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Concept

Microscopic scale

Publications associées (30)

A parabolic local problem with exponential decay of the resonance error for numerical homogenization

Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni

This paper aims at an accurate and efficient computation of effective quantities, e.g. the homogenized coefficients for approximating the solutions to partial differential equations with oscillatory coefficients. Typical multiscale methods are based on a m ...

WORLD SCIENTIFIC PUBL CO PTE LTD2021

Onset of sliding across scales: How the contact topography impacts frictional strength

Jean-François Molinari, Ramin Aghababaei, Fabian Barras

When two solids start rubbing together, frictional sliding initiates in the wake of slip fronts propagating along their surfaces in contact. This macroscopic rupture dynamics can be successfully mapped on the elastodynamics of a moving shear crack. However ...

AMER PHYSICAL SOC2021

Ultralong, complexly structured micro- and nanoscale metallic glasses and fibers

Grégoire Courtine, Fabien Sorin, Wei Yan, Inès Richard

The present invention and its embodiments propose a simple, unique, and scalable method for producing extremely long, highly uniform, and well-ordered micro- and nanoscale metallic glasses via thermal drawing the method comprising at least the steps of pre ...

2020

Microscopic Origin of Nonlocal Rheology in Dense Granular Materials

Johan Alexandre Philippe Gaume

We study the microscopic origin of nonlocality in dense granular media. Discrete element simulations reveal that macroscopic shear results from a balance between microscopic elementary rearrangements occurring in opposite directions. The effective macrosco ...

AMER PHYSICAL SOC2020

A Bayesian numerical homogenization method for elliptic multiscale inverse problems

Assyr Abdulle, Andrea Di Blasio

A new strategy based on numerical homogenization and Bayesian techniques for solving multiscale inverse problems is introduced. We consider a class of elliptic problems which vary at a microscopic scale, and we aim at recovering the highly oscillatory tens ...

2020

Self-Assembly of Microscopic Rods Due to Depletion Interaction

Ignacio Pagonabarraga Mora

In this article, using numerical simulations we investigate the self-assembly of rod-like particles in suspension due to depletion forces which naturally emerge due to the presence of smaller spherical depletant particles. We characterize the type of clust ...

2020

Solidity without inhomogeneity: perfectly homogeneous, weakly coupled, UV-complete solids

Angelo Esposito

Solid-like behavior at low energies and long distances is usually associated with the spontaneous breaking of spatial translations at microscopic scales, as in the case of a lattice of atoms. We exhibit three quantum field theories that are renormalizable, ...

Springer Nature2020

Biophysically detailed mathematical models of multiscale cardiac active mechanics

Alfio Quarteroni, Francesco Regazzoni

Author summary Computer-based numerical simulations of the heart are increasingly assuming a recognized role in the context of computational medicine and cardiology. They are based on mathematical models describing the different physical phenomena occurrin ...

2020

The Devil is in the Detail: A Framework for Macroscopic Prediction via Microscopic Models

Negar Kiyavash

Macroscopic data aggregated from microscopic events are pervasive in machine learning, such as country-level COVID-19 infection statistics based on city-level data. Yet, many existing approaches for predicting macroscopic behavior only use aggregated data, ...

2020

NMR microsystem for label-free characterization of 3D nanoliter microtissues

Jürgen Brugger, Giovanni Boero, Marco Grisi, Gaurasundar Marc Conley, Kyle Joel Rodriguez

Performing chemical analysis at the nanoliter (nL) scale is of paramount importance for medicine, drug development, toxicology, and research. Despite the numerous methodologies available, a tool for obtaining chemical information non-invasively is still mi ...

Nature Research2020