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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Extinction transitions in correlated external noise

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Autor(es):
Wada, Alexander H. O. [1, 2] ; Small, Matthew [1] ; Vojta, Thomas [1, 3]
Número total de Autores: 3
Afiliação do(s) autor(es):
[1] Missouri Univ Sci & Technol, Dept Phys, Rolla, MO 65409 - USA
[2] Univ Sao Paulo, Inst Fis, Rua Matao 1371, BR-05508090 Sao Paulo, SP - Brazil
[3] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 - USA
Número total de Afiliações: 3
Tipo de documento: Artigo Científico
Fonte: Physical Review E; v. 98, n. 2 AUG 10 2018.
Citações Web of Science: 6
Resumo

We analyze the influence of long-range correlated (colored) external noise on extinction phase transitions in growth and spreading processes. Uncorrelated environmental noise (i.e., temporal disorder) was recently shown to give rise to an unusual infinite-noise critical point {[}Europhys. Lett, 112, 30002 (2015)]. It is characterized by enormous density fluctuations that increase without limit at criticality. As a result, a typical population decays much faster than the ensemble average, which is dominated by rare events. Using the logistic evolution equation as an example, we show here that positively correlated (red) environmental noise further enhances these effects. This means, the correlations accelerate the decay of a typical population but slow down the decay of the ensemble average. Moreover, the mean time to extinction of a population in the active, surviving phase grows slower than a power law with population size. To determine the complete critical behavior of the extinction transition, we establish a relation to fractional random walks, and we perform extensive Monte Carlo simulations. (AU)

Processo FAPESP: 17/08631-0 - Transições de fase fora do equilíbrio na presença de desordem temporal
Beneficiário:Alexander Hideki Oniwa Wada
Linha de fomento: Bolsas no Exterior - Estágio de Pesquisa - Doutorado