestehornWennekers, author = {Hutt, A. and Bestehorn, Michael and Wennekers, T.}, title = {Pattern Formation in Intracortical Neuronal Fields}, language = {en} } @article{PenaPerezGarciaBestehorn, author = {Pena, B. and P{\´e}rez-Garc{\´i}a, C. and Bestehorn, Michael}, title = {Modulated standing waves resulting from a Hopf-wave interaction in a chemical model}, language = {en} } @article{EnculescuBestehorn, author = {Enculescu, Mihaela and Bestehorn, Michael}, title = {Liapunov functional for a delayedintegro-differential equation model of a neural field}, language = {en} } @article{PenaBestehorn, author = {Pena, B. and Bestehorn, Michael}, title = {Two-dimensional wave patterns near a Hopf-wave interaction in a chemical model}, language = {en} } @article{EnculescuBestehorn, author = {Enculescu, Mihaela and Bestehorn, Michael}, title = {Mechanisms for activity spread in a neural field model}, language = {en} } @misc{BorciaBestehorn, author = {Borcia, Rodica and Bestehorn, Michael}, title = {On the coalescence of sessile drops with miscible liquids}, series = {European Physical Journal E}, volume = {34}, journal = {European Physical Journal E}, number = {8}, issn = {1292-8941}, pages = {81}, language = {en} } @misc{BorciaMenzelBestehornetal., author = {Borcia, Rodica and Menzel, Stefan and Bestehorn, Michael and Karpitschka, Stefan and Riegler, Horst}, title = {Delayed coalescence of droplets with miscible liquids: Lubrication and phasefield theories}, series = {European Physical Journal E}, volume = {34}, journal = {European Physical Journal E}, number = {3}, issn = {1292-8941}, pages = {11024-9}, language = {en} } @misc{ReifVarlamovaVarlamovetal., author = {Reif, J{\"u}rgen and Varlamova, Olga and Varlamov, Sergej and Bestehorn, Michael}, title = {The role of asymmetric excitation in self-organized nanostructure formation upon femtosecond laser ablation}, series = {Applied Physics / A}, volume = {104}, journal = {Applied Physics / A}, number = {3}, issn = {1432-0630}, pages = {969 -- 973}, language = {en} } @misc{VarlamovaReifVarlamovetal., author = {Varlamova, Olga and Reif, J{\"u}rgen and Varlamov, Sergej and Bestehorn, Michael}, title = {The laser polarization as control parameter in the formation of laser-induced periodic surface structures: Comparison of numerical and experimental results}, series = {Applied Surface Science}, volume = {257}, journal = {Applied Surface Science}, number = {12}, issn = {0169-4332}, pages = {5465 -- 5469}, language = {en} } @misc{BorciaBestehorn, author = {Borcia, Rodica and Bestehorn, Michael}, title = {Numerical simulations on delayed coalescence of droplets in confinedgeometries}, language = {en} } @misc{BorciaBestehorn, author = {Borcia, Ion-Dan and Bestehorn, Michael}, title = {Simulation of pattern morphology in binary liquid mixtures}, language = {en} } @inproceedings{BorciaBestehornEgbers, author = {Borcia, Rodica and Bestehorn, Michael and Egbers, Christoph}, title = {Surface effects at the mixing of two perfectly miscible components in a thin liquid film}, series = {International Topical Team Workshop on Two-Phase Systems for Ground and Space Applications, ITTW 2013}, booktitle = {International Topical Team Workshop on Two-Phase Systems for Ground and Space Applications, ITTW 2013}, language = {en} } @inproceedings{BorciaBorciaBestehornetal., author = {Borcia, Ion-Dan and Borcia, Rodica and Bestehorn, Michael and Egbers, Christoph}, title = {Drops on cylindrical wires}, series = {International Topical Team Workshop on Two-Phase Systems for Ground and Space Applications, ITTW 2013}, booktitle = {International Topical Team Workshop on Two-Phase Systems for Ground and Space Applications, ITTW 2013}, language = {en} } @inproceedings{BorciaBorciaBestehornetal., author = {Borcia, Ion-Dan and Borcia, Rodica and Bestehorn, Michael and Borcia, C. and Dumitrascu, N. and Egbers, Christoph}, title = {Drops on cylindrical surfaces}, series = {7th Conference of the International Marangoni Association, Vienna (Austria), June 23-26, 2014}, booktitle = {7th Conference of the International Marangoni Association, Vienna (Austria), June 23-26, 2014}, publisher = {Techn. Univ.}, address = {Vienna}, pages = {S. 33}, language = {en} } @inproceedings{ReifVarlamovaVarlamovetal., author = {Reif, J{\"u}rgen and Varlamova, Olga and Varlamov, Sergej and Bestehorn, Michael}, title = {The role of asymmetric excitation in self-organized nanostructure formation upon femtosecondlaser ablation}, series = {International Symposium on High Power Laser Ablation 2012, Santa Fe, New Mexico, USA, 30 April - 3 May 2012}, booktitle = {International Symposium on High Power Laser Ablation 2012, Santa Fe, New Mexico, USA, 30 April - 3 May 2012}, editor = {Phipps, Claude R.}, publisher = {American Institute of Physics}, address = {Melville, NY}, isbn = {978-0-7354-1068-8}, pages = {428 -- 441}, language = {en} } @misc{VarlamovaReifVarlamovetal., author = {Varlamova, Olga and Reif, J{\"u}rgen and Varlamov, Sergej and Bestehorn, Michael}, title = {Modeling of the Laser Polarization as Control Parameter in Self-Organized Surface Pattern}, series = {Journal of Nanoscience and Nanotechnology}, volume = {11}, journal = {Journal of Nanoscience and Nanotechnology}, number = {10}, issn = {1533-4880}, pages = {9274 -- 9281}, language = {en} } @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 circular polarized light}, series = {Applied Surface Science}, volume = {252}, journal = {Applied Surface Science}, number = {13}, issn = {0169-4332}, pages = {4702 -- 4706}, language = {en} } @inproceedings{ReifCostacheEckertetal., author = {Reif, J{\"u}rgen and Costache, Florenta Adriana and Eckert, Sebastian and Kouteva-Arguirova, Simona and Bestehorn, Michael and Georgescu, Ionut and Semorek, A. F. and Martin, P. and Gobert, O. and Seifert, Winfried}, title = {Formation of self-organized regular nanostructures upon femtosecond laser ablation}, series = {Fifth International Symposium on Laser Precision Microfabrication, 11 - 14 May, 2004, Nara, Japan}, booktitle = {Fifth International Symposium on Laser Precision Microfabrication, 11 - 14 May, 2004, Nara, Japan}, publisher = {SPIE}, address = {Bellingham, Wash.}, isbn = {0-8194-5623-3}, pages = {S. 737}, language = {en} } @incollection{VarlamovaReifVarlamovetal., author = {Varlamova, Olga and Reif, J{\"u}rgen and Varlamov, Sergej and Bestehorn, Michael}, title = {Self-organized Surface Patterns Originatin from Laser-Induced Instability}, series = {Progress in nonlinear nano-optics}, booktitle = {Progress in nonlinear nano-optics}, editor = {Sakabe, Shuji and Lienau, Christoph and Grunwald, R{\"u}diger}, publisher = {Springer}, address = {Cham [u.a.]}, isbn = {978-3-319-12216-8}, pages = {3 -- 29}, language = {en} } @misc{ChengBestehornFiroozabadi, author = {Cheng, Philip and Bestehorn, Michael and Firoozabadi, Abbas}, title = {Effect of permeability anisotropy on density-driven flow for CO2 sequestration in saline aquifers}, series = {Water Resources Research}, volume = {48}, journal = {Water Resources Research}, number = {9}, issn = {1944-7973}, doi = {10.1029/2012WR011939}, pages = {W09539}, abstract = {Solubility trapping of carbon dioxide (CO2) in deep saline aquifers is considered one of the most effective methods for carbon sequestration. Dissolution of CO2 into the brine may create gravitational instabilities that lead to the onset of convection, which greatly enhances the storage efficiency and reduces the possibilities of leakage. Convection appears in the form of downward traveling fingers of relatively dense, CO2-dissolved fluid. Many natural aquifer formations display considerable permeability anisotropy, where the horizontal permeability kh may be several times greater than the vertical permeability kz. It has been previously found that increasing kh for a fixed kz reduces the critical time tc at which onset occurs and the critical wavelength λc with which the fingers initially form. We extend earlier work by showing how and why this occurs. Our results reveal new insights about λc. We have studied the behavior for times greater than tc using high-resolution numerical simulations. We show that the enhanced dissolution from convection can become significant much earlier in anisotropic media. Furthermore, the effects of anisotropy may be sustained for a long period of time. Our results suggest that permeability anisotropy can allow a wider range of aquifer formations to be considered for effective sequestration.}, language = {en} } @misc{BestehornFiroozabadi, author = {Bestehorn, Michael and Firoozabadi, Abbas}, title = {Effect of fluctuations on the onset of density-driven convection in porous media}, series = {Physics of Fluids}, volume = {24}, journal = {Physics of Fluids}, number = {11}, issn = {1089-7666}, doi = {10.1063/1.4767467}, pages = {114102}, abstract = {We study the dissolution of CO2 in saline aquifers. The long diffusion times can be accelerated by orders of magnitude from mass transfer that origins from convection.Convection occurs at a critical time via a phase transition from the horizontally homogeneous diffusion state. To start the instability, perturbations that break the horizontal translation symmetry are necessary. We start with the basic equations and the boundary conditions, examine the linearized equations around the diffusive time and z-dependent base state and compare different definitions of the critical time found in the literature. Taking a simple model we show the role of fluctuations for delayed instabilities if the control parameter is slowly swept through the bifurcation point. Apart from the critical time we use a "visible" time where convection is manifested in the vertical CO2 transport. We specify the perturbations with respect to their strength and length scale, and compute the critical times for various cases by numerical integration of the basic equations in two spatial dimensions. Fluctuating concentration at the upper boundary, fluctuating porosity as well fluctuating permeability are studied in detail. For the permeability fluctuation, the compressibility of the fluid becomes important and the velocity field cannot be derived from a stream function. Our work also includes non-isothermal conditions with a prescribed vertical geothermal gradient and space dependent thermal conductivity. Temperature fields for different standard configurations are computed numerically and serve as starting condition for density-driven convection. Based on our work, we conclude that the visible time is much larger than the critical time. The visible time is a strong function of strength and length scale of the perturbations.}, language = {en} } @misc{ReifVarlamovaUhligetal., author = {Reif, J{\"u}rgen and Varlamova, Olga and Uhlig, Sebastian and Varlamov, Sergej and Bestehorn, Michael}, title = {On the physics of self-organized nanostructure formation upon femtosecond laser ablation}, series = {Applied Physics A}, volume = {117}, journal = {Applied Physics A}, number = {1}, issn = {0947-8396}, doi = {10.1007/s00339-014-8339-x}, pages = {179 -- 184}, abstract = {We present new results on femtosecond LIPSS on silicon, fostering the dynamic model of self-organized structure formation. The first set of experiments demonstrates LIPSS formation by irradiation with a femtosecond white light continuum. The ripples are, as usual, perpendicular to the light polarization with a fluence-dependent wavelength between 500 and 700 nm. At higher dose (fluence × number of shots), the LIPSS turn to much coarser structures. The second set of experiments displays the dose dependence of pattern evolution at about threshold fluence. In contrast to the general case of multi-pulse LIPSS, where a strong dependence of the structures on the laser polarization is observed, single-shot exposition of silicon at about the ablation threshold results in a concentric pattern of very regular sub-wavelength ripples following the oval shape of the irradiated spot, without any reference to the laser polarization. When increasing the number of pulses, the usual, typical ripples develop and then coalesce into broader perpendicular structures, interlaced with remnants of the first, finer ripples.}, language = {en} } @misc{Bestehorn, author = {Bestehorn, Michael}, title = {Laterally Extended Thin Liquid Films with inertia Under External Vibrations}, series = {Physics of Fluids}, volume = {25}, journal = {Physics of Fluids}, number = {11}, issn = {1089-7666}, doi = {10.1063/1.4830255}, pages = {114106}, abstract = {We consider thin liquid films on a horizontal, solid, and completely wetting substrate. The substrate is subjected to oscillatory accelerations in the normal direction and/or in the horizontal direction. A linear Floquet analysis shows that the planar film surface loses stability if amplitudes and frequencies of the harmonic oscillations meet certain criteria. Based on the long wave lubrication approximation, we present an integral boundary layer model where the z component is integrated out and the spatial dimension is reduced by one. The linear stability analysis of this model shows good agreement with the exact problem and with the linearized long wave equations. Pattern formation in the nonlinear regime is computed numerically from the long wave model in two and three spatial dimensions. Normal oscillations show the traditional Faraday patterns such as squares and hexagons. Lateral oscillations cause a pattern formation scenario similar to spinodal dewetting, namely coarsening and no rupture. For certain amplitude and frequency ranges, combined lateral and normal oscillations can give rise to one or more traveling drops. Finally, we discuss the control of a drop's motion in the horizontal plane.}, language = {en} } @misc{BestehornHanOron, author = {Bestehorn, Michael and Han, Qi and Oron, Alexander}, title = {Nonlinear Pattern Formation in Thin Liqiud Films Under External Vibrations}, series = {Physical Review E}, volume = {88}, journal = {Physical Review E}, number = {2}, issn = {2470-0053}, doi = {10.1103/PhysRevE.88.023025}, pages = {023025}, abstract = {We study a thin liquid film with a free surface on a planar horizontal substrate. The substrate is subjected to oscillatory accelerations in the normal and/or in the horizontal direction(s). The description is based on the longwave approximation including inertia effects, which are important due to the large velocities imparted by external vibrations. The linearized system is examined using the Floquet analysis. Pattern formation in the nonlinear regime is computed numerically from the longwave equations for the thickness and the flow rate of the fluid in two and in three spatial dimensions. For certain amplitude and frequency ranges, combined lateral and normal oscillations can give rise to one or more traveling drops, similar to recent experimental findings by Brunet et al. [Phys. Rev. Lett. 99, 144501 (2007)].}, language = {en} }