Universal fragmentation in annihilation reactions with constrained kinetics
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917786070024192 |
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| author | Garcia, Enrique Rozas Karlsson, Alfred Weddig Hofmann, Johannes |
| author_facet | Garcia, Enrique Rozas Karlsson, Alfred Weddig Hofmann, Johannes |
| contents | In reaction-diffusion models of annihilation reactions in low dimensions, single-particle dynamics provides a bottleneck for reactions, leading to an anomalously slow approach to the empty state. Here, we construct a reaction model with a reciprocal bottleneck on particle dynamics where single-particle motion conserves the center of mass. We show that such a constrained reaction-diffusion dynamics does not approach an empty state but freezes at late times in a state with fragmented particle clusters, and that the late-time dynamics and asymptotic density are universal. Our setup thus constitutes a minimal model for the fragmentation of a one-dimensional lattice into independent particle clusters, and we provide exact results for the final density in the large-reaction rate limit. We suggest that the universal reaction dynamics could be observable in experiments with cold atoms or in the Auger recombination of exciton gases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16950 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universal fragmentation in annihilation reactions with constrained kinetics Garcia, Enrique Rozas Karlsson, Alfred Weddig Hofmann, Johannes Statistical Mechanics Quantum Gases Cellular Automata and Lattice Gases In reaction-diffusion models of annihilation reactions in low dimensions, single-particle dynamics provides a bottleneck for reactions, leading to an anomalously slow approach to the empty state. Here, we construct a reaction model with a reciprocal bottleneck on particle dynamics where single-particle motion conserves the center of mass. We show that such a constrained reaction-diffusion dynamics does not approach an empty state but freezes at late times in a state with fragmented particle clusters, and that the late-time dynamics and asymptotic density are universal. Our setup thus constitutes a minimal model for the fragmentation of a one-dimensional lattice into independent particle clusters, and we provide exact results for the final density in the large-reaction rate limit. We suggest that the universal reaction dynamics could be observable in experiments with cold atoms or in the Auger recombination of exciton gases. |
| title | Universal fragmentation in annihilation reactions with constrained kinetics |
| topic | Statistical Mechanics Quantum Gases Cellular Automata and Lattice Gases |
| url | https://arxiv.org/abs/2404.16950 |