Experimental investigation of Lévy flights for step-length distributions with a length-dependent local power exponent
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866912956171681792 |
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| author | Nunes, Isaac C. López, Jesús P. de Silans, Thierry Passerat |
| author_facet | Nunes, Isaac C. López, Jesús P. de Silans, Thierry Passerat |
| contents | We experimentally investigate the transmission of light by dense atomic vapor. The light propagating in dense atomic vapor can be modeled as a Lévy flight random walk. For such system, the step-length distribution can be modeled as $P(\ell)\sim \ell^{-1-α(\ell)}$, with the Lévy index $α(\ell)$ varying smoothly with the step length. Moreover, the walkers alternate between two distinct distributions depending on the occurrence of collisions between atoms in the light scattering. We obtain the Lévy index from transmission measurements for different system sizes and atomic densities. The measured Lévy index is determined by the system size $α=α(\ell=L)$. Simulations are made for walkers alternating between two Lévy like step-length |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08666 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Experimental investigation of Lévy flights for step-length distributions with a length-dependent local power exponent Nunes, Isaac C. López, Jesús P. de Silans, Thierry Passerat Optics Statistical Mechanics Atomic Physics We experimentally investigate the transmission of light by dense atomic vapor. The light propagating in dense atomic vapor can be modeled as a Lévy flight random walk. For such system, the step-length distribution can be modeled as $P(\ell)\sim \ell^{-1-α(\ell)}$, with the Lévy index $α(\ell)$ varying smoothly with the step length. Moreover, the walkers alternate between two distinct distributions depending on the occurrence of collisions between atoms in the light scattering. We obtain the Lévy index from transmission measurements for different system sizes and atomic densities. The measured Lévy index is determined by the system size $α=α(\ell=L)$. Simulations are made for walkers alternating between two Lévy like step-length |
| title | Experimental investigation of Lévy flights for step-length distributions with a length-dependent local power exponent |
| topic | Optics Statistical Mechanics Atomic Physics |
| url | https://arxiv.org/abs/2603.08666 |