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The roughness of fracture surfaces has been shown to exhibit self-affne scale invariance for a wide variety of materials and loading conditions. The range of scales over which this regime extends remains a matter of debate, together with…

统计力学 · 物理学 2015-05-14 F. Lechenault , G. Pallares , M. George , C. Rountree , E. Bouchaud , M. Ciccotti

A statistic based on increment ratios (IR) and related to zero crossings of increment sequence is defined and studied for measuring the roughness of random paths. The main advantages of this statistic are robustness to smooth additive and…

统计理论 · 数学 2010-07-26 Jean-Marc Bardet , Donatas Surgailis

The results obtained from molecular dynamics simulations of the friction at an interface between polymer melts and weakly attractive crystalline surfaces are reported. We consider a coarse-grained bead-spring model of linear chains with…

软凝聚态物质 · 物理学 2012-06-12 Nikolai V. Priezjev

The propagation of an adhesive crack through an anisotropic heterogeneous interface is considered. Tuning the local toughness distribution function and spatial correlation is numerically shown to induce a transition between weak to strong…

无序系统与神经网络 · 物理学 2014-02-18 Sylvain Patinet , Damien Vandembroucq , Stéphane Roux

The properties of tissue interfaces -- between separate populations of cells, or between a group of cells and its environment -- has attracted intense theoretical, computational, and experimental study. Recent work on shape-based models…

软凝聚态物质 · 物理学 2024-12-04 Haicen Yue , Charles R. Packard , Daniel M. Sussman

The phenomenon of arrest of an unstably-growing crack due to a curved weak interface is investigated. The weak interface can produce the deviation of the crack path, trapping the crack at the interface, leading to stable crack growth for…

材料科学 · 物理学 2020-09-15 M. T. Aranda , I. G. Garcia , J. Reinoso , V. Mantic , M. Paggi

Tracer diffusion and hydrodynamic dispersion in two-dimensional fractures with self-affine roughness is studied by analytic and numerical methods. Numerical simulations were performed via the lattice-Boltzmann approach, using a new boundary…

统计力学 · 物理学 2016-08-31 German Drazer , Joel Koplik

We study several probability distributions relevant to the avalanche dynamics of elastic interfaces driven on a random substrate: The distribution of size, duration, lateral extension or area, as well as velocities. Results from the…

无序系统与神经网络 · 物理学 2019-10-18 Alejandro B. Kolton , Pierre Le Doussal , Kay Joerg Wiese

Ecological networks such as plant-pollinator systems and food webs vary in space and time. This variability includes fluctuations in global network properties such as total number and intensity of interactions but also in the local…

定量方法 · 定量生物学 2022-12-23 Tancredi Caruso , Giulio Virginio Clemente , Matthias C Rillig , Diego Garlaschelli

Relaxation of initially out-of-equilibrium rough interfaces in presence of thermal noise is investigated using Langevin formalism. During thermal equilibration towards the well-known roughening regime, three scaling regimes observed over…

统计力学 · 物理学 2010-08-25 Thi Thu Thuy Nguyen , Daniel Bonamy , Laurent Phan Vam , Jacques Cousty , Luc Barbier

Discrete-time random walks and their extensions are common tools for analyzing animal movement data. In these analyses, resolution of temporal discretization is a critical feature. Ideally, a model both mirrors the relevant temporal scale…

定量方法 · 定量生物学 2015-08-27 Ulrike E. Schlägel , Mark A. Lewis

Stress vs. strain fluctuations in athermal amorphous solids are an example of `crackling noise' of the type studied extensively in the context of elastic membranes moving through random potentials. Contrary to the latter, we do not have a…

统计力学 · 物理学 2010-10-07 Edan Lerner , Itamar Procaccia

Using a multi-resolution technique, we analyze large in-plane fracture fronts moving slowly between two sintered Plexiglas plates. We find that the roughness of the front exhibits two distinct regimes separated by a crossover length scale…

We study the statistics of quantum transmission through a one-dimensional disordered system modelled by a sequence of independent scattering units. Each unit is characterized by its length and by its action, which is proportional to the…

统计力学 · 物理学 2007-11-06 D. Boose , J. M. Luck

Understanding the role played by the microstructure of materials on their macroscopic failure properties is an important challenge in solid mechanics. Indeed, when a crack propagates at a heterogeneous brittle interface, the front is…

材料科学 · 物理学 2015-11-09 Sylvain Patinet , L Alzate , E Barthel , D Dalmas , D Vandembroucq , V Lazarus

In this presentation we review the link between the statistics of intensity fluctuations in spectral line data cubes with underlying statistical properties of turbulence in the interstellar medium. Both the formalism of Velocity Channel…

天体物理学 · 物理学 2009-11-11 Dmitri Pogosyan , Alex Lazarian

The acoustic mismatch model and the diffuse mismatch model have been widely used to predict the thermal interface conductance. However, the acoustic mismatch model (diffuse mismatch model) is based on the hypothesis of a perfectly smooth…

介观与纳米尺度物理 · 物理学 2018-12-10 Yingying Zhang , Dengke Ma , Yi Zang , Nuo Yang

We study the sample size dependence of the strength of disordered materials with a flaw, by numerical simulations of lattice models for fracture. We find a crossover between a regime controlled by the fluctuations due to disorder and…

材料科学 · 物理学 2009-11-13 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

Robust estimators and different filtering techniques are proposed and their impact on the determination of a wide range of turbulence quantities is analysed. High-frequency water level measurements in a stepped spillway are used as a case…

流体动力学 · 物理学 2023-07-13 Daniel Valero , Hubert Chanson , Daniel B. Bung

The failure of roughness parameters to predict surface properties stems from their inherent scale-dependence; in other words, the measured value depends on the way it was measured. Here we take advantage of this scale-dependence to develop…

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