Moving, Reproducing, and Dying Beyond Flatland: Malthusian Flocks in Dimensions d>2.
Phys Rev Lett
; 125(9): 098003, 2020 Aug 28.
Article
em En
| MEDLINE
| ID: mdl-32915622
ABSTRACT
We show that "Malthusian flocks"-i.e., coherently moving collections of self-propelled entities (such as living creatures) which are being "born" and "dying" during their motion-belong to a new universality class in spatial dimensions d>2. We calculate the universal exponents and scaling laws of this new universality class to O(ε) in an ε=4-d expansion, and find these are different from the "canonical" exponents previously conjectured to hold for "immortal" flocks (i.e., those without birth and death) and shown to hold for incompressible flocks in d>2. Our expansion should be quite accurate in d=3, allowing precise quantitative comparisons between our theory, simulations, and experiments.
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Base de dados:
MEDLINE
Assunto principal:
Modelos Biológicos
Limite:
Animals
Idioma:
En
Ano de publicação:
2020
Tipo de documento:
Article