Propagating fronts in reaction-transport systems with memory

A. Yadav; Sergei Fedotov; Vicenç Méndez; Werner Horsthemke

doi:https://doi.org/10.1016/j.physleta.2007.06.044

Propagating fronts in reaction-transport systems with memory

A. Yadav, Sergei Fedotov, Vicenç Méndez, Werner Horsthemke

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

24 Citations (Scopus)

Abstract

In reaction-transport systems with non-standard diffusion, the memory of the transport causes a coupling of reactions and transport. We investigate the effect of this coupling for systems with Fisher-type kinetics and obtain a general analytical expression for the front speed. We apply our results to the specific case of subdiffusion. © 2007 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	374-378
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	371
DOIs	https://doi.org/10.1016/j.physleta.2007.06.044
Publication status	Published - 26 Nov 2007

Keywords

Memory kernel
Propagating front
Reaction-transport system
Subdiffusion

Access to Document

https://doi.org/10.1016/j.physleta.2007.06.044

Cite this

@article{ca49d3dcf229475c90eea35cd82579c1,

title = "Propagating fronts in reaction-transport systems with memory",

abstract = "In reaction-transport systems with non-standard diffusion, the memory of the transport causes a coupling of reactions and transport. We investigate the effect of this coupling for systems with Fisher-type kinetics and obtain a general analytical expression for the front speed. We apply our results to the specific case of subdiffusion. {\textcopyright} 2007 Elsevier B.V. All rights reserved.",

keywords = "Memory kernel, Propagating front, Reaction-transport system, Subdiffusion",

author = "A. Yadav and Sergei Fedotov and Vicen{\c c} M{\'e}ndez and Werner Horsthemke",

year = "2007",

month = nov,

day = "26",

doi = "https://doi.org/10.1016/j.physleta.2007.06.044",

language = "English",

volume = "371",

pages = "374--378",

}

TY - JOUR

T1 - Propagating fronts in reaction-transport systems with memory

AU - Yadav, A.

AU - Fedotov, Sergei

AU - Méndez, Vicenç

AU - Horsthemke, Werner

PY - 2007/11/26

Y1 - 2007/11/26

N2 - In reaction-transport systems with non-standard diffusion, the memory of the transport causes a coupling of reactions and transport. We investigate the effect of this coupling for systems with Fisher-type kinetics and obtain a general analytical expression for the front speed. We apply our results to the specific case of subdiffusion. © 2007 Elsevier B.V. All rights reserved.

AB - In reaction-transport systems with non-standard diffusion, the memory of the transport causes a coupling of reactions and transport. We investigate the effect of this coupling for systems with Fisher-type kinetics and obtain a general analytical expression for the front speed. We apply our results to the specific case of subdiffusion. © 2007 Elsevier B.V. All rights reserved.

KW - Memory kernel

KW - Propagating front

KW - Reaction-transport system

KW - Subdiffusion

U2 - https://doi.org/10.1016/j.physleta.2007.06.044

DO - https://doi.org/10.1016/j.physleta.2007.06.044

M3 - Article

VL - 371

SP - 374

EP - 378

ER -

Propagating fronts in reaction-transport systems with memory

Abstract

Keywords

Access to Document

Fingerprint

Cite this