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 admin note: text overlap with arXiv:2501.05846
References in corpus (8)
- Statistical mechanics and dynamics of solvable models with long-range interactions
- Morphological computation and decentralized learning in a swarm of sterically interacting robots
- Charged hydrophobic colloids at an oil/aqueous phase interface
- Logarithmic aging via instability cascades in disordered systems
- Dynamical fluctuations in the Riesz gas
- 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