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Phase field crystal (PFC) models constitute a field theoretical approach to solidification, melting and related phenomena at atomic length and diffusive time scales. One of the advantages of these models is that they naturally contain…

Materials Science · Physics 2015-06-18 V. Heinonen , C. V. Achim , K. R. Elder , S. Buyukdagli , T. Ala-Nissila

In the dynamic diffusion limit of radiation hydrodynamics, advection dominates diffusion; the latter primarily affects small scales and has negligible impact on the large scale flow. The radiation can thus be accurately regarded as an ideal…

Astrophysics · Physics 2011-02-11 Bryan M. Johnson

A simple generalization of the Swift-Hohenberg equation is proposed as a model for the pattern-forming dynamics of a two-dimensional field with two unstable length scales. The equation is used to study the dynamics of surface waves in a…

Soft Condensed Matter · Physics 2009-10-30 Ron Lifshitz , Dean M. Petrich

Plasma sheaths driven by radio-frequency voltages occur frequently, in contexts ranging from plasma processing applications to magnetically confined fusion experiments. These sheaths are crucial because they dominantly affect impedance,…

Plasma Physics · Physics 2012-12-12 Miles M. Turner , Pascal Chabert

Excitable waves arise in many spatially-extended systems of either biological, chemical, or physical nature due to the interplay between local reaction and diffusion processes. Here we demonstrate that similar phenomena are encoded in the…

Pattern Formation and Solitons · Physics 2019-05-08 Francesco Marino , Giovanni Giacomelli

The phase field crystal (PFC) approach extends the notion of phase field models by describing the topology of the microscopic structure of a crystalline material. One of the consequences is that local variation of the interatomic distance…

Materials Science · Physics 2016-05-18 V. Heinonen , C. V. Achim , T. Ala-Nissila

We consider longwave mode of the interface instability in the system comprising of two immiscible fluid layers. The fluids fill out plane horizontal cavity which is subjected to horizontal harmonic vibration. The analysis is performed…

patt-sol · Physics 2007-05-23 Mikhail V. Khenner , Dmitrii V. Lyubimov

A computational approach to describe the energy relaxation of a high-frequency vibrational mode in a fluctuating heterogeneous environment is outlined. Extending previous work [H. Fujisaki, Y. Zhang, and J.E. Straub, J. Chem. Phys. {\bf…

Chemical Physics · Physics 2009-11-13 Hiroshi Fujisaki , Gerhard Stock

The dynamics of phase-separated interfaces shape the behavior of both passive and active condensates. While surface tension in equilibrium systems minimizes interface length, non-equilibrium fluxes can destabilize flat or constantly curved…

Soft Condensed Matter · Physics 2025-05-27 Florian Raßhofer , Simon Bauer , Alexander Ziepke , Ivan Maryshev , Erwin Frey

We measure the free decay of a spatially periodic density profile in a normal fluid strongly interacting Fermi gas, which is confined in a box potential. This spatial profile is initially created in thermal equilibrium by a perturbing…

Quantum Gases · Physics 2022-03-04 Xin Wang , Xiang Li , Ilya Arakelyan , J. E. Thomas

Surface waves in a thin uniform metal film are described in terms of quantum electrodynamics.The interaction of surface waves with a quantum oscillator is discussed in the dipole approximation. The increase in the spontaneous emission rate…

Optics · Physics 2009-12-03 V. V. Lidsky

We study the effect of diluted flexible polymers on a disordered capillary wave state. The waves are generated at an interface of a dyed water sugar solution and a low viscous silicon oil. This allows for a quantitative measurement of the…

Fluid Dynamics · Physics 2009-11-11 A. V. Kityk , C. Wagner

A previously unreported regime of type III intermittency is observed in a vertically vibrated milliliter-sized liquid drop submerged in a more viscous and less dense immiscible fluid layer supported by a hydrophobic solid plate. As the…

Fluid Dynamics · Physics 2021-02-03 Andrey Pototsky , Ivan S. Maksymov , Sergey A. Suslov , Justin Leontini

We analyze synchronization of relaxation oscillations in multiple-timescale reaction-diffusion systems. Interpreting synchronization as convergence to frequency-synchronized wave-train solutions, we resolve for the first time the case of…

Analysis of PDEs · Mathematics 2026-01-12 Montie Avery , Paul Carter , Björn de Rijk , Arnd Scheel

Existing theoretical results for attenuation of surface waves propagating on water of random fluctuating depth are shown to over predict the rate of decay due to the way in which ensemble averaging is performed. A revised approach is…

Fluid Dynamics · Physics 2026-03-05 Lloyd Dafydd , Richard Porter

Dispersion relations and polarizations for surface waves in infinite planar samples in the QHE regime are explicitly determined in the small wavevector limit in which the dielectric tensor can be considered as local. The wavelength and…

Condensed Matter · Physics 2009-10-28 A. Cabo , A. Correa , R. Guevara , C. Rodriguez

Surface wave patterns are investigated experimentally in a system geometry that has become a paradigm of quantum chaos: the stadium billiard. Linear waves in bounded geometries for which classical ray trajectories are chaotic are known to…

Chaotic Dynamics · Physics 2009-10-31 A. Kudrolli , Mathew C. Abraham , J. P. Gollub

Regularizing effects of surface tension are studied for interfacial waves between a two-dimensional, infinitely-deep and irrotational flow of water and vacuum. The water wave problem under the influence of surface tension is formulated as a…

Analysis of PDEs · Mathematics 2012-10-02 Vera Mikyoung Hur

Optical tweezers setup is often used to probe the motion of individual tracer particle, which promotes the study of relaxation dynamics of a generic process confined in a harmonic potential. We uncover the dependence of ensemble- and…

Statistical Mechanics · Physics 2020-04-15 Xudong Wang , Yao Chen , Weihua Deng

The motion of a thin layer of granular material on a plate undergoing sinusoidal vibrations is considered. We develop equations of motion for the local thickness and the horizontal velocity of the layer. The driving comes from the violent…

patt-sol · Physics 2009-10-31 Jens Eggers , Hermann Riecke
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