TY - JOUR A1 - Bestehorn, Michael T1 - Convection in thick and thin fluid layers with a free surface - The Influence of Evaporation Y1 - 2007 ER - TY - JOUR A1 - Borcia, Rodica A1 - Bestehorn, Michael T1 - Phase field simulations for drops and bubbles Y1 - 2007 ER - TY - JOUR A1 - Borcia, Rodica A1 - Borcia, Ion-Dan A1 - Bestehorn, Michael T1 - Drops on an arbitrarily wetting substrate: A phase field description Y1 - 2008 ER - TY - JOUR A1 - Borcia, Rodica A1 - Borcia, Ion-Dan A1 - Bestehorn, Michael T1 - Liquid layers on a patterned surface JF - Soft Matter Y1 - 2008 UR - 1744-6848 VL - 4 IS - 12 SP - 2368 EP - 2372 ER - TY - GEN A1 - Borcia, Rodica A1 - Bestehorn, Michael T1 - Controlled Pattern Formation in Thin Liquid Layers Y1 - 2009 ER - TY - GEN A1 - Borcia, Rodica A1 - Bestehorn, Michael T1 - A Phase Field Description of Spatio-Temporal Behavior in Thin Liquid Layers Y1 - 2010 ER - TY - JOUR A1 - Bestehorn, Michael A1 - Haken, H. T1 - A Calculation of Transient Solutions Describing Roll and Hexagon Formation in the Convection Instability Y1 - 1983 ER - TY - JOUR A1 - Bestehorn, Michael A1 - Haken, H. T1 - Transient Patterns of the Convection Instability: A Model Calculation KW - 2D Order Parameter Models Y1 - 1984 ER - TY - JOUR A1 - Bestehorn, Michael A1 - Friedrich, R. A1 - Haken, H. T1 - The Oscillatory Instability of a Spatially Homogeneous State in Large Aspect Systems of Fluid Dynamics KW - 2D Order Parameter Models Y1 - 1988 ER - TY - JOUR A1 - Bestehorn, Michael A1 - Friedrich, R. A1 - Haken, H. T1 - Two-dimensional Traveling Wave Patterns in Nonequilibrium Systems Y1 - 1989 ER - TY - JOUR A1 - Bestehorn, Michael A1 - Friedrich, R. A1 - Haken, H. T1 - Traveling Waves in Nonequilibrium Systems KW - 2D Order Parameter Models Y1 - 1989 ER - TY - JOUR A1 - Bestehorn, Michael A1 - Friedrich, R. A1 - Haken, H. T1 - Modulated Traveling Waves in Nonequilibrium Systems: The Blinking State Y1 - 1989 ER - TY - GEN A1 - Pototsky, Andrey A1 - Archer, Andrew J. A1 - Bestehorn, Michael A1 - Merkt, Domnic A1 - Savelev, S. A1 - Marchesoni, F. T1 - Collective shuttling of attracting particles in asymmetric narrow channels Y1 - 2010 ER - TY - GEN A1 - Bestehorn, Michael A1 - Tyvand, Peder A. T1 - Merging and colliding bores Y1 - 2009 ER - TY - GEN A1 - Tyvand, Peder A. A1 - Bestehorn, Michael T1 - Diffraction of Poincare waves by a change in ocean depth Y1 - 2009 ER - TY - JOUR A1 - Friedrich, R. A1 - Bestehorn, Michael A1 - Haken, H. T1 - Pattern Formation in Convective Instabilities Y1 - 1990 ER - TY - JOUR A1 - Bestehorn, Michael A1 - Haken, H. T1 - Traveling Waves and Pulses in a Two-Dimensional Large-Aspect-Ratio System JF - Physical Review A Y1 - 1990 SN - 0556-2791 VL - 42 IS - 12 SP - 7195 EP - 7203 ER - TY - JOUR A1 - Bestehorn, Michael A1 - Haken, H. T1 - Associative Memory of a Dynamical System: The Example of the Convection Instability JF - Zeitschrift für Physik B Y1 - 1991 SN - 1431-584 SN - 0722-3277 VL - 82 IS - 2 SP - 305 EP - 308 ER - TY - JOUR A1 - Bestehorn, Michael A1 - Pérez-García, C. T1 - Study of a Model of Thermal Convection in Cylindrical Containers KW - 2D Order Parameter Models Y1 - 1992 ER - TY - JOUR A1 - Millán-Rodriguez, J. A1 - Bestehorn, Michael A1 - Pérez-García, C. A1 - Neufeld, M. A1 - Friedrich, R. T1 - Motion of Defects in Rotating Fluids Y1 - 1994 ER - TY - JOUR A1 - Bestehorn, Michael A1 - Neufeld, M. A1 - Friedrich, R. A1 - Haken, H. T1 - Comment on Spiral pattern formation in Rayleigh-Bénard Convection Y1 - 1994 ER - TY - JOUR A1 - Borcia, Rodica A1 - Bestehorn, Michael T1 - Phase-field model for Marangoni convection in liquid-gas systems with deformable interface Y1 - 2003 ER - TY - JOUR A1 - Pototsky, Andrey A1 - Bestehorn, Michael A1 - Merkt, Domnic A1 - Thiele, Uwe T1 - Alternative pathways of dewetting for a thin two-layer film of soft matter Y1 - 2004 U6 - https://doi.org/10.48550/arXiv.nlin/0401042 ER - TY - JOUR A1 - Merkt, Domnic A1 - Pototsky, Andrey A1 - Bestehorn, Michael A1 - Thiele, Uwe T1 - Long-wave theory of bounded two-layer films with a free liquid-liquid interface: Short and long-time evolution Y1 - 2005 U6 - https://doi.org/10.1063/1.1935487 ER - TY - JOUR A1 - Pototsky, Andrey A1 - Bestehorn, Michael A1 - Merkt, Domnic A1 - Thiele, Uwe T1 - Evolution of interface patterns of three-dimensional two-layer liquid films JF - Europhysics Letters Y1 - 2006 U6 - https://doi.org/10.1209/epl/i2006-10026-8 SN - 0302-072X VL - 74 IS - 4 SP - 665 EP - 671 ER - TY - JOUR A1 - Bestehorn, Michael A1 - Merkt, Domnic T1 - Regular surface patterns on Rayleigh-Taylor unstable evaporating films heated from below Y1 - 2006 ER - TY - JOUR A1 - Borcia, Ion-Dan A1 - Borcia, Rodica A1 - Bestehorn, Michael T1 - Long wave instabilities in binary mixture thin liquid films Y1 - 2006 ER - TY - JOUR A1 - Borcia, Ion-Dan A1 - Borcia, Rodica A1 - Bestehorn, Michael T1 - Soret effect in thin liquid films:Localized running drops, holes and stripes Y1 - 2006 ER - TY - GEN A1 - Bestehorn, Michael A1 - Borcia, Ion-Dan T1 - Thin film lubrication dynamics of a binarymixture Y1 - 2010 ER - TY - JOUR A1 - Enculescu, Mihaela A1 - Bestehorn, Michael T1 - Activity dynamics in non - localinteracting neural fields Y1 - 2003 ER - TY - JOUR A1 - Hutt, A. A1 - Bestehorn, Michael A1 - Wennekers, T. T1 - Pattern Formation in Intracortical Neuronal Fields Y1 - 2003 ER - TY - JOUR A1 - Pena, B. A1 - Pérez-García, C. A1 - Bestehorn, Michael T1 - Modulated standing waves resulting from a Hopf-wave interaction in a chemical model Y1 - 2004 ER - TY - JOUR A1 - Enculescu, Mihaela A1 - Bestehorn, Michael T1 - Liapunov functional for a delayedintegro-differential equation model of a neural field Y1 - 2007 ER - TY - JOUR A1 - Pena, B. A1 - Bestehorn, Michael T1 - Two-dimensional wave patterns near a Hopf-wave interaction in a chemical model Y1 - 2007 ER - TY - JOUR A1 - Enculescu, Mihaela A1 - Bestehorn, Michael T1 - Mechanisms for activity spread in a neural field model Y1 - 2007 ER - TY - GEN A1 - Borcia, Rodica A1 - Bestehorn, Michael T1 - On the coalescence of sessile drops with miscible liquids T2 - European Physical Journal E Y1 - 2011 SN - 1292-8941 VL - 34 IS - 8 SP - 81 ER - TY - GEN A1 - Borcia, Rodica A1 - Menzel, Stefan A1 - Bestehorn, Michael A1 - Karpitschka, Stefan A1 - Riegler, Horst T1 - Delayed coalescence of droplets with miscible liquids: Lubrication and phasefield theories T2 - European Physical Journal E Y1 - 2011 SN - 1292-8941 VL - 34 IS - 3 SP - 11024-9 ER - TY - GEN A1 - Reif, Jürgen A1 - Varlamova, Olga A1 - Varlamov, Sergej A1 - Bestehorn, Michael T1 - The role of asymmetric excitation in self-organized nanostructure formation upon femtosecond laser ablation T2 - Applied Physics / A Y1 - 2011 SN - 1432-0630 VL - 104 IS - 3 SP - 969 EP - 973 ER - TY - GEN A1 - Varlamova, Olga A1 - Reif, Jürgen A1 - Varlamov, Sergej A1 - Bestehorn, Michael T1 - The laser polarization as control parameter in the formation of laser-induced periodic surface structures: Comparison of numerical and experimental results T2 - Applied Surface Science Y1 - 2011 SN - 0169-4332 VL - 257 IS - 12 SP - 5465 EP - 5469 ER - TY - GEN A1 - Borcia, Rodica A1 - Bestehorn, Michael T1 - Numerical simulations on delayed coalescence of droplets in confinedgeometries Y1 - 2010 ER - TY - GEN A1 - Borcia, Ion-Dan A1 - Bestehorn, Michael T1 - Simulation of pattern morphology in binary liquid mixtures Y1 - 2010 ER - TY - CHAP A1 - Borcia, Rodica A1 - Bestehorn, Michael A1 - Egbers, Christoph T1 - Surface effects at the mixing of two perfectly miscible components in a thin liquid film T2 - International Topical Team Workshop on Two-Phase Systems for Ground and Space Applications, ITTW 2013 Y1 - 2013 UR - http://www.zarm.uni-bremen.de/ITTW2013/abstracts/ITTW2013_Book-of-Abstracts.pdf ER - TY - CHAP A1 - Borcia, Ion-Dan A1 - Borcia, Rodica A1 - Bestehorn, Michael A1 - Egbers, Christoph T1 - Drops on cylindrical wires T2 - International Topical Team Workshop on Two-Phase Systems for Ground and Space Applications, ITTW 2013 Y1 - 2013 UR - http://www.zarm.uni-bremen.de/ITTW2013/abstracts/ITTW2013_Book-of-Abstracts.pdf ER - TY - CHAP A1 - Borcia, Ion-Dan A1 - Borcia, Rodica A1 - Bestehorn, Michael A1 - Borcia, C. A1 - Dumitrascu, N. A1 - Egbers, Christoph T1 - Drops on cylindrical surfaces T2 - 7th Conference of the International Marangoni Association, Vienna (Austria), June 23-26, 2014 Y1 - 2014 UR - http://ima7.conf.tuwien.ac.at/AbstractsIMA7.pdf SP - S. 33 PB - Techn. Univ. CY - Vienna ER - TY - CHAP A1 - Reif, Jürgen A1 - Varlamova, Olga A1 - Varlamov, Sergej A1 - Bestehorn, Michael ED - Phipps, Claude R. T1 - The role of asymmetric excitation in self-organized nanostructure formation upon femtosecondlaser ablation T2 - International Symposium on High Power Laser Ablation 2012, Santa Fe, New Mexico, USA, 30 April - 3 May 2012 Y1 - 2012 SN - 978-0-7354-1068-8 SP - 428 EP - 441 PB - American Institute of Physics CY - Melville, NY ER - TY - GEN A1 - Varlamova, Olga A1 - Reif, Jürgen A1 - Varlamov, Sergej A1 - Bestehorn, Michael T1 - Modeling of the Laser Polarization as Control Parameter in Self-Organized Surface Pattern T2 - Journal of Nanoscience and Nanotechnology Y1 - 2011 SN - 1533-4880 VL - 11 IS - 10 SP - 9274 EP - 9281 ER - TY - GEN A1 - Varlamova, Olga A1 - Costache, Florenta Adriana A1 - Reif, Jürgen A1 - Bestehorn, Michael T1 - Self-organized pattern formation upon femtosecond laser ablation by circular polarized light T2 - Applied Surface Science Y1 - 2006 SN - 0169-4332 VL - 252 IS - 13 SP - 4702 EP - 4706 ER - TY - CHAP A1 - Reif, Jürgen A1 - Costache, Florenta Adriana A1 - Eckert, Sebastian A1 - Kouteva-Arguirova, Simona A1 - Bestehorn, Michael A1 - Georgescu, Ionut A1 - Semorek, A. F. A1 - Martin, P. A1 - Gobert, O. A1 - Seifert, Winfried T1 - Formation of self-organized regular nanostructures upon femtosecond laser ablation T2 - Fifth International Symposium on Laser Precision Microfabrication, 11 - 14 May, 2004, Nara, Japan Y1 - 2004 SN - 0-8194-5623-3 SP - S. 737 PB - SPIE CY - Bellingham, Wash. ER - TY - CHAP A1 - Varlamova, Olga A1 - Reif, Jürgen A1 - Varlamov, Sergej A1 - Bestehorn, Michael ED - Sakabe, Shuji ED - Lienau, Christoph ED - Grunwald, Rüdiger T1 - Self-organized Surface Patterns Originatin from Laser-Induced Instability T2 - Progress in nonlinear nano-optics Y1 - 2015 SN - 978-3-319-12216-8 SN - 3-319-12216-9 SP - 3 EP - 29 PB - Springer CY - Cham [u.a.] ER - TY - GEN A1 - Cheng, Philip A1 - Bestehorn, Michael A1 - Firoozabadi, Abbas T1 - Effect of permeability anisotropy on density-driven flow for CO2 sequestration in saline aquifers T2 - Water Resources Research N2 - 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. Y1 - 2012 UR - http://onlinelibrary.wiley.com/doi/10.1029/2012WR011939/abstract U6 - https://doi.org/10.1029/2012WR011939 SN - 1944-7973 VL - 48 IS - 9 SP - W09539 ER - TY - GEN A1 - Bestehorn, Michael A1 - Firoozabadi, Abbas T1 - Effect of fluctuations on the onset of density-driven convection in porous media T2 - Physics of Fluids N2 - 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. Y1 - 2012 UR - http://scitation.aip.org/content/aip/journal/pof2/24/11/10.1063/1.4767467 U6 - https://doi.org/10.1063/1.4767467 SN - 1089-7666 VL - 24 IS - 11 SP - 114102 ER - TY - GEN A1 - Reif, Jürgen A1 - Varlamova, Olga A1 - Uhlig, Sebastian A1 - Varlamov, Sergej A1 - Bestehorn, Michael T1 - On the physics of self-organized nanostructure formation upon femtosecond laser ablation T2 - Applied Physics A N2 - 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. Y1 - 2014 UR - http://link.springer.com/article/10.1007/s00339-014-8339-x U6 - https://doi.org/10.1007/s00339-014-8339-x SN - 0947-8396 SN - 1432-0630 VL - 117 IS - 1 SP - 179 EP - 184 ER -