Multiscale Energy Spreading in Hard-Particle Chains
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913776675061760 |
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| author | Pikovsky, Arkady |
| author_facet | Pikovsky, Arkady |
| contents | We consider a one-dimensional array of particles interacting via an infinite well potential. We explore the properties of energy spreading from an initial state where only a group of particles has non-zero velocities while others are resting. We characterize anomalous diffusion of the active domain via moments and entropies of the energy distribution. Only in the special cases of a single-well potential (hard-particle gas) and of the distance between the particles being half of the potential width does the diffusion have a single scale; otherwise, a multiscale anomalous diffusion is observed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_03511 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multiscale Energy Spreading in Hard-Particle Chains Pikovsky, Arkady Statistical Mechanics Cellular Automata and Lattice Gases We consider a one-dimensional array of particles interacting via an infinite well potential. We explore the properties of energy spreading from an initial state where only a group of particles has non-zero velocities while others are resting. We characterize anomalous diffusion of the active domain via moments and entropies of the energy distribution. Only in the special cases of a single-well potential (hard-particle gas) and of the distance between the particles being half of the potential width does the diffusion have a single scale; otherwise, a multiscale anomalous diffusion is observed. |
| title | Multiscale Energy Spreading in Hard-Particle Chains |
| topic | Statistical Mechanics Cellular Automata and Lattice Gases |
| url | https://arxiv.org/abs/2504.03511 |