$A+A \to A$, $\; \; B+A \to A$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916336332963840 |
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| author | Tribe, Roger Zaboronski, Oleg |
| author_facet | Tribe, Roger Zaboronski, Oleg |
| contents | This paper considers the decay in particle intensities for a translation invariant two species system of diffusing and reacting particles on $\mathbb{Z}^d$ for $d \geq 3$. The intensities are shown to approximately solve modified rate equations, from which their polynomial decay can be deduced. The system illustrates that the underlying diffusion and reaction rates can influence the exact polynomial decay rates, despite the system evolving in a supercritical dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18212 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $A+A \to A$, $\; \; B+A \to A$ Tribe, Roger Zaboronski, Oleg Probability Mathematical Physics 82C22 This paper considers the decay in particle intensities for a translation invariant two species system of diffusing and reacting particles on $\mathbb{Z}^d$ for $d \geq 3$. The intensities are shown to approximately solve modified rate equations, from which their polynomial decay can be deduced. The system illustrates that the underlying diffusion and reaction rates can influence the exact polynomial decay rates, despite the system evolving in a supercritical dimension. |
| title | $A+A \to A$, $\; \; B+A \to A$ |
| topic | Probability Mathematical Physics 82C22 |
| url | https://arxiv.org/abs/2407.18212 |