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Drag is one of the most important energy dissipation mechanisms in nature, including landslides and debris flows. To satisfactorily reproduce laboratory or field data in simulating landslides, often empirical relations or convenient…

地球物理 · 物理学 2026-04-29 Shiva P. Pudasaini

The partial correlation coefficient is a commonly used measure to assess the conditional dependence between two random variables. We provide a thorough explanation of the partial copula, which is a natural generalization of the partial…

统计方法学 · 统计学 2017-06-13 Fabian Spanhel , Malte S. Kurz

The dynamics of rapidly collapsing bubbles are of great interest due to the high degree of energy focusing that occurs withing the bubble. Molecular dynamics provides a way to model the interior of the bubble and couple the gas dynamics…

计算物理 · 物理学 2013-06-27 Spenser Bauman , Max Fomitchev-Zamilov

The coefficient of variation is a useful indicator for comparing the spread of values between dataset with different units or widely different means. In this paper we address the problem of investigating the equality of the coefficients of…

统计方法学 · 统计学 2023-06-06 Francesco Bertolino , Silvia Columbu , Mara Manca , Monica Musio

Predicting the outcome of sports events is a hard task. We quantify this difficulty with a coefficient that measures the distance between the observed final results of sports leagues and idealized perfectly balanced competitions in terms of…

机器学习 · 计算机科学 2017-11-27 Raquel YS Aoki , Renato M Assuncao , Pedro OS Vaz de Melo

We consider the blow-up sets and the upper blow-up rate estimates for two parabolic problems defined in a ball.

偏微分方程分析 · 数学 2012-11-29 Maan A. Rasheed , Miroslav Chlebik

Using the framework of factor models, we establish the general expression of the coefficient of tail dependence between the market and a stock (i.e., the probability that the stock incurs a large loss, assuming that the market has also…

统计力学 · 物理学 2008-12-10 Y. Malevergne , D. Sornette

The effect of burstiness in complex networks has received considerable attention. In particular, its effect on temporal distance and delays in the air transportation system is significant owing to their huge impact on our society.…

物理与社会 · 物理学 2017-02-08 Hidetaka Ito , Katsuhiro Nishinari

An analytical expression of the coefficient of restitution for viscoelastic materials is derived for the viscous-dominant case, such as collisions of polymeric melt. The recently proposed normal impact force model between two colliding…

软凝聚态物质 · 物理学 2015-06-17 Sangrak Kim

The fact that we rarely directly observe much quantum uncertainty is often attributed to decoherence. However, decoherence does not reduce the quantum uncertainty in the full quantum state. Whether or not it reduces the quantum…

量子物理 · 物理学 2021-09-10 Don N. Page

This paper analyzes effects of time-dependence in the Bell inequality. A generalized inequality is derived for the case when coincidence and non-coincidence [and hence whether or not a pair contributes to the actual data] is controlled by…

量子物理 · 物理学 2022-03-16 Jan-Åke Larsson , Richard Gill

In almost every scientific field, an experiment involves collecting data and then analysing it. The analysis stage will often consist in trying to extract some physical parameter and estimating its uncertainty; this is known as Parameter…

数据分析、统计与概率 · 物理学 2015-06-12 Louis Lyons

By example of a particle interacting with ideal gas, it is shown that statistics of collisions in statistical mechanics at any degree of the gas rarefaction qualitatively differs from that conjugated with Boltzmann's hypothetical molecular…

统计力学 · 物理学 2015-12-16 Yu. E. Kuzovlev

A system of three particles undergoing inelastic collisions in arbitrary spatial dimensions is studied with the aim of establishing the domain of ``inelastic collapse''---an infinite number of collisions which take place in a finite time.…

mtrl-th · 物理学 2009-10-30 Tong Zhou , Leo Kadanoff

We study the statistics of the horizontal component of atmospheric boundary layer wind speed. Motivated by its non-stationarity, we investigate which parameters remain constant or can be regarded as being piece-wise constant and explain how…

数据分析、统计与概率 · 物理学 2008-11-21 T. Laubrich , F. Ghasemi , J. Peinke , H. Kantz

The dynamics of particles in turbulence when the particle-size is larger than the dissipative scale of the carrier flow is studied. Recent experiments have highlighted signatures of particles finiteness on their statistical properties,…

Chaos is widely understood as being a consequence of sensitive dependence upon initial conditions. This is the result of an instability in phase space, which separates trajectories exponentially. Here, we demonstrate that this criterion…

混沌动力学 · 物理学 2017-06-28 Marc Pradas , Alain Pumir , Greg Huber , Michael Wilkinson

A set of simulations concerning the influence of internal energy on the stability of relativistic jets is presented. Results show that perturbations saturate when the amplitude of the velocity perturbation approaches the speed of light…

天体物理学 · 物理学 2007-05-23 Manuel Perucho , Michal Hanasz , Jose Maria Marti , Helene Sol

We investigate (in)stabilities of periodic patterns under stochastic forcing in reaction-diffusion equations exhibiting a so-called Busse balloon. Specifically, we used a one-dimensional Klausmeier model for dryland vegetation patterns.…

偏微分方程分析 · 数学 2024-12-23 Christian Hamster , Peter van Heijster , Eric Siero

The bubble wall velocity is essential for the phase transition dynamics in the early universe and its cosmological implications, such as the energy budget of phase transition gravitational wave and electroweak baryogenesis. One key factor…

高能物理 - 唯象学 · 物理学 2020-11-26 Xiao Wang , Fa Peng Huang , Xinmin Zhang