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An important aspect of modeling spatially-referenced data is appropriately specifying the covariance function of the random field. A practitioner working with spatial data is presented a number of choices regarding the structure of the…

Methodology · Statistics 2015-11-06 Zachary D. Weller , Jennifer A. Hoeting

The cosmological principle asserts that the Universe is homogeneous and isotropic on large enough scales. However, alternative cosmological models can bring about anisotropies through local inhomogeneities, anisotropic evolution, or exotic…

We make precise the heretofore ambiguous statement that anisotropic stress is a sign of a modification of gravity. We show that in cosmological solutions of very general classes of models extending gravity --- all scalar-tensor theories…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-11 Ippocratis D. Saltas , Ignacy Sawicki , Luca Amendola , Martin Kunz

The bulk behaviour of granular materials is tied to its mesoscale and particle-scale features: strength properties arise from the buildup of various anisotropic structures at the particle-scale induced by grain connectivity (fabric), force…

Soft Condensed Matter · Physics 2024-09-25 Carmen L. Lee , Ephraim Bililign , Emilien Azéma , Karen E. Daniels

We report an experimental assessment of surface kinetic roughening properties that are anisotropic in space. Working for two specific instances of silicon surfaces irradiated by ion-beam sputtering under diverse conditions (with and without…

Materials Science · Physics 2015-06-11 Edoardo Vivo , Matteo Nicoli , Martin Engler , Thomas Michely , Luis Vázquez , Rodolfo Cuerno

The elastic behavior of materials is of critical importance for the design, fabrication, and testing of industrial and structural components. The ease with which the wave angle of incidence can be varied makes ultrasonic techniques well…

Materials Science · Physics 2026-04-14 Diego Cowes , Juan I. Mieza , MArtín P. Gómez

In high energy collisions of heavy-ions, experimental findings of collective flow are customarily associated with the presence of a thermalized medium expanding according to the laws of hydrodynamics. Recently, the ATLAS, CMS and ALICE…

Nuclear Theory · Physics 2016-08-24 M. Habich , G. A. Miller , P. Romatschke , W. Xiang

In this paper the relaxed micromorphic material model for anisotropic elasticity is used to describe the dynamical behavior of a band-gap metamaterial with tetragonal symmetry. Unlike other continuum models (Cauchy, Cosserat, second…

While $\beta$-Ga$_2$O$_3$ is considered a promising wide bandgap semiconductor, the impact of ion-induced defect formation and anisotropic elasticity remains poorly understood. Here, we combine a simulation and experiment X-ray diffraction…

The Gr\"uneisen parameter ({\gamma}) is crucial for determining many thermal properties, including the anharmonic effect, thermostatistics, and equation of state (EOS) of materials. However, the isentropic adiabatic compression conditions…

Materials Science · Physics 2023-12-22 Jun Kong , Kaiyuan Shi , Xingbang Dong , Xiao Dong , Xin Zhang , Jiaqing Zhang , Lei Su , Guoqiang Yang

We investigate the conditions for the (in)stability of the isotropic pressure condition in collapsing spherically symmetric, dissipative fluid distributions. It is found that dissipative fluxes, and/or energy density inhomogeneities and/or…

General Relativity and Quantum Cosmology · Physics 2020-05-27 L. Herrera

We analyze the isotropic compaction of mixtures composed of rigid and deformable incompressible particles by the non-smooth contact dynamics approach (NSCD). The deformable bodies are simulated using a hyper-elastic neo-Hookean constitutive…

Soft Condensed Matter · Physics 2020-09-30 Manuel Cárdenas-Barrantes , David Cantor , Jonathan Barés , Mathieu Renouf , Emilien Azéma

We propose a new model to describe diffusion processes within active deformable media. Our general theoretical framework is based on physical and mathematical considerations, and it suggests to use diffusion tensors directly coupled to…

Tissues and Organs · Quantitative Biology 2021-03-03 Christian Cherubini , Simonetta Filippi , Alessio Gizzi , Ricardo Ruiz-Baier

Azimuthal distributions of charged particles and intermediate mass fragments emitted in Au+Au collisions at 600AMeV have been measured using the FOPI facility at GSI-Darmstadt. Data show a strong increase of the in-plane azimuthal…

Nuclear Experiment · Physics 2009-10-30 P. Crochet , F. Rami , R. Dona , the FOPI Collaboration

While isotropic in-plane swelling problems for thin elastic sheets have been studied extensively in recent years, many shape-programmable materials, including nematic solids and 3D-printed structures, are anisotropic, as are most industrial…

Soft Condensed Matter · Physics 2021-05-25 H. G. Wood , J. A. Hanna

This is the first paper of a series of three, reporting on numerical simulation studies of geometric and mechanical properties of static assemblies of spherical beads under an isotropic pressure. Frictionless systems assemble in the unique…

Disordered Systems and Neural Networks · Physics 2008-02-01 Ivana Agnolin , Jean-Noël Roux

In this paper we investigate numerically an instance of the problem of G-closure for two-dimensional periodic metamaterials. Specifically, we consider composites with isotropic homogenized elasticity tensor, obtained as a mixture of two…

Computational Physics · Physics 2019-09-18 Igor Ostanin , George Ovchinnikov , Davi Colli Tozoni , Denis Zorin

Compacted unsaturated swelling clay is often considered as a possible buffer material for deep nuclear waste disposal. An isotropic cell permitting simultaneous control of suction, temperature and pressure was used to study the…

Classical Physics · Physics 2008-02-12 Anh-Minh Tang , Yu-Jun Cui , Nathalie Barnel

A granular assembly composed of a collection of identical grains may pack under different microscopic configurations with microscopic features that are sensitive to the preparation history. A given configuration may also change in response…

Soft Condensed Matter · Physics 2009-11-10 A. P. F. Atman , P. Brunet , J. Geng , G. Reydellet , G. Combe , P. Claudin , R. P. Behringer , E. Clément

Using a numerical approach based on the coupling of the discrete and finite element methods, we explore the variation of the bulk modulus K of soft particle assemblies undergoing isotropic compression. As the assemblies densify under…