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Diffusion metamaterials with artificial spatial structures have significant potential in controlling energy and mass transfer. Those static structures may lead to functionality and tunability constraints, impeding the application scope of…

Applied Physics · Physics 2024-05-30 Jinrong Liu , Liujun Xu , Jiping Huang

Out of equilibrium, the lack of reciprocity is the rule rather than the exception. Non-reciprocal interactions occur, for instance, in networks of neurons, directional growth of interfaces, and synthetic active materials. While wave…

Soft Condensed Matter · Physics 2021-04-20 Michel Fruchart , Ryo Hanai , Peter B. Littlewood , Vincenzo Vitelli

A challenge in soft robotics and soft actuation is the determination of an elastic system which spontaneously recovers its trivial path during postcritical deformation after a bifurcation. The interest in this behaviour is that a…

Soft Condensed Matter · Physics 2018-05-21 F. Bosi , D. Misseroni , F. Dal Corso , S. Neukirch , D. Bigoni

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

In the recent work "Non-reciprocal topological solitons in active metamaterials" (see arXiv:2312.03544v1), for an analytical understanding of the system under consideration, the authors derive an ordinary differential equation for the…

Pattern Formation and Solitons · Physics 2024-04-09 Duilio De Santis , Bernardo Spagnolo , Angelo Carollo , Davide Valenti , Claudio Guarcello

Architected metamaterials such as foams and lattices exhibit a wide range of properties governed by microstructural instabilities and emerging phase transformations. Their macroscopic response--including energy dissipation during impact,…

Well-established textbook arguments suggest that static electric susceptibility must be positive in "all bodies" [1]. However, it has been pointed out that media that are not in thermodynamic equilibrium are not necessarily subject to this…

Applied Physics · Physics 2020-01-29 F. Castles , J. A. J. Fells , D. Isakov , S. M. Morris , A. Watt , P. S. Grant

Modern photonic and quantum technologies demand reciprocity breaking, e.g., isolators, full-duplex systems, noise isolation in quantum computers, motivating searching for practical approaches beyond magnet-based devices. This work overviews…

This paper presents two novel control methodologies for the cooperative manipulation of an object by N robotic agents. Firstly, we design an adaptive control protocol which employs quaternion feedback for the object orientation to avoid…

Robotics · Computer Science 2019-01-04 Christos K. Verginis , Matteo Mastellaro , Dimos V. Dimarogonas

To succeed in the real world, robots must deal with situations that differ from those seen during training. Those out-of-distribution situations for legged robot mainly include challenging dynamic gaps and perceptual gaps. Here we study the…

Robotics · Computer Science 2025-07-08 Lingxiao Guo , Yue Gao

Mechanical motion can break the symmetry in which sound travels in a medium, but significant non-reciprocity is typically achieved only for very large motion speeds. Here we combine moving media with zero-index acoustic propagation,…

Applied Physics · Physics 2019-08-14 Li Quan , Dimitrios L. Sounas , Andrea Alu

Integrating multiple functionalities into a single metasurface is becoming of great interest for future intelligent communication systems. While such devices have been extensively explored for reciprocal functionalities, in this work, we…

Applied Physics · Physics 2020-11-23 Xuchen Wang , Ana Diaz-Rubio , Huanan Li , Sergei A. Tretyakov , Andrea Alu

We investigate emergent dynamics due to non-reciprocity in the $\mathcal{O}(2)$ model. The lattice XY model, where non-reciprocity stems from vision cone like couplings, can be described by a continuum description in which non-reciprocity…

Statistical Mechanics · Physics 2026-03-25 Ylann Rouzaire , Daniel JG Pearce , Ignacio Pagonabarraga , Demian Levis

We present a mechanism to generate unidirectional pulse-shaped propagating waves, tamed to exponential growth and dispersion, in active systems with nonreciprocal and nonlinear couplings. In particular, when all bulk modes are exponentially…

Mesoscale and Nanoscale Physics · Physics 2026-05-25 Sayan Jana , Bertin Many Manda , Vassos Achilleos , Dimitrios J. Frantzeskakis , Lea Sirota

Nonreciprocal signal operation is highly desired for various acoustic applications, where protection from unwanted backscattering can be realized so that transmitting and receiving signals are processed in a full-duplex mode. Here we…

Applied Physics · Physics 2021-06-09 Lijuan Fan , Jun Mei

Harnessing the rich nonlinear dynamics of highly-deformable materials has the potential to unlock the next generation of functional smart materials and devices. However, unlocking such potential requires effective strategies to spatially…

One of the key contributions of the 1972 seminal paper by Willems was the analysis of symmetry (also called reciprocity) of input-state-output systems, both from an external (input-output) and internal (state) point of view. The developed…

Optimization and Control · Mathematics 2024-01-02 Arjan van der Schaft

We examine a non-reciprocally coupled dynamical model of a mixture of two diffusing species. We demonstrate that nonreciprocity, which is encoded in the model via antagonistic cross diffusivities, provides a generic mechanism for the…

Soft Condensed Matter · Physics 2020-08-21 Zhihong You , Aparna Baskaran , M. Cristina Marchetti

The effective interactions between the constituents of driven soft matter generically defy Newton's third law. Combining theory and numerical simulations, we establish that six classes of mechanics with no counterparts in equilibrium…

Soft Condensed Matter · Physics 2022-02-02 Alexis Poncet , Denis Bartolo

A remarkable feat of active matter physics is that systems as diverse as collections of self-propelled particles, nematics mixed with molecular motors, and interacting robots can all be described by symmetry-based continuum theories. These…

Soft Condensed Matter · Physics 2026-04-28 Jack Binysh , Guido Baardink , Jonas Veenstra , Corentin Coulais , Anton Souslov
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