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Dynamic redundancy as a mechanism to optimize collective random searches
Daniel Campos1, Vicenç Méndez1
1Grup de Física Estadística, Departament de Física, Facultat de Ciències, <a href="https://ror.org/052g8jq94">Universitat Autònoma de Barcelona</a>, 08193 Bellaterra, Barcelona, Spain.
Physical Review. E
|July 18, 2024
Summary
This study reveals an optimal joining rate for random walkers to minimize collective search costs. Even with dynamic populations, efficient strategies exist for multiparticle random walks.
Area of Science:
- Statistical Physics
- Stochastic Processes
Background:
- Random walks are fundamental models in physics and biology.
- Previous models often assumed a constant number of searchers.
Purpose of the Study:
- To analyze search strategies with a dynamic number of random walkers.
- To determine optimal conditions for minimizing collective search time.
Main Methods:
- Developed exact analytical solutions for first-passage time and collective cost.
- Focused on Brownian walkers with a zero departure rate (r_d=0).
Main Results:
- Identified an optimal rate (r_b) for walkers joining the search.
- Demonstrated that this optimal rate minimizes the total search cost.
Conclusions:
- Dynamic populations in random walks can be optimized for efficiency.
- Findings offer insights into regulating multiparticle random walks in natural processes.
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