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Transversely isotropic (TI) media with the frequency-independent quality-factor elements (also called ``constant-$Q$'' transverse isotropy) are often used to describe attenuation anisotropy in sedimentary rocks. The attenuation coefficients…

Geophysics · Physics 2023-04-27 Qi Hao , Ilya Tsvankin

Several hypothesis testing methods have been proposed to validate the assumption of isotropy in spatial point patterns. A majority of these methods are characterised by an unknown distribution of the test statistic under the null hypothesis…

Methodology · Statistics 2025-04-09 Jakub J. Pypkowski , Adam M. Sykulski , James S. Martin

In the dilute limit Eshelby's inclusion theory captures the behavior of a wide range of systems and properties. However, because Eshelby's approach neglects interfacial stress, it breaks down in soft materials as the inclusion size…

Soft Condensed Matter · Physics 2016-03-22 Francesco Mancarella , Robert W. Style , John S. Wettlaufer

We use a continuous mesoscopic model to address the yielding properties of plastic composites, formed by a host material and inclusions with different elastic and/or plastic properties. We investigate the flow properties of the composed…

Statistical Mechanics · Physics 2020-05-06 E. A. Jagla

We discuss the scaling exponents characterizing the power-law behavior of the anisotropic components of correlation functions in turbulent systems with pressure. The anisotropic components are conveniently labeled by the angular momentum…

Chaotic Dynamics · Physics 2009-10-31 I. Arad , I. Procaccia

We introduce a general decomposition of the stress tensor for incompressible fluids in terms of its components on a tensorial basis adapted to the local flow conditions, which include extensional flows, simple shear flows, and any type of…

Fluid Dynamics · Physics 2018-04-30 Giulio G. Giusteri , Ryohei Seto

We test a subgrid-scale spectral model of rotating turbulent flows against direct numerical simulations. The particular case of Taylor-Green forcing at large scale is considered, a configuration that mimics the flow between two counter…

Fluid Dynamics · Physics 2008-12-11 J. Baerenzung , P. D. Mininni , A. Pouquet , H. Politano , Y. Ponty

We have studied the critical properties of the three-dimensional random anisotropy Heisenberg model by means of numerical simulations using the Parallel Tempering method. We have simulated the model with two different disorder…

Disordered Systems and Neural Networks · Physics 2022-10-12 J. J. Ruiz-Lorenzo , M. Dudka , Yu. Holovatch

Recent experimental results on the static or quasistatic response of granular materials have been interpreted to suggest the inapplicability of the traditional engineering approaches, which are based on elasto-plastic models (which are…

Soft Condensed Matter · Physics 2007-05-23 Chay Goldenberg , Isaac Goldhirsch

A method of modelling the three-dimensional microstructure of random isotropic two-phase materials is proposed. The information required to implement the technique can be obtained from two-dimensional images of the microstructure. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Anthony Roberts

In this paper we consider a fluid dynamic model which describes the atmospheric flow and we perform an asymptotic analysis for different time and length scales. In particular we will focus on the two following cases: when the Mach number…

Analysis of PDEs · Mathematics 2018-11-27 Donatella Donatelli

There is an increasing interest in the study of metamaterials and periodic materials across disciplines. These are anisotropic and their properties present directionality. For example, the wave speed depends on the propagation direction.…

Applied Physics · Physics 2023-07-06 Nicolás Guarín-Zapata , Camilo Valencia , Juan Gómez

Fracture mechanics is crucial for many fields of engineering, as precisely predicting failure of structures and parts is required for efficient designs. The simulation of failure processes is, from a mechanical and a numerical point of…

Materials Science · Physics 2022-06-15 Sebastian Pech , Markus Lukacevic , Josef Füssl

We analyze turbulent velocity signals measured by two probes in the atmosphere, both at the height of 35 meters but displaced by 40 cm nominally orthogonal to the mean wind. Choosing a suitable coordinate system with respect to that of the…

The generation of small-scale anisotropy in turbulent shearless mixing is numerically investigated. Data from direct numerical simulations at Taylor Reynolds' numbers between 45 and 150 show that there is not only a significant departure of…

Fluid Dynamics · Physics 2015-03-13 Daniela Tordella , Michele Iovieno

Molecular dynamics simulations and instantaneous normal mode (INM) analysis of a fluid with core-softened pair interactions and water-like liquid-state anomalies are performed to obtain an understanding of the relationship between…

Soft Condensed Matter · Physics 2015-05-18 Alan Barros de Oliveira , Evy A. Salcedo Torres , Charusita Chakravarty , Marcia C. Barbosa

Transition graphs capture the memory and sequential response of multistable media, by specifying their evolution under external driving. Microscopically, collections of bistable elements, or hysterons, provide a powerful model for these…

Soft Condensed Matter · Physics 2025-11-27 Margot H. Teunisse , Martin van Hecke

Entropy scaling is a powerful technique that has been used for predicting transport properties of pure components over a wide range of states. However, modeling mixture diffusion coefficients by entropy scaling is an unresolved task. We…

Chemical Physics · Physics 2026-04-03 Sebastian Schmitt , Hans Hasse , Simon Stephan

This work develops a low-dimensional nonlinear stochastic model of symmetry-breaking coherent structures from experimental measurements of a turbulent axisymmetric bluff body wake. Traditional model reduction methods decompose the field…

Fluid Dynamics · Physics 2021-05-31 Jared L. Callaham , Georgios Rigas , Jean-Christophe Loiseau , Steven L. Brunton

In these lectures I discuss long-scale properties of fluctuating polymerized membranes in the presence of network anisotropy and random heterogeneities. Amazingly, even infinitesimal amount of these seemingly innocuous but physically…

Soft Condensed Matter · Physics 2016-11-23 Leo Radzihovsky