Back to Search
Start Over
Being heterogeneous is disadvantageous: Brownian non-Gaussian searches
- Source :
- Phys. Rev. E 109, 034120 (2024)
- Publication Year :
- 2024
-
Abstract
- 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.
- Subjects :
- Condensed Matter - Statistical Mechanics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. E 109, 034120 (2024)
- Publication Type :
- Report
- Accession number :
- edsarx.2403.10138
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevE.109.034120