scholarly journals Reaction–Diffusion Kinetics in Growing Domains

Author(s):  
Carlos Escudero ◽  
Santos Bravo Yuste ◽  
Enrique Abad ◽  
Felipe Le Vot
ACS Nano ◽  
2019 ◽  
Vol 13 (8) ◽  
pp. 8669-8679 ◽  
Author(s):  
Daipayan Sarkar ◽  
Peiyuan Kang ◽  
Steven O. Nielsen ◽  
Zhenpeng Qin

2014 ◽  
Vol 1641 ◽  
Author(s):  
Jing Wang ◽  
Andrés Garcia ◽  
David M. Ackerman ◽  
Mark S. Gordon ◽  
Igor I. Slowing ◽  
...  

ABSTRACTMulti-functionalization of catalytically-active nanomaterials provides a valuable tool for enhancing reaction yield by shifting reaction equilibrium, and potentially also by adjusting reaction-diffusion kinetics. For example, multi-functionalization of mesoporous silica to make the interior pore surface hydrophobic can enhance yield in dehydration reactions. Detailed molecular-level modeling to describe the pore environment, as well as the reaction and diffusion kinetics is challenging, although we briefly discuss current strategies. Our focus, however, is on coarse-grained stochastic modeling of the overall catalytic process for highly restricted transport within narrow pores (with single-file diffusion), while accounting for a tunable interaction of the pore interior with reaction products. We show that making the pore interior unfavorable to products can significantly enhance yield due to both thermodynamic and kinetics factors.


2003 ◽  
Vol 93 (3) ◽  
pp. 1525-1532
Author(s):  
M. L. Zhang ◽  
N. H. March ◽  
A. Peeters ◽  
C. Van Alsenoy ◽  
I. Howard ◽  
...  

Author(s):  
Zakir Hossine ◽  
Md. Kamrujjaman

A reaction-diffusion model is put forward which is capable of generating chemical maps whose concentration contours are similar to the patterns seen on the flanks of zebras, leopards and other mammals. Initially, this type of reaction diffusion kinetics model was introduced by Turing and later Murray applied it to animal coat patterns. Among many chemical reaction mechanism, we consider Schnackenberg reaction mechanism in details and show that the geometry and scale of the domain, the relevant part of the integument, during the time of laying down plays a crucial role in the structural patterns which result. Patterns which exhibit a limited randomness are obtained for a selection of geometries. Finally the system was solved numerically using finite difference method.


2019 ◽  
Vol 99 (4) ◽  
Author(s):  
Wei-Xiang Chew ◽  
Kazunari Kaizu ◽  
Masaki Watabe ◽  
Sithi V. Muniandy ◽  
Koichi Takahashi ◽  
...  

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