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Time-delayed reaction-diffusion fronts

A time-delayed second-order approximation for the front speed in reaction-dispersion systems was obtained by Fort and Méndez [Phys. Rev. Lett. 82, 867 (1999)]. Here we show that taking proper care of the effect of the time delay on the reactive process yields a different evolution equation and, therefore, an alternate equation for the front speed. We apply the new equation to the Neolithic transition. For this application the new equation yields speeds about 10% slower than the previous one

American Physical Society

Autor: Isern Sardó, Neus
Fort, Joaquim
Resum: A time-delayed second-order approximation for the front speed in reaction-dispersion systems was obtained by Fort and Méndez [Phys. Rev. Lett. 82, 867 (1999)]. Here we show that taking proper care of the effect of the time delay on the reactive process yields a different evolution equation and, therefore, an alternate equation for the front speed. We apply the new equation to the Neolithic transition. For this application the new equation yields speeds about 10% slower than the previous one
Accés al document: http://hdl.handle.net/2072/209788
Llenguatge: eng
Editor: American Physical Society
Drets: Tots els drets reservats
Matèria: Equacions de reacció-difusió
Reaction-diffusion equations
Neolític -- Models matemàtics
Neolithic period -- Mathematical models
Títol: Time-delayed reaction-diffusion fronts
Tipus: info:eu-repo/semantics/article
Repositori: Recercat

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