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The nonlinear Schr\"odinger equation is widely used as an approximate model for the evolution in time of the water wave envelope. In the context of simulating ocean waves, initial conditions are typically generated from a measured power…

Analysis of PDEs · Mathematics 2023-12-19 Agissilaos G. Athanassoulis , Irene Kyza

We introduce a phenomenological, physically motivated, model for the effective tidal deformability of a neutron star, adding the frequency dependence (associated with the star's fundamental mode of oscillation) that comes into play during…

General Relativity and Quantum Cosmology · Physics 2021-02-09 N. Andersson , P. Pnigouras

We study analytically and numerically a frequency downshifting due to power-type frequency-dependent decay of surface waves in the ocean covered by ice floes. The downshifting is obtained both within the linear model and within the…

Geophysics · Physics 2024-02-05 A. V. Slunyaev , Y. A. Stepanyants

In empirical studies of random walks, continuous trajectories of animals or individuals are usually sampled over a finite number of points in space and time. It is however unclear how this partial observation affects the measured…

Physics and Society · Physics 2018-03-13 Riccardo Gallotti , Rémi Louf , Jean-Marc Luck , Marc Barthelemy

We study the slippage on hierarchical fractal superhydrophobic surfaces, and find an unexpected rich behavior for hydrodynamic friction on these surfaces. We develop a scaling law approach for the effective slip length, which is validated…

Soft Condensed Matter · Physics 2015-06-03 C. Cottin-Bizonne , C. Barentin , L. Bocquet

We show that the constant time lag prescription for tidal dissipation follows directly from the equations of motion of a tidally-forced viscous fluid body, given some basic assumptions. They are (i) dissipation results from a viscous force…

Earth and Planetary Astrophysics · Physics 2012-10-15 Aristotle Socrates , Boaz Katz

Gravitational waves (GWs) from inspiralling neutron stars afford us a unique opportunity to infer the as-of-yet unknown equation of state of cold hadronic matter at supranuclear densities. During the inspiral, the dominant matter effects…

High Energy Astrophysical Phenomena · Physics 2022-09-28 Geraint Pratten , Patricia Schmidt , Natalie Williams

We report the analysis of the statistics of the phase fluctuations in the coda of earthquakes recorded during a temporary experiment deployed at Pinyon Flats Observatory, California. The practical measurement of the phase is discussed and…

Geophysics · Physics 2015-05-13 D. Anache-Ménier , L. Margerin , B. A. van Tiggelen

The statistics of critical wave functions at the Anderson transition in three and four dimensions are studied numerically. The distribution of the inverse participation ratios (IPR) $P_q$ is shown to acquire a scale-invariant form in the…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. Mildenberger , F. Evers , A. D. Mirlin

We show how statistical thermodynamics can be formulated in situations in which thermodynamics applies, while equilibrium statistical mechanics does not. A typical case is, in the words of Landau and Lifshitz, that of partial (or…

Statistical Mechanics · Physics 2013-04-16 A. Carati , A. Maiocchi , L. Galgani

Planetary systems evolve over secular time scales. One of the key mechanisms that drive this evolution is tidal dissipation. Submitted to tides, stellar and planetary fluid layers do not behave like rocky ones. Indeed, they are the place of…

Earth and Planetary Astrophysics · Physics 2015-10-05 Pierre Auclair-Desrotour , Stéphane Mathis , Christophe Le Poncin-Lafitte

We report on measurements of the transverse fluctuations of a string in a turbulent air jet flow. Harmonic modes are excited by the fluctuating drag force, at different wave-numbers. This simple mechanical probe makes it possible to measure…

Statistical Mechanics · Physics 2009-11-13 Vincent Grenard , Nicolas Garnier , Antoine Naert

We derive scaling laws for the steady spectrum of wind excited waves, assuming two inviscid fluids (air and water) and no surface tension, an approximation valid at large speeds. In this limit there exists an unique (small) dimensionless…

Fluid Dynamics · Physics 2010-03-16 Yves Pomeau Yves , Martine Le Berre

Taylor's law, also known as fluctuation scaling in physics and the power-law variance function in statistics, is an empirical pattern widely observed across fields including ecology, physics, finance, and epidemiology. It states that the…

Statistics Theory · Mathematics 2025-10-13 Pok Him Cheng , Joel E. Cohen , Hok Kan Ling , Sheung Chi Phillip Yam

Coherent filaments at the ocean surface often appear to be transient watermass boundaries, where currents converge, surfactants accumulate, and frontal structure at depth can possibly delineate enhanced biological activity in the upper…

Applications · Statistics 2023-02-09 Richard E. Danielson , Hui Shen , Jing Tao , William Perrie

We study small vibrations of a string with time-dependent length $\ell(t)$ and boundary damping. The vibrations are described by a 1-d wave equation in an interval with one moving endpoint at a speed $\ell'(t)$ slower than the speed of…

Analysis of PDEs · Mathematics 2023-11-16 Seyf Eddine Ghenimi , Abdelmouhcene Sengouga

The retarded Van der Waals force between a polarizable particle and a perfectly conducting plate is re-examined. The expression for this force given by Casimir and Polder represents a mean force, but there are large fluctuations around this…

Quantum Physics · Physics 2009-11-07 Chun-Hsien Wu , Chung-I Kuo , L. H. Ford

Some dynamical properties present in a problem concerning the acceleration of particles in a wave packet are studied. The dynamics of the model is described in terms of a two-dimensional area preserving map. We show that the phase space is…

Chaotic Dynamics · Physics 2011-09-14 Diego F. M. Oliveira , Marko Robnik , Edson D. Leonel

We present a method for converting a time record of turbulent velocity measured at a point in a flow to a spatial velocity record consisting of consecutive convection elements. The spatial record allows computation of dynamic statistical…

Fluid Dynamics · Physics 2019-06-18 Preben Buchhave , Clara M. Velte

This paper studies the daily connectivity time series of a wind speed-monitoring network using multifractal detrended fluctuation analysis. It investigates the long-range fluctuation and multifractality in the residuals of the connectivity…

Data Analysis, Statistics and Probability · Physics 2018-07-31 Mohamed Laib , Luciano Telesca , Mikhail Kanevski
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