منابع مشابه
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 tran...
متن کاملReaction-diffusion fronts with inhomogeneous initial conditions
Properties of reaction zones resulting from A + B → C type reaction-diffusion processes are investigated by analytical and numerical methods. The reagents A and B are separated initially and, in addition, there is an initial macroscopic inhomogeneity in the distribution of the B species. For simple two-dimensional geometries, exact analytical results are presented for the time-evolution of the ...
متن کاملNepomnyashchy reaction systems − Fronts in anomalous diffusion
Supplementary data rsta.2012.0179.DC1.html http://rsta.royalsocietypublishing.org/content/suppl/2012/11/23/ "Presentation at Turbulent Mixing and Beyond conference" References 79.full.html#ref-list-1 http://rsta.royalsocietypublishing.org/content/371/1982/201201 This article cites 62 articles Subject collections (52 articles) mathematical physics collections Articles on similar topics can be...
متن کاملQuadratic and Cubic Reaction–Diffusion Fronts*
Robert Luther’s student, Herr cand. Meinecke, moved a wire loop along the test tube to mark the position of the propagating front, with the image projected onto a screen so the entire audience could see. It was May 21, 1906, at the Main Meeting of the Deutsche Bunsengesellschaft für Angewandte Physikalische Chemie held in Dresden, Germany. Luther, who was Director of the Physical Chemistry Labo...
متن کاملField theory of propagating reaction-diffusion fronts.
The problem of velocity selection of reaction-diffusion fronts has been widely investigated. While the mean-field limit results are well known theoretically, there is a lack of analytic progress in those cases in which fluctuations are to be taken into account. Here, we construct an analytic theory connecting the first principles of the reaction-diffusion process to an effective equation of mot...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2009
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.80.057103