Dynamical Spreading and Memory Retention Under Power Law Potential
arXiv:2502.06256 · doi:10.1103/v1nk-pfzj
Abstract
We study the overdamped dynamic spreading of a suspension of particles under a repulsive power law potential. We predict that the suspension spreads in a self-similar form, with its radius growing in time with a power independent of the dimension. We confirm this prediction experimentally using magnetized colloids with dipolar repulsion. Numerical simulations corroborate the experiments and further predict a categorically different behavior at a critical power, below which the initial distribution is no longer concentrated at the origin. Instead, particles accumulate at the perimeter and retain a long-lived memory of their original pattern. Below this threshold, the initial distribution seeds the resulting pattern, encoding the future structure of a dynamically evolving system.
arXiv commentarXiv admin note: text overlap with arXiv:2501.05846
References in corpus (23)
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Statistical mechanics and dynamics of solvable models with long-range interactions
- The 2019 Motile Active Matter Roadmap
- Memory formation in matter
- Breaking of ergodicity and long relaxation times in systems with long-range interactions
- Thermodynamics and dynamics of systems with long-range interactions
- Generic transient memory formation in disordered systems with noise
- Freezing on a Sphere
- Slow relaxation in long-range interacting systems with stochastic dynamics
- Morphological computation and decentralized learning in a swarm of sterically interacting robots
- Charged hydrophobic colloids at an oil/aqueous phase interface
- Harmonically confined particles with long-range repulsive interactions
- Partial clustering prevents global crystallization in a binary 2D colloidal glass former
- Logarithmic aging via instability cascades in disordered systems
- Annihilation of Charged Particles
- Dynamical fluctuations in the Riesz gas
- General continuum approach for dissipative systems of repulsive particles
- Self-Consistent Model of Annihilation-Diffusion Reaction with Long-Range Interactions
- Overdamped dynamics of particles with repulsive power-law interactions
- Formation and relaxation of quasi-stationary states in particle systems with power law interactions
- Out of equilibrium dynamics of repulsive ranked diffusions: the expanding crystal
- Expansion into the vacuum of stochastic gases with long-range interactions
- Dynamical Spreading and Memory Retention Under Power Law Potential