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Multiscale energy spreading in hard-particle chains
1University of Potsdam, Department of Physics and Astronomy, Karl-Liebknecht-Str. 24/25, 14476 Potsdam-Golm, Germany.
Physical Review. E
|August 19, 2025
Summary
Energy spreads anomalously in a particle system with infinite well potentials. Multiscale diffusion is common, except in specific hard-particle or half-width cases where single-scale diffusion occurs.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
Background:
- Investigating energy transport in interacting particle systems is crucial for understanding complex physical phenomena.
- Anomalous diffusion, deviating from standard Brownian motion, is observed in various systems, including those with potential interactions.
Purpose of the Study:
- To analyze the energy spreading dynamics in a 1D array of particles interacting via an infinite well potential.
- To characterize the nature of anomalous diffusion in this system, focusing on the initial conditions of energy distribution.
Main Methods:
- Utilizing moments and entropies of the energy distribution to quantify diffusion.
- Simulating a 1D particle array with an infinite well potential and specific initial conditions.
Main Results:
- Energy spreading from an initially localized active domain was observed.
- Multiscale anomalous diffusion was the predominant behavior, indicating complex spreading patterns.
- Single-scale diffusion was identified only in two specific scenarios: a hard-particle gas and when particle separation was half the potential width.
Conclusions:
- The system exhibits complex energy spreading dynamics governed by the infinite well potential.
- The observed anomalous diffusion is generally multiscale, highlighting the system's sensitivity to initial conditions and potential parameters.
- Specific configurations simplify the diffusion to a single scale, offering insights into controllable transport regimes.
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