Infinite-dimensional diffusions and depletion interaction for a model of colloids
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912721481498624 |
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| author | Fradon, Myriam Zass, Alexander |
| author_facet | Fradon, Myriam Zass, Alexander |
| contents | We consider infinite-dimensional random diffusion dynamics for the Asakura--Oosawa model of interacting hard spheres of two different sizes. We construct a solution to the corresponding SDE with collision local times, analyse its reversible measures, and observe the emergence of an attractive short-range depletion interaction between the large spheres. We study the Gibbs measures associated to this new interaction, exploring connections to percolation and optimal packing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_15628 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Infinite-dimensional diffusions and depletion interaction for a model of colloids Fradon, Myriam Zass, Alexander Probability 60K35, 60H10, 60J55, 82D99 We consider infinite-dimensional random diffusion dynamics for the Asakura--Oosawa model of interacting hard spheres of two different sizes. We construct a solution to the corresponding SDE with collision local times, analyse its reversible measures, and observe the emergence of an attractive short-range depletion interaction between the large spheres. We study the Gibbs measures associated to this new interaction, exploring connections to percolation and optimal packing. |
| title | Infinite-dimensional diffusions and depletion interaction for a model of colloids |
| topic | Probability 60K35, 60H10, 60J55, 82D99 |
| url | https://arxiv.org/abs/2502.15628 |