Publikationen

Geophysical Flows
  • Bestehorn, M., Tyvand, P.A., Merging and colliding bores, Phys. Fluids, 21, 042107 (2009)
  • P. A. Tyvand, M. Bestehorn, Diffraction of Poincare waves by a change in ocean depth, Geophys. Astrophys. Fluid Dynamics, 103, 1 (2009)
  • P. Cheng, M. Bestehorn, A. Firoozabadi, Effect of permeability anisotropy on density-driven flow for CO2 sequestration in saline aquifers, Water. Resour Res. 48, WO9539 (2012)
  • M. Bestehorn, A. Firoozabadi, Effect of fluctuations on the onset of density-driven convection in porous media, Phys. Fluids 24, 114101 (2012)
Laser ablation and surface patterns
  • O. Varlamova, F. Costache, J. Reif, M. Bestehorn, Self-organized pattern formation upon femdosecond laser ablation by circular polarized light, Appl. Surf. Sci. 252, 4702 (2006)
  • O. Varlamova, J. Reif, S. Varlamov, M. Bestehorn,The laser polarization as control parameter in the formation of laser-induced periodic surface structures: Comparison of numerical and experimental results, Appl. Surf. Sci. 257, 5465 (2011)
  • O. Varlamova, J. Reif, S. Varlamov, M. Bestehorn, The role of asymmetric excitation in self-organized nanostructure formation upon femtosecond laser ablation, Appl. Phys. A - Materials Science & Processing 104, 969 (2011)
  • O. Varlamova, J. Reif, S. Varlamov, M. Bestehorn, Modeling of the laser polarization as control parameter in self-organized surface pattern, J. Nanoscience and Nanotechnology 11, 9274 (2011)
  • J. Reif, O. Varlamova, S. Uhlig, S. Varlamov, M. Bestehorn, On the physics of self-organized nanostructure formation upon femtosecond laser ablation, Appl. Phys. A - Materials Science & Processing 117, 179 (2014)
Biological and Chemical Models
  • M. Bestehorn, Musterbildung und Musteranalyse - Moderne Aspekte der Synergetik in Systemtheorie und Modellierung von Ökosystemen, Umweltwissenschaften, Physica-Verlag, ed. A.Gnauck (2002)
  • M. Enculescu, M. Bestehorn, Activity dynamics in non-local interacting neural fields, Phys. Rev. E67, 041904 (2003)
  • A. Hutt, M. Bestehorn, T. Wennekers, Pattern Formation in Intracortical Neuronal Fields, Network: Comput. Neural Syst. 14, 351 (2003)
  • M. Enculescu, A note on traveling fronts and pulses in a firing rate model of a neuronal network, Physica D196, 362 (2004)
  • B. Pena, C. Perez-Garcia, M. Bestehorn, Modulated standing waves resulting from a Hopf-wave interaction in a chemical model, Int. J. Bifurcat. Chaos 14, 3899 (2004)
  • M. Enculescu, M. Bestehorn, Liapunov functional for a delayed integro-differential equation model of a neural field, Europhys. Lett. 77, 68007 (2007)
  • B. Pena, M. Bestehorn, Two-dimensional wave patterns near a Hopf-wave interaction in a chemical model, Eur. Phys. J. Special Topics 146, 301 (2007)
  • M. Enculescu, M. Bestehorn, Mechanisms for activity spread in a neural field model, Neurocomputing, 70, 2996 (2007)
Thin Film Instabilities
  • M. Bestehorn, K. Neuffer, Surface Patterns of Laterally Extended Thin Liquid Films in Three Dimensions, Phys. Rev. Lett. 87, 046101 (2001)
  • U. Thiele, M. G. Velarde, K. Neuffer, M. Bestehorn, Y. Pomeau, Sliding drops in the diffusive interface model coupled to hydrodynamics Phys. Rev. E64, 061601 (2001)
  • U. Thiele, K. Neuffer, M. Bestehorn, Y. Pomeau, M. G. Velarde, Sliding drops on an inclined plane Colloids and Surfaces A206, 87 (2002)
  • M. Bestehorn, A. Pototsky, U. Thiele, 3D Large scale Marangoni convection in liquid films, Eur. Phys. J. B33, 457 (2003)
  • U. Thiele, L. Brusch, M. Bestehorn, M. Bär, Modelling thin-film dewetting on structured substrates and templates, Eur. Phys. J. E11, 255 (2003)
  • A. Pototsky, M. Bestehorn, U. Thiele, Control of the structuring of thin soft matter films by means of different types of external disturbance, Physica D199, 138 (2004)
  • A. Pototsky, M. Bestehorn, D. Merkt, U. Thiele, Alternative pathways of dewetting for a thin two-layer film of soft matter, Phys. Rev. E70, 025201(R) (2004)
  • D. Merkt, A. Pototsky, M. Bestehorn, U. Thiele, Long-wave theory of bounded two-layer films with a free liquid-liquid interface: Short and long-time evolution Phys. Fluids 17, 064104 (2005)
  • A. Pototsky, M. Bestehorn, D. Merkt, U. Thiele, Morphology changes in the evolution of liquid two-layer films, J. Chem. Phys. 122, 224711 (2005)
  • A. Pototsky, M. Bestehorn, D. Merkt, U. Thiele, Evolution of interface patterns of three-dimensional two-layer liquid films, Europhys. Lett. 74, 665 (2006)
  • M. Bestehorn, D. Merkt, Regular surface patterns on Rayleigh-Taylor unstable evaporating films heated from below, Phys. Rev. Lett. 97, 127802 (2006)
  • I. D. Borcia, R. Borcia, M. Bestehorn, Long wave instabilities in binary mixture thin liquid films, J. Optoelectron. Adv. Mater. 8, 1033 (2006)
  • I. D. Borcia, R. Borcia, M. Bestehorn, Soret effect in thin liquid films: Localized running drops, holes and stripes, Europhys. Lett. 75, 112 (2006)
  • I. D. Borcia, M. Bestehorn, Surface instability on thin fluid layers of a binary mixture, European Phys. J. Special Topics, 166, 73 (2009)
  • M. Bestehorn, I. D. Borcia, Thin film lubrication dynamics of a binary mixture: example of an oscillatory instability, Phys. Fluids 22, 104102 (2010)
  • A. Pototsky, A. J. Archer, M. Bestehorn, D. Merkt, S. Savelev, F. Marchesoni, Collective shuttling of attracting particles in asymmetric narrow channels, Phys. Rev. E 82, 030401 (R) (2010)
  • M. Bestehorn, Laterally Extended Thin Liquid Films Under External Vibrations, Phys. Fluids 25, 114106 (2013)
  • M. Bestehorn, Q. Han, A. Oron, Nonlinear Pattern Formation in Thin Liqiud Films Under External Vibrations, Phys. Rev. E 88, 023025 (2013)
  • M. Bestehorn, Regular Hexagons and Stripes on Marangoni and Rayleigh-Taylor unstable volatile thin films, Eur. J. Mech. B47, 48 (2014)
Numerical Results in Three Dimensions
  • M. Bestehorn, C. Pérez-García, Modulated Rolls and Traveling Waves in a Secondary Convective Instability, Europhys Lett. 16, 225 (1991)
  • M. Bestehorn, Numerical Results of 3D-Convection in a Binary Mixture for a Positive Separation Ratio, Physica D61, 59 (1992)
  • J. Millán-Rodriguez, C.Pérez-García, M.Bestehorn, M.Fantz, R.Friedrich, Pattern Formation in Convection of Rotating Fluids with Broken Vertical Symmetry, Phys. Rev. A46, 4729 (1992)
  • M. Bestehorn, Numerical Results of 3D Stationary Convection in a Binary Mixture, Phys. Lett. A174, 43 (1993)
  • M. Bestehorn, Phase and Amplitude Instabilities for Bénard-Marangoni Convection in Fluid Layers with Large Aspect Ratio, Phys. Rev. E48, 3622 (1993)
  • M. Bestehorn, Pattern Selection in Bénard-Marangoni Convection, Chaos and Bifurcation 4, 1085 (1994)
  • J. Millán-Rodriguez, M. Bestehorn, C. Pérez-García, R. Friedrich, M. Neufeld, Defects Motion in Rotating Fluids, Phys. Rev. Lett. 74, 530 (1995)
  • M. Bestehorn, Square Patterns in Bénard-Marangoni-Convection, Phys. Rev. Lett. 76, 46 (1996)   
  • M. Bestehorn, Two Layer Model Showing a Variety of Pattern Types near Nonequilibrium Phase Transitions, Phys. Rev. E53, 4842 (1996)
  • K. Nitschke, M. Bestehorn, A. Thess, Square Cells in Surface-Tension-Driven Bénard Convection, Journ. Fluid Mech. 356, 155 (1998)
  • M. Bestehorn, P. Colinet, Bénard-Marangoni-Convection of a Binary Mixture as an Example of an Oscillatory Bifurcation Under Strong Symmetry-Breaking Effects, Physica D145, 84 (2000)
  • D. Merkt, M. Bestehorn, Benard-Marangoni convection in a strongly evaporating fluid, Physica D185, 196 (2003)
  • P. Colinet, L. Joannes, C.S. Iorio, B. Haut, M. Bestehorn, G. Lebon, J. C. Legros, Interfacial turbulence in evaporating liquids: Theory and preliminary results of the ITEL-Master 9 sounding rocket experiment, Adv.Space Res. 32, 119 (2003)
  • D. Merkt, M. Bestehorn, Pattern formation in anticonvective systems, Fluid Dyn. Res. 44, 031413 (2012)
2D Order Parameter Models
  • M. Bestehorn, H. Haken, A Calculation of Transient Solutions Describing Roll and Hexagon Formation in the Convection Instability, Phys. Lett. 99A, 265 (1983)
  • M. Bestehorn, H. Haken, Transient Patterns of the Convection Instability: A Model Calculation, Z. Phys. 57B, 329 (1984)
  • M. Bestehorn, H. Haken, Pattern Formation and Transients in the Convection Instability, in Complex Systems - Operational Approaches, Springer Series in Synergetics Vol.31, p.300, ed. H.Haken, Springer Berlin (1985)
  • M. Bestehorn, R. Friedrich, H. Haken, The Oscillatory Instability of a Spatially Homogeneous State in Large Aspect Systems of Fluid Dynamics, Z. Phys. 72B, 265 (1988)
  • M. Bestehorn, R. Friedrich, H. Haken, Two-dimensional Traveling Wave Patterns in Nonequilibrium Systems, Z. Phys. 75B, 265 (1989)
  • M. Bestehorn, R. Friedrich, H. Haken, Traveling Waves in Nonequilibrium Systems, Physica D37, 295 (1989)
  • M. Bestehorn, R. Friedrich, H. Haken, Modulated Traveling Waves in Nonequilibrium Systems: The Blinking State, Z. Phys. 77B, 151 (1989)
  • M. Bestehorn, R. Friedrich, H. Haken, Modulated Traveling Waves in Nonequilibrium Systems, in Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems, eds. F. H. Busse, L. Kramer, Plenum Press, New York (1990)
  • M. Bestehorn, H. Haken, Traveling Waves and Pulses in a Two-Dimensional Large-Aspect-Ratio System, Phys. Rev. A42, 7195 (1990)
  • M. Bestehorn, H. Haken, Associative Memory of a Dynamical System: The Example of the Convection Instability, Z. Phys. 82B, 305 (1991)
  • M. Bestehorn, Stationary and Traveling Pulses of the 2D Complex Ginzburg-Landau Equation, Europhys Lett. 15, 473 (1991)
  • M. Bestehorn, M. Fantz, R. Friedrich, H. Haken, C. Pérez-García, Spiral Patterns in Thermal Convection, Z.Phys. 88B, 93 (1992)
  • M.Bestehorn, C.Pérez-García, Study of a Model of Thermal Convection in Cylindrical Containers, Physica D61, 67 (1992)
  • M. Fantz, R. Friedrich, M. Bestehorn, H. Haken, Pattern Formation in Rotating Bénard Convection, Physica D61, 147 (1992)
  • M. Bestehorn, M. Fantz, R. Friedrich, H. Haken, Hexagonal and Spiral Patterns of Thermal Convection, Phys. Lett. A174, 48 (1993)
  • J. Millán-Rodriguez, M. Bestehorn, C. Pérez-García, M. Neufeld, R. Friedrich, Motion of Defects in Rotating Fluids, Chaos 4, 369 (1994)
  • M. Bestehorn, M. Neufeld, R. Friedrich, H. Haken, Comment on Spiral pattern formation in Rayleigh-Bénard Convection, Phys. Rev. E50, 625 (1994)
  • H. Herrero, C. Pérez-García, M. Bestehorn, Stability of fronts separating domains with different symmetries in hydrodynamical instabilities, Chaos 4, 15 (1994)
  • M. Bestehorn, R. Friedrich, Natural Patterns in Nonequilibrium Systems , in A Perspective Look at Nonlinear Media - From Physics to Biology and Social Sciences, ed. J. Parisi, S. C. Müller, W. Zimmermann, Springer (1998)   
  • M. Bestehorn, R. Friedrich, Rotationally invariant order parameter equations for natural patterns in nonequilibrium systems, Phys. Rev. E59, 2642 (1999)
Bénard-Marangoni Convection, Surface Effects
  • M. Bestehorn, C. Pérez-García, Coexistence of Patterns with Different Symmetries in Bénard-Marangoni-Convection, Europhys Lett. 4, 1365 (1987)
  • A. Thess, M. Bestehorn, Planform Selection in Bénard-Marangoni-Convection: -hexagons versus g-hexagons, Phys. Rev. E52, 6358 (1995)
  • C. Pérez-García, B. Echebarria, M. Bestehorn, Thermal Properties in Surface-Tension-Driven Convection, Phys. Rev. E57, 475 (1998)
  • S. Van Vaerenbergh, J. C. Legros, P. Colinet, M. G. Velarde, M. Bestehorn, G. Lebon, A. Thess, C. Karcher, Processes With Double Diffusive Instabilities Studied in Microgravity, ESA SP-433, 241 (1999)
  • R. Borcia, M. Bestehorn, Phase-field model for Marangoni convection liquid-gas systems with deformable interface, Phys. Rev. E67, 066307 (2003)
  • R. Borcia, D. Merkt, M. Bestehorn, A phase-field description of surface-tension-driven instability, J. Bifurcat. Chaos, 14, 4105 (2004)
  • R. Borcia, M. Bestehorn, Phase-field simulations for evaporation with convection in liquid-vapor systems, Eur. Phys. J. B44, 101 (2005)
  • R.Borcia, M. Bestehorn, Phase field models for Marangoni convection in planar layers, J. Optoelectron. Adv. Mater. 8, 1037 (2006)
  • R. Borcia, D. Merkt, M. Bestehorn, Convective patterns in liquid-vapor systems with diffuse interface, J. Bifurcat. Chaos, 16, 2705 (2006)
  • R. Borcia and M. Bestehorn, Phase field models and Marangoni flows, Fluid Dynamics & Materials Processing (FDMP), vol. 3, no. 4, 287 (2007)
  • M. Bestehorn, Convection in thick and thin fluid layers with a free surface - The Influence of Evaporation, Eur. Phys. J. Special Topics 146, 391 (2007)
  • R. Borcia, M. Bestehorn, Phase field simulations for drops and bubbles, Phys. Rev. E75, 056309 (2007)
  • R. Borcia, I. D. Borcia, M. Bestehorn, Drops on an arbitrarily wetting substrate: A phase field description, Phys. Rev. E78, 066307 (2008).
  • R. Borcia, I. D. Borcia, M. Bestehorn, Liquid layers on a patterned surface Soft Matter, 4(12),2368 (2008).
  • R. Borcia, M. Bestehorn, Controlled Pattern Formation in Thin Liquid Layers, Langmuir 25, 1919 (2009)
  • R. Borcia, I. D. Borcia, M. Bestehorn, Static and dynamic contact angles: A phase field modeling, Eur. Phys. J. Special Topics 166, 127 (2009)
  • R. Borcia, M. Bestehorn, A phase-field description of spatio-temporal behavior in thin liquids layers, Fluid Dynamics & Materials Processing (FDMP) 6, 1 (2010)
  • R. Borcia, M. Bestehorn, Different behaviours of delayed fusion between drops with miscible liquids, Phys. Rev. E82, 036312 (2010).
  • R. Borcia, S. Menzel, M. Bestehorn, S. Karpitschka, H. Riegler, Delayed coalescence of droplets with miscible liquids: lubrication and phase field theories, Eur. Phys. J. E34, 24 (2011)
  • R. Borcia, M. Bestehorn, On the coalescence of sessile drops with miscible liquids, Eur. Phys. J. E34, 81 (2011)
  • R. Borcia, I. D. Borcia, M. Bestehorn, Nonlinear dynamics of thin liqiud films consisting of two miscible components, Phys. Rev. E 86, 056319 (2012)
  • R. Borcia, M. Bestehorn, Partial coalescence of sessile drops with different miscible liquids, Langmuir 29, 4426 (2013)
  • R. Borcia, M. Bestehorn, A phase field description of self-propulsion of twin sessile drops induced by surface tension gradients, Fluid Dyn. Res 46, 041405 (2014)
  • R. Borcia, M. Bestehorn, Phase field modelling of non-equilibrium patterns on the surface of a liquid film under lateral oscillations at the substrate, Int. J. Bifurcat. Chaos 24, 1450110 (2014)
  • R. Borcia, I. D. Borcia, M. Bestehorn, Can vibrations control drop motion?, Langmuir 30, 14113 (2014)
Delay Equations
  • M. Bestehorn, E. V. Grigorieva, H. Haken, S. A. Kaschenko, Order Parameters for Class-B Lasers With a Long Time Delayed Feedback, Physica D145, 110 (2000)
  • M. Bestehorn, E. V. Grigorieva, S. A. Kaschenko, Spatio-Temporal Structures in a Model With Delay And Diffusion, Phys. Rev. E70, 026202 (2004)
  • M. Bestehorn, E. V. Grigorieva, Formation and Propagation of Localized States in Extended Systems, Ann. Phys. 13, 427 (2004)
Proceedings, Encyclopedia and Books
  • M. Bestehorn, R. Friedrich, A. Fuchs, H. Haken, A. Kuhn, A. Wunderlin, Synergetics Applied to Pattern Formation and Pattern Recognition, in Optimal Structures in Heterogeneous Reaction Systems, Springer Series in Synergetics Vol. 44, p.164, ed. P. J. Plath, Springer Berlin (1989)
  • M. Bestehorn, H. Haken, Synergetics Applied to Pattern Formation in Large Aspect-Ratio Systems, in Dissipative Structures and Combustion, Springer Series in Synergetics Vol.48, ed. D.Meinkoehn, Springer Berlin (1990)
  • R. Friedrich, M. Bestehorn, H. Haken, Pattern Formation in Convective Instabilities, Int. J. Mod. Phys. B4, 365 (1990)
  • M. Bestehorn, Pattern Formation in Fluids - Variational and Non-Variational Models, in Evolution of Dynamical Structures in Complex Systems, Springer Proceedings in Physics Vol. 69, eds. R. Friedrich, A. Wunderlin, Springer Berlin (1992)
  • M. Bestehorn, C. Pérez-García, Pattern Formation in Extended Continuous Systems, in Growth Patterns in Physical Sciences and Biology, ed. J. M. García-Ruiz, Plenum Press, New York, 381 (1993)
  • M. Bestehorn, Strukturbildung durch Selbstorganisation in Flüssigkeiten und in chemischen Systemen, Verlag Harri Deutsch, Reihe Physik Bd. 48 (1995)
  • R. Borcia, M. Bestehorn, Diffuse-interface model for Marangoni convection in liquid-gas systems, Proceedings 5th General Conference Balkan Physical Union (Editors: S. Jokic, I. Milosevic, A. Balaz, Z. Nikolic), 1219 (2003)
  • M. Bestehorn, D. Merkt, M. Enculescu, Entstehung und Dynamik makroskopischer Strukturen fern vom Gleichgewicht, BTU Forum der Forschung 18, 31 (2005)
  • M. Bestehorn, Hydrodynamik und Strukturbildung - Mit einer kurzen Einführung in die Kontinuumsmechanik, Springer-Lehrbuch, Springer Berlin (2006)
  • M. Bestehorn, Surface patterns on thin liquid films, reduced 2D-descriptions. Part I. Perfect fluids, Idojaras 111, 171 (2007)
  • M. Bestehorn, Surface patterns on thin liquid films, reduced 2D-descriptions. Part II. Viscous fluids, Idojaras 111, 185 (2007)
  • I. D. Borcia, M. Bestehorn, Simulation of Pattern Morphology in Binary Liquid Mixtures, AIP Conference Proceedings 1203, 1166 (2009)
  • R. Borcia, M. Bestehorn, Numerical Simulations on Delayed Coalescence of Droplets in Confined Geometries, AIP Conference Proceedings 1203, 1221 (2009)
  • M. Bestehorn, Fluid Dynamics and Pattern Formation, Contribution to Encyclopedia of Complexity and System Science, Ed. R. A. Meyers, Springer Berlin (2009)