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Hooke's law states that the forces or stresses experienced by an elastic object are proportional to the applied deformations or strains. The number of coefficients of proportionality between stress and strain, i.e., the elastic moduli, is…

Active matter constantly dissipates energy to power the self-propulsion of its microscopic constituents. This opens the door to designing innovative cyclic engines without any equilibrium equivalent. We offer a consistent thermodynamic…

Soft Condensed Matter · Physics 2020-07-08 Timothy Ekeh , Michael E. Cates , Étienne Fodor

Elasticity typically refers to a material's ability to store energy, while viscosity refers to a material's tendency to dissipate it. In this review, we discuss fluids and solids for which this is not the case. These materials display…

Soft Condensed Matter · Physics 2023-03-29 Michel Fruchart , Colin Scheibner , Vincenzo Vitelli

Non-reciprocal interactions fueled by local energy consumption can be found in biological and synthetic active matter at scales where viscoelastic forces are important. Such systems can be described by "odd" viscoelasticity, which assumes…

Soft Condensed Matter · Physics 2023-10-31 Carlos Floyd , Aaron R. Dinner , Suriyanarayanan Vaikuntanathan

Chiral active materials are abundant in nature, including the cytoskeleton with attached motor proteins, rotary clusters of bacteria flagella, and self-spinning starfish embryos. These materials break both time reversal and mirror-image…

Soft Condensed Matter · Physics 2025-10-17 Cheng-Tai Lee , Tom C. Lubensky , Tomer Markovich

Materials made from active, living, or robotic components can display emergent properties arising from local sensing and computation. Here, we realize a freestanding active metabeam with piezoelectric elements and electronic feed-forward…

Applied Physics · Physics 2021-10-14 Yangyang Chen , Xiaopeng Li , Colin Scheibner , Vincenzo Vitelli , Guoliang Huang

We study microscopic engines that use a single active particle as their "working medium". Part of the energy required to drive the directed motion of the particle can be recovered as work, even at constant temperature. A wide class of…

Soft Condensed Matter · Physics 2022-01-20 Thomas Speck

Materials that behave like machines, e.g. functional materials that are able to change shape in response to external stimuli (Bhattacharya and James, 2005), often do so by exploiting phase transitions. Shape memory materials and the tail…

Materials Science · Physics 2019-03-13 Matthew P. O'Donnell , Jonathan P. Stacey , Isaac V. Chenchiah , Alberto Pirrera

Odd elasticity describes the unusual elastic response of solids whose stress-strain relationship is not compatible with an elastic potential. Here, we present a study of odd elasticity in a driven granular matter system composed of grains…

Soft Condensed Matter · Physics 2023-12-01 Rosalind Huang , Rituparno Mandal , Colin Scheibner , Vincenzo Vitelli

Because of its nonequilibrium character, active matter in a steady state can drive engines that autonomously deliver work against a constant mechanical force or torque. As a generic model for such an engine, we consider systems that contain…

Statistical Mechanics · Physics 2019-11-15 Patrick Pietzonka , Étienne Fodor , Christoph Lohrmann , Michael E. Cates , Udo Seifert

Non-reciprocal interactions in elastic media give rise to rich non-equilibrium behaviors, but controllable experimental realizations of such odd elastic phenomena remain scarce. Building on recent breakthroughs in electrical analogs of…

Soft Condensed Matter · Physics 2025-03-19 Harry Walden , Alexander Stegmaier , Jörn Dunkel , Alexander Mietke

Universal properties of efficiency at maximum power are investigated in a general setting. In particular, it is demonstrated how successive symmetries placed upon the dynamics manifest themselves at the macroscopic level. A general…

Statistical Mechanics · Physics 2015-03-10 Bart Cleuren , Bob Rutten , Christian Van den Broeck

Mechanism - collections of rigid elements coupled by perfect hinges which exhibit a zero-energy motion -- motivate the design of a variety of mechanical metamaterials. We significantly enlarge this design space by considering…

Soft Condensed Matter · Physics 2021-06-23 Nitin Singh , Martin van Hecke

We consider nano-sized artificial or biological machines working in steady state enforced by imposing non-equilibrium concentrations of solutes or by applying external forces, torques or electric fields. For unicyclic and strongly coupled…

Statistical Mechanics · Physics 2015-05-20 Udo Seifert

The construction of efficient thermal engines operating at finite times constitutes a fundamental and timely topic in nonequilibrium thermodynamics. We introduce a strategy for optimizing the performance of Brownian engines, based on a…

Statistical Mechanics · Physics 2021-08-04 C. E. Fernández Noa , Angel L. L. Stable , William G. C. Oropesa , Alexandre Rosas , C. E. Fiore

We demonstrate a general route to making active, odd elastic solids from passive chiral elements that can act as sources of mechanical work by violating static equilibrium without internal sources of energy or momentum. We further…

Applied Physics · Physics 2021-09-13 Mohamed Shaat , Harold S. Park

We investigate the efficiency of power generation by thermo-chemical engines. For strong coupling between the particle and heat flows and in the presence of a left-right symmetry in the system, we demonstrate that the efficiency at maximum…

Statistical Mechanics · Physics 2010-03-01 Massimiliano Esposito , Katja Lindenberg , Christian Van den Broeck

We consider an active, stochastic microscopic model of particles suspended in a fluid and show that the coarse-grained description of this model renders odd viscoelasticity. The particles are odd dumbbells, each featuring a robotic device…

Soft Condensed Matter · Physics 2024-10-23 Paweł Matus , Ruben Lier , Piotr Surówka

A wide range of physical and biological systems, including colloidal magnets, granular spinners, and starfish embryos, are characterized by strongly rotating units that give rise to odd viscosity and odd elasticity. These active systems can…

Soft Condensed Matter · Physics 2025-02-28 Lorenzo Caprini , Umberto Marini Bettolo Marconi

Mechanical metamaterials made of flexible building blocks can exhibit a plethora of extreme mechanical responses, such as negative elastic constants, shape-changes, programmability and memory. To date, dissipation has largely remained…

Soft Condensed Matter · Physics 2024-06-12 David M. J. Dykstra , Shahram Janbaz , Corentin Coulais
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