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Piriz SA, Piriz AR, Tahir NA, Richter S, Bestehorn M. Rayleigh-Taylor instability in elastic-plastic solid slabs bounded by a rigid wall. Phys Rev E 2021; 103:023105. [PMID: 33735991 DOI: 10.1103/physreve.103.023105] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/22/2020] [Accepted: 01/22/2021] [Indexed: 11/07/2022]
Abstract
The linear evolution of the incompressible Rayleigh-Taylor instability for the interface between an elastic-plastic slab medium and a lighter semi-infinite ideal fluid beneath the slab is developed for the case in which slab is attached to a rigid wall at the top surface. The theory yields the maps for the stability in the space determined by the initial perturbation amplitude and wavelength, as well as for the transition boundary from the elastic to the plastic regimes for arbitrary thicknesses of the slab and density contrasts between the media. In particular, an approximate but very accurate scaling law is found for the minimum initial perturbation amplitude required for instability and for the corresponding perturbation wavelength at which it occurs. These results allows for an interpretation of the recent experiments by Maimouni et al. [Phys. Rev. Lett. 116, 154502 (2016)PRLTAO0031-900710.1103/PhysRevLett.116.154502].
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Affiliation(s)
- S A Piriz
- Instituto de Investigaciones Energéticas (INEI), E.T.S.I.I., and CYTEMA, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain.,Department of Statistical Physics and Nonlinear Dynamics, Brandenburg University of Technology, 03044 Cottbus-Senftenberg, Germany
| | - A R Piriz
- Instituto de Investigaciones Energéticas (INEI), E.T.S.I.I., and CYTEMA, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain
| | - N A Tahir
- GSI Helmholtzzentrum für Schwerionenforschung Darmstadt, Planckstrasse 1, 64291 Darmstadt, Germany
| | - S Richter
- Department of Statistical Physics and Nonlinear Dynamics, Brandenburg University of Technology, 03044 Cottbus-Senftenberg, Germany
| | - M Bestehorn
- Department of Statistical Physics and Nonlinear Dynamics, Brandenburg University of Technology, 03044 Cottbus-Senftenberg, Germany
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Brockmann SO, Oehme R, Buckenmaier T, Beer M, Jeffery-Smith A, Spannenkrebs M, Haag-Milz S, Wagner-Wiening C, Schlegel C, Fritz J, Zange S, Bestehorn M, Lindau A, Hoffmann D, Tiberi S, Mackenstedt U, Dobler G. A cluster of two human cases of tick-borne encephalitis (TBE) transmitted by unpasteurised goat milk and cheese in Germany, May 2016. ACTA ACUST UNITED AC 2019; 23. [PMID: 29667575 PMCID: PMC6836198 DOI: 10.2807/1560-7917.es.2018.23.15.17-00336] [Citation(s) in RCA: 44] [Impact Index Per Article: 8.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022]
Abstract
In May 2016, two cases of tick-borne encephalitis (TBE) were confirmed by serology (positive IgM and IgG antibodies against TBE virus (TBEV) in serum), with a possible link to raw milk and cheese from a goat farm in a region in Baden-Württemberg, Germany not previously known as TBE-endemic. The outbreak investigation identified 32 consumers of goat dairy products (29 consumers, one farm employee, two owners) of whom none had IgM antibodies against TBEV 3–8 weeks after consumption. Of the 27 notified TBE cases in the State, none reported consumption of raw goat milk or cheese from the suspected farm. Five of 22 cheese samples from 18 different batches were RT-qPCR-positive for TBEV -genome, and two of the five samples were confirmed by virus isolation, indicating viability of TBEV in the cheese. Nine of the 45 goats had neutralising TBEV antibodies, two of them with a high titre indicating recent infection. One of 412 Ixodes ricinus was RT-qPCR-positive, and sequencing of the E gene from nucleic acid extracted from the tick confirmed TBEV. Phylogenetic analyses of tick and cheese isolates showed 100% amino acid homology in the E gene and a close relation to TBEV strains from Switzerland and Austria.
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Affiliation(s)
- S O Brockmann
- Public Health Office, District of Reutlingen, Reutlingen, Germany
| | - R Oehme
- State Health Office Baden-Württemberg, Stuttgart, Germany
| | - T Buckenmaier
- Veterinary Health Office, District of Reutlingen, Reutlingen, Germany
| | - M Beer
- Friedrich-Loeffler Institute, Federal Institute of Animal Health, Institute of Diagnostic Virology, Greifswald, Insel Riems, Germany
| | | | - M Spannenkrebs
- Public Health Office, District of Biberach, Biberach, Germany
| | - S Haag-Milz
- Public Health Office, District of Sigmaringen, Sigmaringen, Germany
| | | | - C Schlegel
- Public Health Office, District of Reutlingen, Reutlingen, Germany
| | - J Fritz
- Public Health Office, District of Reutlingen, Reutlingen, Germany
| | - S Zange
- Bundeswehr Institute of Microbiology; German Consultant Laboratory of TBE, German Center of Infection Research (DZIF), Munich, Germany
| | - M Bestehorn
- Parasitology Unit, University of Hohenheim, Stuttgart, Germany
| | - A Lindau
- Parasitology Unit, University of Hohenheim, Stuttgart, Germany
| | - D Hoffmann
- Friedrich-Loeffler Institute, Federal Institute of Animal Health, Institute of Diagnostic Virology, Greifswald, Insel Riems, Germany
| | - S Tiberi
- Barts Health NHS Trust, London, United Kingdom
| | - U Mackenstedt
- Parasitology Unit, University of Hohenheim, Stuttgart, Germany
| | - G Dobler
- Parasitology Unit, University of Hohenheim, Stuttgart, Germany.,Bundeswehr Institute of Microbiology; German Consultant Laboratory of TBE, German Center of Infection Research (DZIF), Munich, Germany
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Brockmann S, Dobler G, Buckenmaier T, Beer M, Jeffery-Smith A, Spannenkrebs M, Haag-Milz S, Wagner-Wiening C, Schlegel C, Bestehorn M, Lindau A, Mackenstedt U, Oehme R. Frühsommer-Meningoenzephalitis (FSME) nach dem Konsum von Rohmilchprodukten in Deutschland: Konsequenzen für den Verbraucherschutz? Gesundheitswesen 2017. [DOI: 10.1055/s-0037-1602044] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- S Brockmann
- Landratsamt Reutlingen, Kreisgesundheitsamt, Reutlingen
| | - G Dobler
- Institut für Mikrobiologie der Bundeswehr, Nationales Konsiliarlabor für FSME, München
| | | | - M Beer
- Friedrich-Löffler Institut, Riems
| | | | | | | | | | - C Schlegel
- Landratsamt Reutlingen, Kreisgesundheitsamt, Reutlingen
| | - M Bestehorn
- Institut für Mikrobiologie der Bundeswehr, Nationales Konsiliarlabor für FSME, München
| | - A Lindau
- Institut für Zoologie, Universität Hohenheim, Stuttgart
| | - U Mackenstedt
- Institut für Zoologie, Universität Hohenheim, Stuttgart
| | - R Oehme
- Landesgesundheitsamt Baden-Württemberg, Stuttgart
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Borcia R, Bestehorn M. On the coalescence of sessile drops with miscible liquids. Eur Phys J E Soft Matter 2011; 34:81. [PMID: 21858629 DOI: 10.1140/epje/i2011-11081-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/07/2011] [Accepted: 08/08/2011] [Indexed: 05/31/2023]
Abstract
Sessile drops sitting on highly wettable solid substrates fuse in qualitatively different ways after contact, depending on the surface tension gradients between the mixing droplets. In early time evolution the drop coalescence can be fast or delayed (intermittent). In long time evolution a secondary drop formation can occur. We study numerically droplet dynamics during coalescence in two and three spatial dimensions, within a phase field approach. We discuss criteria to distinguish different coalescence regimes. A comparison with recent experiments will be done.
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Affiliation(s)
- R Borcia
- Lehrstuhl Statistische Physik/Nichtlineare Dynamik, Brandenburgische Technische Universität, D-03046 Cottbus, Germany.
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Borcia R, Menzel S, Bestehorn M, Karpitschka S, Riegler H. Delayed coalescence of droplets with miscible liquids: Lubrication and phase field theories. Eur Phys J E Soft Matter 2011; 34:24. [PMID: 21380645 DOI: 10.1140/epje/i2011-11024-9] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/12/2010] [Accepted: 01/26/2011] [Indexed: 05/30/2023]
Abstract
Mixing of droplets with a body of different liquids shows an interesting behavior for small contact angles at solid substrate. The droplets interact with each other, a liquid exchange appears between the approaching drops owing to surface tension gradients at the droplets interface. But the drops remain separated for some seconds (up to minutes), until the merging into a single drop occurs (Langmuir 24, 6395 (2008)). We investigate this phenomenon using lubrication approximation and phase field approach. For both methods, 2D quantitative computer simulations for delayed fusion of perfectly miscible thin liquid films/droplets with low contact angles are reported.
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Affiliation(s)
- R Borcia
- Lehrstuhl Statistische Physik/Nichtlineare Dynamik, Brandenburgische Technische Universität, Cottbus, Germany.
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Pototsky A, Archer AJ, Bestehorn M, Merkt D, Savel'ev S, Marchesoni F. Collective shuttling of attracting particles in asymmetric narrow channels. Phys Rev E Stat Nonlin Soft Matter Phys 2010; 82:030401. [PMID: 21230015 DOI: 10.1103/physreve.82.030401] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/27/2010] [Indexed: 05/30/2023]
Abstract
The rectification of a single file of attracting particles subjected to a low frequency ac drive is proposed as a working mechanism for particle shuttling in an asymmetric narrow channel. Increasing the particle attraction results in the file condensing, as signaled by the dramatic enhancement of the net particle current. The magnitude and direction of the current become extremely sensitive to the actual size of the condensate, which can then be made to shuttle between two docking stations, transporting particles in one direction, with an efficiency much larger than conventional diffusive models predict.
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Affiliation(s)
- A Pototsky
- Department of Physics, Loughborough University, Loughborough LE11 3TU, United Kingdom
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Bestehorn M, Grigorieva EV, Kaschenko SA. Spatiotemporal structures in a model with delay and diffusion. Phys Rev E Stat Nonlin Soft Matter Phys 2004; 70:026202. [PMID: 15447560 DOI: 10.1103/physreve.70.026202] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/20/2003] [Revised: 11/25/2003] [Indexed: 05/23/2023]
Abstract
Pattern formation described by differential-difference equations with diffusion is investigated. It is shown that an arbitrarily small diffusion induces space-time turbulence just at the instability threshold of the homogeneous stationary solution. We prove this property by deriving a complex Ginzburg-Landau equation on the basis of normal form analysis. Well above threshold, such turbulent structures give way to synchronized states ordered by spirals and targets. This secondary instability can be understood with an asymptotic method representing the system as a cellular automaton network.
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Affiliation(s)
- M Bestehorn
- Department of Theoretical Physics II, Brandenburg University of Technology, 03013 Cottbus, Germany.
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Thiele U, Brusch L, Bestehorn M, Bär M. Modelling thin-film dewetting on structured substrates and templates: bifurcation analysis and numerical simulations. Eur Phys J E Soft Matter 2003; 11:255-271. [PMID: 15011046 DOI: 10.1140/epje/i2003-10019-5] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
We study the dewetting process of a thin liquid film on a chemically patterned solid substrate (template) by means of a thin-film evolution equation incorporating a space-dependent disjoining pressure. Dewetting of a thin film on a homogeneous substrate leads to fluid patterns with a typical length scale, that increases monotonously in time (coarsening). Conditions are identified for the amplitude and periodicity of the heterogeneity that allow to transfer the template pattern onto the liquid structure ("pinning") emerging from the dewetting process. A bifurcation and stability analysis of the possible liquid ridge solutions on a periodically striped substrate reveal parameter ranges where pinning or coarsening ultimately prevail. We obtain an extended parameter range of multistability of the pinning and coarsening morphologies. In this regime, the selected pattern depends sensitively on the initial conditions and potential finite perturbations (noise) in the system as we illustrate with numerical integrations in time. Finally, we discuss the instability to transversal modes leading to a decay of the ridges into rows of drops and show that it may diminish the size of the parameter range where the pinning of the thin film to the template is successful.
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Affiliation(s)
- U Thiele
- Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, D-01187, Dresden, Germany.
| | - L Brusch
- Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, D-01187, Dresden, Germany
| | - M Bestehorn
- Lehrstuhl für Statistische Physik und Nichtlineare Dynamik, BTU-Cottbus, Erich-Weinert-Strasse 1, D-03046 Cottbus, Germany
| | - M Bär
- Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, D-01187, Dresden, Germany
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Thiele U, Velarde MG, Neuffer K, Bestehorn M, Pomeau Y. Sliding drops in the diffuse interface model coupled to hydrodynamics. Phys Rev E Stat Nonlin Soft Matter Phys 2001; 64:061601. [PMID: 11736194 DOI: 10.1103/physreve.64.061601] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/08/2001] [Revised: 08/28/2001] [Indexed: 05/23/2023]
Abstract
Using a film thickness evolution equation derived recently combining long-wave approximation and diffuse interface theory [L. M. Pismen and Y. Pomeau, Phys. Rev. E 62, 2480 (2000)] we study one-dimensional surface profiles for a thin film on an inclined plane. We discuss stationary flat film and periodic solutions including their linear stability. Flat sliding drops are identified as universal profiles, whose main properties do not depend on mean film thickness. The flat drops are analyzed in detail, especially how their velocity, advancing and receding dynamic contact angles and plateau thicknesses depend on the inclination of the plane. A study of nonuniversal drops shows the existence of a dynamical wetting transition with hysteresis between droplike solutions and a flat film with small amplitude nonlinear waves.
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Affiliation(s)
- U Thiele
- Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, 28040 Madrid, Spain
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Abstract
We examine the fully nonlinear behavior of a thin liquid film in three spatial dimension for a large lateral extension. A partial differential equation is used for the spatiotemporal evolution of the height of the film. To take intermolecular forces in the liquid into account, we concentrate on a recently formulated model of Pismen and Pomeau, who derived an expression for the disjoining pressure only from the wetting properties of the fluid. Finally, the motion of a falling film on an inclined plane is studied within this model.
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Affiliation(s)
- M Bestehorn
- Lehrstuhl für Theoretische Physik II, Brandenburgische Technische Universität Cottbus, Erich-Weinert-Strasse 1, 03046 Cottbus, Germany.
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Bestehorn M. Two-layer model showing a variety of pattern types near nonequilibrium phase transitions. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1996; 53:4842-4846. [PMID: 9964812 DOI: 10.1103/physreve.53.4842] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Thess A, Bestehorn M. Planform selection in Bénard-Marangoni convection: l hexagons versus g hexagons. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1995; 52:6358-6367. [PMID: 9964155 DOI: 10.1103/physreve.52.6358] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Millán-Rodríguez J, Bestehorn M, Pérez-García C, Friedrich R, Neufeld M. Defect Motion in Rotating Fluids. Phys Rev Lett 1995; 74:530-533. [PMID: 10058781 DOI: 10.1103/physrevlett.74.530] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Bestehorn M, Neufeld M, Friedrich R, Haken H. Comment on "Spiral-pattern formation in Rayleigh-Bénard convection". Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1994; 50:625-626. [PMID: 9962013 DOI: 10.1103/physreve.50.625] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Bestehorn M. Phase and amplitude instabilities for Bénard-Marangoni convection in fluid layers with large aspect ratio. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1993; 48:3622-3634. [PMID: 9961019 DOI: 10.1103/physreve.48.3622] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/05/2023]
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Rodríguez JM, Pérez-García C, Bestehorn M, Fantz M, Friedrich R. Pattern formation in convection of rotating fluids with broken vertical symmetry. Phys Rev A 1992; 46:4729-4735. [PMID: 9908691 DOI: 10.1103/physreva.46.4729] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Bestehorn M. [Market research study of stress ulcer prevention]. Z Gastroenterol 1991; 29 Suppl 1:45-51. [PMID: 1962501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [MESH Headings] [Subscribe] [Scholar Register] [Indexed: 12/29/2022]
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