Topological defects in solids with odd elasticity

Abstract

Crystallography typically studies collections of point particles whose interaction forces are the gradient of a potential. Lifting this assumption generically gives rise in the continuum limit to a form of elasticity with additional moduli known as odd elasticity. We show that such odd elastic moduli modify the strain induced by topological defects and their interactions, even reversing the stability of, otherwise, bound dislocation pairs. Beyond continuum theory, isolated dislocations can self propel via microscopic work cycles active at their cores that compete with conventional Peach-Koehler forces caused, for example, by an ambient torque density. We perform molecular dynamics simulations isolating active plastic processes and discuss their experimental relevance to solids composed of spinning particles, vortex-like objects, and robotic metamaterials.

34 pages and 13 figures with Supplementary Information; Updated Journal Reference

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Cited by in corpus (25)

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• Oscillatory force autocorrelations in equilibrium odd-diffusive systems
• Lift force in odd compressible fluids
• Time-correlation functions for odd Langevin systems
• Extreme Spontaneous Deformations of Active Crystals
• Non-Bloch band theory for non-Hermitian continuum systems
• Odd elasticity and topological waves in active surfaces
• Imaging Topological Defect Dynamics Mediating 2D Skyrmion Lattice Melting
• Probe particles in odd active viscoelastic fluids: how activity and dissipation determine linear stability
• Non-reciprocal breathing solitons
• Odd elasticity of a catalytic micromachine
• Elastic Liénard-Wiechert potentials of dynamical dislocations from tensor gauge theory in 2+1 dimensions
• Anomalous grain dynamics and grain locomotion of odd crystals
• Hydrodynamics of thermal active matter
• Simulations of Odd Microswimmers
• Rigid flocks, undulatory gaits, and chiral foldamers in a chemically active polymer
• Odd elasticity in disordered chiral active materials
• Odd elasticity in Hamiltonian formalism
• When soft crystals defy Newton's third law: Non-reciprocal mechanics and dislocation motility
• Active elastocapillarity in soft solids with negative surface tension
• Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density