Transient dynamics in a nonequilibrium superdiffusive reaction-diffusion process: Nonequilibrium random search as a case study
| Autor: | G. M. Viswanathan, M. G. E. da Luz, F. Rusch, Ernesto P. Raposo, Marina E. Wosniack |
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| Rok vydání: | 2020 |
| Předmět: |
Physics
Steady state (electronics) Process (computing) Non-equilibrium thermodynamics 01 natural sciences 010305 fluids & plasmas Random search 0103 physical sciences Reaction–diffusion system Statistical physics Transient (oscillation) Limit (mathematics) 010306 general physics Constant (mathematics) |
| Zdroj: | Digital.CSIC. Repositorio Institucional del CSIC instname |
| ISSN: | 2470-0053 2470-0045 |
| Popis: | Este artículo contiene 8 páginas, 4 figuras. Transient regimes, often difficult to characterize, can be fundamental in establishing final steady states features of reaction-diffusion phenomena. This is particularly true in ecological problems. Here, through both numerical simulations and an analytic approximation, we analyze the transient of a nonequilibrium superdiffusive random search when the targets are created at a certain rate and annihilated upon encounters (a key dynamics, e.g., in biological foraging). The steady state is achieved when the number of targets stabilizes to a constant value. Our results unveil how key features of the steady state are closely associated to the particularities of the initial evolution. The searching efficiency variation in time is also obtained. It presents a rather surprising universal behavior at the asymptotic limit. These analyses shed some light into the general relevance of transients in reaction-diffusion systems. This work was supported by Brazilian agencies CNPq, CAPES, and FACEPE. |
| Databáze: | OpenAIRE |
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