Results 11 to 20 of about 394,882 (288)

Stability analysis and simulations of coupled bulk-surface reaction–diffusion systems [PDF]

open access: yes, 2015
In this article, we formulate new models for coupled systems of bulk-surface reaction–diffusion equations on stationary volumes. The bulk reaction–diffusion equations are coupled to the surface reaction–diffusion equations through linear Robin-type ...
Chung, Andy H W   +2 more
core   +2 more sources

Effect of stress-dependent activation enthalpy on electrochemical reaction and diffusion-reaction-induced stress in spherical electrodes

open access: yesResults in Physics, 2019
Effect of chemical reaction on Li-ions diffusion and diffusion-reaction-induced stresses in a spherical electrode is studied, considering the reaction rate determined by the relation between hydrostatic stress and activation enthalpy, to derive new ...
Liangxinbu Lyu   +4 more
doaj   +1 more source

Pattern dynamics in telegraph reaction diffusion

open access: yesTheoretical and Applied Mechanics Letters, 2018
Reaction-diffusion (RD) equation was often used to investigate the pattern dynamics, but telegraph reaction-diffusion (TRD) system was seldom studied. In this paper, the Izhikevich model was modified to explain some biological mechanisms by RD and TRD in
Qianqian Zheng, Fang Han, Zhijie Wang
doaj   +1 more source

Interfacial Reactions between Mg-40Al and Mg-30Y Master Alloys

open access: yesMetals, 2020
Interfacial reactions between Mg-40Al and Mg-30Y master alloys were investigated at intervals of 25 °C in the 350–400 °C by using a diffusion couple method. Noticeable reaction layers were formed at the interfaces of the diffusion couples.
Jiahong Dai   +3 more
doaj   +1 more source

Characterization of Turing diffusion-driven instability on evolving domains [PDF]

open access: yes, 2012
In this paper we establish a general theoretical framework for Turing diffusion-driven instability for reaction-diffusion systems on time-dependent evolving domains.
A. Gierer   +43 more
core   +1 more source

A Reaction Diffusion Model Of Pattern Formation In Clustering Of Adatoms On Silicon Surfaces [PDF]

open access: yes, 2012
We study a reaction diffusion model which describes the formation of patterns on surfaces having defects. Through this model, the primary goal is to study the growth process of Ge on Si surface.
Bagarti, T.   +3 more
core   +2 more sources

Diffusion Chaos in Reaction – Diffusion Boundary Problem in the Dumbbell Domain

open access: yesМоделирование и анализ информационных систем, 2013
We consider a boundary problem of reaction-diffusion type in the domain consisting of two rectangular areas connected by a bridge. The bridge width is a bifurcation parameter of the problem and is changed in such way that the measure of the domain is ...
S. D. Glyzin, P. L. Shokin
doaj   +3 more sources

A Numerical Method for Time-Fractional Reaction-Diffusion and Integro Reaction-Diffusion Equation Based on Quasi-Wavelet

open access: yesComplexity, 2020
In this research work, we focused on finding the numerical solution of time-fractional reaction-diffusion and another class of integro-differential equation known as the integro reaction-diffusion equation.
Sachin Kumar, Jinde Cao, Xiaodi Li
doaj   +1 more source

Reaction-diffusion processes [PDF]

open access: yesChinese Science Bulletin, 1998
This is a survey paper in the study of reaction-diffusion processes. Schögl's model and Brussel's model are presented in the first section, they are typical models in non-equilibrium statistical physics. The case of a finite number of sites is not so easy, but is now quite well understood.
openaire   +3 more sources

Steady-state bifurcation of FHN-type oscillator on a square domain

open access: yesNonlinear Analysis, 2023
The Turing patterns of reaction-diffusion equations defined over a square region are more complex because of the D4-symmetry of the spatial region. This leads to the occurrence of multiple equivariant Turing bifurcations.
Chunrui Zhang   +2 more
doaj   +1 more source

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