Dynamics of Wetting Fronts in Porous MediaWe propose a new phenomenological approach for describing the dynamics of wetting front propagation in porous media. Unlike traditional models, the proposed approach is based on dynamic nature of the…Igor Mitkov, Daniel M. Tartakovsky, C. Larrabee Winter·Sep 4, 1998SaveLearn
Higher order Shapiro steps in ac-driven Josephson junctionsWe demonstrate that the well known phase-locking mechanism leading to Shapiro steps in ac-driven Josephson junctions is always accompanied by a higher order phase-locking mechanism similar to that of…Kim O. Rasmussen, Vadim Zharnitsky, Igor Mitkov et al.·Sep 2, 1998SaveLearn
Tunable Pinning of Burst-Waves in Extended Systems with Discrete SourcesWe study the dynamics of waves in a system of diffusively coupled discrete nonlinear sources. We show that the system exhibits burst waves which are periodic in a traveling-wave reference frame. We…Igor Mitkov, Konstantin Kladko, John E. Pearson·Sep 1, 1998SaveLearn
Emergence of Order in Textured PatternsA characterization of textured patterns, referred to as the disorder function δ(β), is used to study properties of patterns generated in the Swift-Hohenberg equation (SHE). It is shown to be an…G. H. Gunaratne, A. Ratnaweera, K. Tennekone·Sep 1, 1998SaveLearn
Two boundary model for freezing front propagation in biological tissueThe response of the living tissue to the effects of strong heating or cooling can cause the blood flow rate to vary by an order of magnitude. A mathematical model for the freezing of living tissue is…Vasyl Gafiychuk, Ihor Lubashevsky, Roman Andrushkiw·Aug 24, 1998SaveLearn
Power-Law Behaviors in Nonlinearly Coupled Granular Chain under GravityWe find power-law behaviors of grain velocity in both propagation and backscattering in a gravitationally compacted granular chain with nonlinear contact force. We focus on the leading peak of the…Jongbae Hong, Heekyong Kim·Aug 21, 1998SaveLearn
Solitonic GluonsWe describe a physical mechanism for creating multi-soliton bound states where solitons are glued together by attraction between the beams they guide, `solitonic gluons'. We verify the concept of…Elena A. Ostrovskaya, Yuri S. Kivshar, Zhigang Chen et al.·Aug 19, 1998SaveLearn
Dynamics of kinks in the Ginzburg-Landau equation: Approach to a metastable shape and collapse of embedded pairs of kinksWe consider initial data for the real Ginzburg-Landau equation having two widely separated zeros. We require these initial conditions to be locally close to a stationary solution (the…J. Rougemont·Aug 18, 1998SaveLearn
Nonlinear theory of soliton-induced waveguidesWe develop a nonlinear theory of soliton-induced waveguides that describes a finite-amplitude probe beam guided by a spatial dark soliton in a saturable nonlinear medium. We suggest an effective way…Elena A. Ostrovskaya, Yuri S. Kivshar·Aug 18, 1998SaveLearn
Theory of Spike Spiral Waves in a Reaction-Diffusion SystemWe discovered a new type of spiral wave solutions in reaction-diffusion systems --- spike spiral wave, which significantly differs from spiral waves observed in FitzHugh-Nagumo-type models. We…C. B. Muratov, V. V. Osipov·Aug 11, 1998SaveLearn
Dynamics and Selection of Giant Spirals in Rayleigh-Benard ConvectionFor Rayleigh-Benard convection of a fluid with Prandtl number σ≈ 1, we report experimental and theoretical results on a pattern selection mechanism for cell-filling, giant, rotating spirals. We…Brendan B. Plapp, David A. Egolf, Eberhard Bodenschatz et al.·Aug 7, 1998SaveLearn
On the degenerated soft-mode instabilityWe consider instabilities of a single mode with finite wavenumber in inversion symmetric spatially one dimensional systems, where the character of the bifurcation changes from sub- to supercritical…Wolfram Just, Frank Matthäus, Herwig Sauermann·Aug 6, 1998SaveLearn
Dynamical Scaling Behavior of the Swift-Hohenberg Equation Following a Quench to the Modulated StateWe study the kinetics of phase transitions in a Rayleigh-Benard system after onset of convection using 2D Swift-Hohenberg equation. An initially uniform state evolves to one whose ground state is…Qing Hou, Shin-ichi Sasa, Nigel Goldenfeld·Aug 3, 1998SaveLearn
Simple and Superlattice Turing Patterns in Reaction-Diffusion Systems: Bifurcation, Bistability, and Parameter CollapseThis paper investigates the competition between both simple (e.g. stripes, hexagons) and ``superlattice'' (super squares, super hexagons) Turing patterns in two-component reaction-diffusion…Stephen L. Judd, Mary Silber·Jul 14, 1998SaveLearn
Benard-Marangoni Convection in Two Layered LiquidsWe describe experiments on Bénard-Marangoni convection in horizontal layers of two immiscible liquids. Unlike previous experiments, which used gases as the upper fluid, we find a square planform…Wayne A. Tokaruk, T. C. A. Molteno, Stephen W. Morris·Jun 30, 1998SaveLearn
Numerical Bifurcation Diagram for the Two-Dimensional Boundary-fed CDIMA SystemWe present numerical solution of the chlorine dioxide-iodine-malonic acid reaction-diffusion system in two dimensions in a boundary-fed system using a realistic model. The bifurcation diagram for the…S. Setayeshgar, M. C. Cross·Jun 19, 1998SaveLearn
Turing Instability in a Boundary-fed SystemThe formation of localized structures in the chlorine dioxide-idodine-malonic acid (CDIMA) reaction-diffusion system is investigated numerically using a realistic model of this system. We analyze the…S. Setayeshgar, M. C. Cross·Jun 19, 1998SaveLearn
Electrically driven convection in a thin annular film undergoing circular Couette flowWe investigate the linear stability of a thin, suspended, annular film of conducting fluid with a voltage difference applied between its inner and outer edges. For a sufficiently large voltage, such…Zahir A. Daya, V. B. Deyirmenjian, Stephen W. Morris·Jun 12, 1998SaveLearn
Secondary instabilities form a codimension-2 point accompanied by a homoclinic bifurcationA study of secondary instabilities in ac-driven electroconvection of a planarly aligned nematic liquid crystal is presented. At low frequencies one has a transition from normal rolls to a zig-zag…S. Rudroff, H. Zhao, L. Kramer et al.·Jun 12, 1998SaveLearn
Velocity correlations in granular materialsA system of inelastic hard disks in a thin pipe capped by hot walls is studied with the aim of investigating velocity correlations between particles. Two effects lead to such correlations: inelastic…Tong Zhou·Jun 8, 1998SaveLearn
Parametrically excited surface waves in magnetic fluids: observation of domain structuresObservations of parametrically excited surface waves in a magnetic fluid are presented. Under the influence of a magnetic field these waves have a non--monotonic dispersion relation, which leads to a…Thomas Mahr, Ingo Rehberg·May 29, 1998SaveLearn
Magnetic Faraday-InstabilityIn a magnetic fluid parametrically driven surface waves can be excited by an external oscillating magnetic field. A static magnetic field changes the restoring forces and damping coefficients of the…Thomas Mahr, Ingo Rehberg·May 29, 1998SaveLearn
Rayleigh-Bénard convection in a homeotropically aligned nematic liquid crystalWe report experimental results for convection near onset in a thin layer of a homeotropically aligned nematic liquid crystal heated from below as a function of the temperature difference ΔT and the…Leif Thomas, Werner Pesch, Guenter Ahlers·May 27, 1998SaveLearn
Boundary Limitation of Wavenumbers in Taylor-Vortex FlowWe report experimental results for a boundary-mediated wavenumber-adjustment mechanism and for a boundary-limited wavenumber-band of Taylor-vortex flow (TVF). The system consists of fluid contained…Marcus Linek, Guenter Ahlers·May 27, 1998SaveLearn
Phase instabilities in hexagonal patternsThe general form of the amplitude equations for a hexagonal pattern including spatial terms is discussed. At the lowest order we obtain the phase equation for such patterns. The general expression of…B. Echebarria, C. Perez-Garcia·May 26, 1998SaveLearn