More is less in unpercolated active solids

Abstract

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 descriptions rely on reducing complex effects of individual motors to a few key active parameters, which increase with activity. Here we discover a striking anomaly in the continuum description of non-reciprocal active solids, a ubiquitous class of active materials. We find that as microscopic activity increases, macroscale active response can vanish: more is less. In this highly active regime, non-affine and localized modes prevail and destroy the large-scale signature of microscopic activity. These modes exist in any dilute periodic structure and emerge in random lattices below a percolation transition. Our results unveil a counterintuitive facet of active matter, offering new principles for engineering materials far from equilibrium.

17 pages including Methods, 8 figures. See https://www.youtube.com/playlist?list=PLXM8aFxQnwl_PTfs0h_2NTSB2WrqLNcch for Supplementary Movies

References in corpus (37)

• Motility-Induced Phase Separation
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Jamming of Soft Particles: Geometry, Mechanics, Scaling and Isostaticity
• Non-reciprocal phase transitions
• Mechanical Metamaterials with Negative Compressibility Transitions
• Absence of Quantum Time Crystals
• Nonreciprocity and magnetic-free isolation based on optomechanical interactions
• Odd elasticity
• Active Turbulence
• Impossibility of Spontaneously Rotating Time-Crystals: A No-Go Theorem
• Odd dynamics of living chiral crystals
• Molecular motors robustly drive active gels to a critically connected state
• Nonreciprocity as a generic route to traveling states
• Odd Viscosity and Odd Elasticity
• Designing allostery-inspired response in mechanical networks
• Phonons in a one-dimensional microfluidic crystal
• Scalar Active Mixtures: The Non-Reciprocal Cahn-Hilliard Model
• Non-Hermitian band topology and skin modes in active elastic media
• Selective and Collective Actuation in Active Solids
• Architecture and Co-Evolution of Allosteric Materials
• Non-reciprocity across scales in active mixtures
• Non-reciprocal topological solitons in active metamaterials
• Photonic Metamaterial Analogue of a Continuous Time Crystal
• Non-Hermitian dynamics and nonreciprocity of optically coupled nanoparticles
• Stress management in composite biopolymer networks
• Long-range Order and Directional Defect Propagation in the Nonreciprocal XY Model with Vision Cone Interactions
• Nonreciprocal pattern formation of conserved fields
• Limit cycles turn active matter into robots
• Supervised learning in physical networks: From machine learning to learning machines
• Autonomous waves and global motion modes in living active solids
• Non-reciprocal frustration: time crystalline order-by-disorder phenomenon and a spin-glass-like state
• Observations of a PT-like phase transition and limit cycle oscillations in non-reciprocally coupled optomechanical oscillators levitated in vacuum
• The 2024 Motile Active Matter Roadmap
• Pulsating active matter
• Dynamical phase transitions in the nonreciprocal Ising model
• Roadmap for Animate Matter
• Continuous Space-Time Crystal State Driven by Nonreciprocal Optical Forces