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Updated: Sep 11, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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Multiscale energy spreading in hard-particle chains.

Arkady Pikovsky1

  • 1University of Potsdam, Department of Physics and Astronomy, Karl-Liebknecht-Str. 24/25, 14476 Potsdam-Golm, Germany.

Physical Review. E
|August 19, 2025
PubMed
Summary
This summary is machine-generated.

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.

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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.