Michael Bestehorn

Brandenburg University of Technology Cottbus-Senftenberg

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Rodica Borcia

Brandenburg University of Technology Cottbus-Senftenberg

Ion Dan Borcia

Brandenburg University of Technology Cottbus-Senftenberg

Hermann Haken

University of Stuttgart

R. Friedrich

University of Münster

C. Pérez‐García

Universitat Autònoma de Barcelona

Thomas M. Michelitsch

Sorbonne Université

Andrey Pototsky

Swinburne University of Technology

Domnic Merkt

Brandenburg University of Technology Cottbus-Senftenberg

Olga Varlamova

Saint Petersburg State Pediatric Medical University

Uwe Harlander

Brandenburg University of Technology Cottbus-Senftenberg

Cooperative Institutions

Brandenburg University of Technology Cottbus-Senftenberg

Centre National de la Recherche Scientifique

University of Stuttgart

Université Libre de Bruxelles

Brandenburg University of Applied Sciences

Max Planck Society

Siemens (Germany)

TU Dresden

Carl-Thiem-Klinikum Cottbus

Universidad de Navarra

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Das zweidimensionale Ising-Modell

Physik Online (2018)

Michael Bestehorn

10.1515/physiko.17.170

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Alternative Diskretisierungsverfahren: Chebyshev-Spektralmethode

Physik Online (2018)

Michael Bestehorn

10.1515/physiko.17.118

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Spatiotemporal structures in a model with delay and diffusion

Physical Review E (2004)

Michael Bestehorn Elena V. Grigorieva S. A. Kaschenko

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.

Pattern Formation

Basis (linear algebra)

Anomalous Diffusion

10.1103/physreve.70.026202

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PINNING EFFECTS IN PATTERN FORMATION

C. Pérez‐García H. Herrero J. Millán-Rodríguez Michael Bestehorn

10.1142/9789814503877_0027

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Phase field modeling in liquid binary mixtures: Isothermal and nonisothermal problems

Physical Review Fluids (2022)

Rodica Borcia Ion Dan Borcia Michael Bestehorn Deewakar Sharma Sakir Amiroudine

Based on the conservative phase field model of Lowengrub and Truskinovsky for almost incompressible liquid binary mixtures, we propose an extended scheme for studying immiscible/miscible liquids. Below a critical temperature ${T}_{c}$, the liquids are immiscible with separating interfaces. Above ${T}_{c}$ interfacial effects vanish and the liquids become perfectly miscible. The free energy density of the system depends not only on the system composition through the phase field $\ensuremath{\phi}$ but also on the reduced temperature $r=({T}_{c}\ensuremath{-}T)/{T}_{c}$. The free energy transforms through ${T}_{c}$ to permit a two-phase system in the subcritical (immiscible) regime and a mono phase in the supercritical (miscible) regime.

Isothermal process

Liquid liquid

10.1103/physrevfluids.7.064005

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Lösungen der Aufgaben zur Standardabbildung

Physik Online (2018)

Michael Bestehorn

10.1515/physiko.17.185

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Quantenmechanik in einer Dimension: Stationäre Zweiteilchengleichung

Physik Online (2018)

Michael Bestehorn

10.1515/physiko.17.129

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Associative memory of a dynamical system: the example of the convection instability

Zeitschrift für Physik B Condensed Matter (1991)

Michael Bestehorn Hermann Haken

Associative property

10.1007/bf01324341

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Effect of permeability anisotropy on buoyancy‐driven flow for CO₂ sequestration in saline aquifers

Water Resources Research (2012)

Philip C. Myint Michael Bestehorn Abbas Firoozabadi

Solubility trapping of carbon dioxide (CO 2 ) in deep saline aquifers is considered one of the most effective methods for carbon sequestration. Dissolution of CO 2 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, CO 2 ‐dissolved fluid. Many natural aquifer formations display considerable permeability anisotropy, where the horizontal permeability k h may be several times greater than the vertical permeability k z . It has been previously found that increasing k h for a fixed k z reduces the critical time t c at which onset occurs and the critical wavelength λ c with which the fingers initially form. We extend earlier work by showing how and why this occurs. Our results reveal new insights about λ c . We have studied the behavior for times greater than t c 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.

Convective mixing

10.1029/2012wr011939

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Thermische Konvektion bei quadratischer Geometrie: Grundgleichungen

Physik Online (2018)

Michael Bestehorn

10.1515/physiko.17.142

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