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Microorganisms develop coordinated beating patterns on surfaces lined with cilia known as metachronal waves. For a chain of cilia attached to a flat ciliate, it has been shown that hydrodynamic interactions alone can lead the system to…

Fluid Dynamics · Physics 2016-03-23 Babak Nasouri , Gwynn J. Elfring

In complex systems, groups of interacting objects may form prevalent and persistent spatiotemporal patterns, which we refer to as motifs. These motifs can exhibit features that reveal how individual objects interact with one another.…

Biological Physics · Physics 2025-12-12 Ying Chen Lim , Rakesh Das , Tetsuya Hiraiwa , N. Duane Loh

The heterogeneous micromechanical properties of biological tissues have profound implications across diverse medical and engineering domains. However, identifying full-field heterogeneous elastic properties of soft materials using…

Numerical Analysis · Mathematics 2025-07-09 Wensi Wu , Mitchell Daneker , Kevin T. Turner , Matthew A. Jolley , Lu Lu

We consider statistical-mechanical models for spin systems built on hierarchical structures, which provide a simple example of non-mean-field framework. We show that the coupling decay with spin distance can give rise to peculiar features…

Disordered Systems and Neural Networks · Physics 2016-02-02 Elena Agliari , Adriano Barra , Andrea Galluzzi , Francesco Guerra , Daniele Tantari , Flavia Tavani

Hierarchical (first-order) structured deformations are studied from the variational point of view. The main contributions of the present research are the first steps, at the theoretical level, to establish a variational framework to…

Optimization and Control · Mathematics 2022-08-26 Ana Cristina Barroso , José Matias , Marco Morandotti , David R. Owen , Elvira Zappale

Metamaterials exhibit materials response deviation from conventional elasticity. This phenomenon is captured by the generalized elasticity as a result of extending the theory at the expense of introducing additional parameters. These…

Computational Engineering, Finance, and Science · Computer Science 2021-06-10 Bilen Emek Abali , Emilio Barchiesi

Spatiotemporal metasurfaces offer unique opportunities for wave manipulation, however, their practical realization is often constrained by the requirement for in-plane spatial modulation, which necessitates a large number of time-varying…

We present a theory which explains how to achieve an enhancement of nonlinear effects in a thin layer of nonlinear medium by involving a planar periodic structure specially designed to bear a trapped-mode resonant regime. In particular, the…

Optics · Physics 2015-12-18 V. Khardikov , P. Mladyonov , S. Prosvirnin , V. Tuz

Transition waves in mechanical metamaterials manifest themselves as propagating interfaces between different stable states in lattices composed of arrays of coupled, intrinsically bistable elements. Here, we show experimentally and…

Applied Physics · Physics 2026-03-11 Eleonore Duval , Giada Risso , Alex Zhang , Vincent Tournat , Katia Bertoldi

Architected materials achieve unique mechanical properties through precisely engineered microstructures that minimize material usage. However, a key challenge of low-density materials is balancing high stiffness with stable deformability up…

Materials Science · Physics 2024-09-20 Matheus I. N. Rosa , Konstantinos Karapiperis , Kaoutar Radi , Dennis M. Kochmann

Nanostructures with one-dimensional periodicity, such as multilayered structures, are currently in the focus of active research in the context of hyperbolic metamaterials and photonic topological structures. An efficient way to describe the…

Optics · Physics 2020-02-26 Maxim A. Gorlach , Mikhail Lapine

Aperiodic metamaterials represent a class of structural systems that are composed of different building blocks (cells), instead of a self-repeating chain of the same unit cells. Optimizing aperiodic cellular structural systems thus presents…

Computational Engineering, Finance, and Science · Computer Science 2020-07-31 Amir Behjat , Manaswin Oddiraju , Mohammad Ali Attarzadeh , Mostafa Nouh , Souma Chowdhury

The necking instability is a precursor to tensile failure and rupture of materials. A quasistatically loaded free-standing uniaxial specimen typically exhibits necking at a single location, corresponding to a long wavelength bifurcation…

Soft Condensed Matter · Physics 2023-01-04 Jian Li , Hannah Varner , Tal Cohen

A new multi-dimensional Hierarchical Structure Finder (HSF) to study the phase-space structure of dark matter in N-body cosmological simulations is presented. The algorithm depends mainly on two parameters, which control the level of…

Astrophysics · Physics 2015-05-13 M. Maciejewski , S. Colombi , V. Springel , C. Alard , F. R. Bouchet

Material band structure is key foundation for various modern technologies, but it was regarded as a space-time invariant feature. Acoustic metamaterials show extraordinary properties for processing elastic waves, but conventional…

Applied Physics · Physics 2020-03-11 Xin Fang , Jihong Wen , Dianlong Yu

Extrusion 3D-printing of biopolymers and natural fiber-based biocomposites allows for the fabrication of complex structures, ranging from gels for healthcare applications to eco-friendly structural materials. However, traditional polymer…

Biological Physics · Physics 2024-11-26 Israel Kellersztein , Daniel Tish , John Pederson , Martin Bechthold , Chiara Daraio

The van der Waals heterostructures are a fertile frontier for discovering emergent phenomena in condensed matter systems. They are constructed by stacking elements of a large library of two-dimensional materials, which couple together…

Mesoscale and Nanoscale Physics · Physics 2020-05-22 William Dorrell , Harris Pirie , S. Minhal Gardezi , Nathan C. Drucker , Jennifer E. Hoffman

In this research, we investigate in-depth the nonlinear energy transmission phenomenon in a metastable modular metastructure and develop efficient tools for the design of such systems. Previous studies on a one-dimensional (1D)…

Applied Physics · Physics 2019-07-09 Zhen Wu , Kon-Well Wang

Porous media with hierarchical structures are commonly encountered in both natural and synthetic materials, e.g., fractured rock formations, porous electrodes and fibrous materials, which generally consist of two or more distinguishable…

Soft Condensed Matter · Physics 2020-03-18 Si Suo , Mingchao Liu , Yixiang Gan

The design of band-gap metamaterials, i.e., metamaterials with the capability to inhibit wave propagation of a specific frequency range, has numerous potential engineering applications, such as acoustic filters and vibration isolation…

Applied Physics · Physics 2024-07-17 Milan Jirásek , Martin Horák , Michal Šmejkal