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Maxima of the scalar dissipation rate in turbulence appear in form of sheets and correspond to the potentially most intensive scalar mixing events. Their cross-section extension determines a locally varying diffusion scale of the mixing…

Chaotic Dynamics · Physics 2007-05-23 Dan Kushnir , Joerg Schumacher , Achi Brandt

We make remarks on Sofos {\it et al.}'s [{\it Phys. Rev. E} 79, 026305 (2009)] paper. The focus is about the monotonicity of the slip length of which it is different from previous similar numerical simulation. We also offer a possible…

General Physics · Physics 2009-09-04 Zotin K. -H. Chu

Language models famously improve under a smooth scaling law, but some specific capabilities exhibit sudden breakthroughs in performance. Advocates of "emergence" view these capabilities as unlocked at a specific scale, but others attribute…

Machine Learning · Computer Science 2026-02-19 Rosie Zhao , Tian Qin , David Alvarez-Melis , Sham Kakade , Naomi Saphra

This expository note aims at illustrating weak convergence of probability measures from a broader view than a previously published paper. Though the results are standard for functional analysts, this approach is rarely known by…

Probability · Mathematics 2014-10-06 Liang Hong

The fragmentation of liquid sheets produces a collection of droplets. The size distribution of the droplets has a considerable impact on the coating efficiency of sprays and the transport of contaminants. Although many processes commonly…

Fluid Dynamics · Physics 2020-04-29 Pascal S. Raux , Anthony Troger , Pierre Jop , Alban Sauret

Classic measures of graph centrality capture distinct aspects of node importance, from the local (e.g., degree) to the global (e.g., closeness). Here we exploit the connection between diffusion and geometry to introduce a multiscale…

Physics and Society · Physics 2020-07-29 Alexis Arnaudon , Robert L. Peach , Mauricio Barahona

The rheological characterisation of complex fluids is mostly performed under simple shear flow in rotational rheometers. Their modern commercial versions are extremely sensitive instruments which are able to provide very accurate…

Fluid Dynamics · Physics 2021-03-05 Ahmad Fakhari , Francisco J. Galindo-Rosales

This paper is concerned with the quasi-static rheology of packings of glass spheres of diameter d (d=0.2mm, 0.7mm or 3mm). Stick-slip behaviour is observed on small spheres, i.e d=0.2mm & 0.7mm ; one observes also in this case a weakening…

Soft Condensed Matter · Physics 2007-05-23 F. Adjemian , P. Evesque

Experimental mean flows are commonly used to study wall-bounded turbulence. However, these measurements are often unable to resolve the near-wall region and thus introduce ambiguity in the velocity closest to the wall. This poses a source…

Fluid Dynamics · Physics 2025-11-04 Salvador Rey Gomez , Tomek Jaroslawski

This paper presents the analysis and characterization of the surface scattering process for both specular and diffused components. The study is focused on the investigation of various building materials each having a different roughness, at…

Signal Processing · Electrical Eng. & Systems 2017-10-17 Angelos A. Goulianos , Alberto L. Freire , Tom Barratt , Evangelos Mellios , Peter Cain , Moray Rumney , Andrew Nix , Mark Beach

Progress in the research area of colloidal dispersions in external fields within the last years is reviewed. Colloidal dispersions play a pivotal role as model systems for phase transitions in classical statistical mechanics. In recent…

Soft Condensed Matter · Physics 2013-11-26 Hartmut Löwen

We experimentally and computationally analyze impact-shock-induced stress wave propagation in packings of disordered flexible fibers. We find that dispersive wave propagation, associated with large stress attenuation, occurs much more…

Soft Condensed Matter · Physics 2025-02-04 Peng Wang , Thomas Pähtz , Kun Luo , Yu Guo

It has been known for years how random height variations of a repeated nano-scale structure can give rise to smooth angular color variations instead of the well-known diffraction pattern experienced if no randomization is present. However,…

Optics · Physics 2014-10-27 Villads Egede Johansen

Nonlinearity in many systems is heavily dependent on component variation and environmental factors such as temperature. This is often overcome by keeping signals close enough to the device's operating point that it appears approximately…

Signal Processing · Electrical Eng. & Systems 2022-05-18 Lachlan J. Gunn , Andrew Allison , Derek Abbott

To understand and explain process behaviour we need to be able to see it, and decide its significance, i.e. be able to tell a story about its behaviours. This paper describes a few of the modelling challenges that underlie monitoring and…

Multiagent Systems · Computer Science 2019-07-26 Mark Burgess

Random deposition model with surface diffusion over several next nearest neighbours is studied. The results agree with the results obtained by Family for the case of nearest neighbour diffusion [F. Family, J. Phys. A 19(8), L441, 1986].…

Soft Condensed Matter · Physics 2008-05-07 Baisakhi Mal , Subhankar Ray , J. Shamanna

The scattering of waves by obstacles in a 2D setting is considered, in particular the computation of the scattered field via the collocation or the least-squares methods. In the case of multiple scattering by smooth obstacles, we prove that…

Numerical Analysis · Mathematics 2014-01-15 Gilles Chardon

Thousands of experiments are analyzed and papers are published each year involving the statistical analysis of grouped data. While this area of statistics is often perceived -- somewhat naively -- as saturated, several misconceptions still…

Methodology · Statistics 2026-02-02 Sara Algeri , Estate V. Khmaladze

Robust Bayesian analysis has been mainly devoted to detecting and measuring robustness w.r.t. the prior distribution. Many contributions in the literature aim to define suitable classes of priors which allow the computation of variations of…

Statistics Theory · Mathematics 2025-09-04 Antonio Di Noia , Fabrizio Ruggeri , Antonietta Mira

A theoretical description of the phenomenon of modulation of near-wall turbulence by large scale structures is investigated. The description given is simple in that the effect of large-scale structures is limited to a quasi-steady response…

Fluid Dynamics · Physics 2012-03-19 Sergei I. Chernyshenko , Ivan Marusic , Romain Mathis
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