Being heterogeneous is disadvantageous: Brownian non-Gaussian searches
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866910368469614592 |
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| author | Sposini, Vittoria Nampoothiri, Sankaran Chechkin, Aleksei Orlandini, Enzo Seno, Flavio Baldovin, Fulvio |
| author_facet | Sposini, Vittoria Nampoothiri, Sankaran Chechkin, Aleksei Orlandini, Enzo Seno, Flavio Baldovin, Fulvio |
| contents | Diffusing diffusivity models, polymers in the grand canonical ensemble and polydisperse, and continuous-time random walks all exhibit stages of non-Gaussian diffusion. Is non-Gaussian targeting more efficient than Gaussian? We address this question, central to, e.g., diffusion-limited reactions and some biological processes, through a general approach that makes use of Jensen's inequality and that encompasses all these systems. In terms of customary mean first-passage time, we show that Gaussian searches are more effective than non-Gaussian ones. A companion paper argues that non-Gaussianity becomes instead highly more efficient in applications where only a small fraction of tracers is required to reach the target. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10138 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Being heterogeneous is disadvantageous: Brownian non-Gaussian searches Sposini, Vittoria Nampoothiri, Sankaran Chechkin, Aleksei Orlandini, Enzo Seno, Flavio Baldovin, Fulvio Statistical Mechanics Diffusing diffusivity models, polymers in the grand canonical ensemble and polydisperse, and continuous-time random walks all exhibit stages of non-Gaussian diffusion. Is non-Gaussian targeting more efficient than Gaussian? We address this question, central to, e.g., diffusion-limited reactions and some biological processes, through a general approach that makes use of Jensen's inequality and that encompasses all these systems. In terms of customary mean first-passage time, we show that Gaussian searches are more effective than non-Gaussian ones. A companion paper argues that non-Gaussianity becomes instead highly more efficient in applications where only a small fraction of tracers is required to reach the target. |
| title | Being heterogeneous is disadvantageous: Brownian non-Gaussian searches |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2403.10138 |