Cross-diffusion and pattern formation in reaction–diffusion systems

Literature Information

Publication Date 2008-12-11
DOI 10.1039/B813825G
Impact Factor 3.676
Authors

Vladimir K. Vanag, Irving R. Epstein


View Original

Abstract

Cross-diffusion, the phenomenon in which a gradient in the concentration of one species induces a flux of another chemical species, has generally been neglected in the study of reaction–diffusion systems. We summarize experiments that demonstrate that cross-diffusion coefficients can be quite significant, even exceeding “normal,” diagonal diffusion coefficients in magnitude in systems that involve ions, micelles, complex formation, excluded volume effects (e.g., surface or polymer reactions) and other phenomena commonly encountered in situations of interest to chemists. We then demonstrate with a series of model calculations that cross-diffusion can lead to spatial and spatiotemporal pattern formation, even in relatively simple systems. We also show that, in the absence of cross-diffusion among the reacting species, introduction of a nonreactive species that induces appropriate cross-diffusive fluxes with reactive species can lead to pattern formation.

Related Literature

Spread and set silicone–boronic acid elastomers

Laura Zepeda-Velazquez, Benjamin Macphail, Michael A. Brook

2016-05-23 Paper

DOI: 10.1039/C6PY00492J

Reactive polymeric micelles with disulfide groups in the coronae

Lichao Sun, Jinchuan Liu, Hanying Zhao

2014-07-29 Paper

DOI: 10.1039/C4PY00938J

Nanopatterned L10-FePt nanoparticles from single-source metallopolymer precursors for potential application in ferromagnetic bit-patterned media magnetic recording

Zhengong Meng, Guijun Li, Sheung-Mei Ng, Hon-Fai Wong, Sze-Chun Yiu, Chi-Wah Leung

2016-06-01 Paper

DOI: 10.1039/C6PY00714G

Fabrication of honeycomb films from highly functional dendritic structures: electrostatic force driven immobilization of biomolecules

A. S. De León, S. Malhotra, M. Molina, A. Muñoz-Bonilla, J. Rodríguez-Hernández

2016-05-23 Paper

DOI: 10.1039/C6PY00601A

Contents list

Front/Back Matter

DOI: 10.1039/C4PY90070G

Mitochondria-targeted fluorescent polymersomes for drug delivery to cancer cells

P. S. Kulkarni, M. K. Haldar, M. I. Confeld, C. J. Langaas, X. Yang, S. Y. Qian, S. Mallik

2016-05-24 Communication

DOI: 10.1039/C6PY00623J

Fixation of carbon dioxide concurrently or in tandem with free radical polymerization for highly transparent polyacrylates with specific UV absorption

Bin Liu, Ying-Ying Zhang, Xing-Hong Zhang, Bin-Yang Du, Zhi-Qiang Fan

2016-04-29 Paper

DOI: 10.1039/C6PY00525J

Probing the dendritic architecture through AIE: challenges and successes

Mathieu Arseneault, Nelson L. C. Leung, Lai Tsz Fung, Rongrong Hu, Jean-François Morin

2014-07-04 Paper

DOI: 10.1039/C4PY00817K

Thermal and living anionic polymerization of 4-vinylbenzyl piperidine

Alison R. Schultz, Chainika Jangu, Timothy E. Long

2014-07-02 Paper

DOI: 10.1039/C4PY00763H

You might also like

Compound Q&A

Are there alternatives to 1-(4-Chlorophenyl)-N-hydroxymethanimine (CAS: 3848-36-0) in synthesis?

When considering alternatives to 1-(4-Chlorophenyl)-N-hydroxymethanimine (CAS: 3...

3848-36-01-(4-Chlorophenyl)-N...
Compound Q&A

How is 3-(4-Bromophenyl)-5-(2-fluorophenyl)-1,2,4-oxadiazole (CAS: 419553-16-5) typically synthesized?

3-(4-Bromophenyl)-5-(2-fluorophenyl)-1,2,4-oxadiazole is synthesized through a m...

419553-16-53-(4-Bromophenyl)-5-...
Compound Q&A

How is 5-Chloro-2-(4-chlorophenyl)-4-methyl-6-[3-(1-piperidinyl)propoxy]pyrimidine (CAS: 1639220-19-1) typically synthesized?

5-Chloro-2-(4-chlorophenyl)-4-methyl-6-[3-(1-piperidinyl)propoxy]pyrimidine (CAS...

1639220-19-15-Chloro-2-(4-chloro...
Compound Q&A

What industries use 2-Chloro-4-(difluoromethoxy)pyridine (CAS: 1206978-15-5)?

2-Chloro-4-(difluoromethoxy)pyridine is used in the pharmaceutical industry for ...

1206978-15-52-Chloro-4-(difluoro...
Compound Q&A

What regulatory guidelines apply to 3-Chloro-6-methylpyridazine (CAS: 1121-79-5)?

3-Chloro-6-methylpyridazine (CAS: 1121-79-5) is classified under the Globally Ha...

1121-79-53-Chloro-6-methylpyr...
Compound Q&A

Are there alternatives to Methyl 4,5-dimethyl-2-nitrobenzoate in synthesis?

Several alternatives can be used in the synthesis of Methyl 4,5-dimethyl-2-nitro...

90922-74-0Methyl 4,5-dimethyl-...
Compound Q&A

Are there alternatives to (2E,2'E)-3,3'-(1,4-Phenylene)bisacrylaldehyde in synthesis?

Alternatives to (2E,2'E)-3,3'-(1,4-Phenylene)bisacrylaldehyde include other acry...

63405-68-5(2E,2'E)-3,3'-(1,4-P...
Compound Q&A

What is 3-Amino-5-chloropyridin-2-ol hydrochloride (CAS: 1261906-29-9)?

3-Amino-5-chloropyridin-2-ol hydrochloride is an organic compound with the CAS n...

1261906-29-93-Amino-5-chloropyri...
Compound Q&A

What precautions should be taken when handling 6,7-Difluoro-2,3-dihydro-4H-chromen-4-one (CAS: 1092349-93-3)?

When handling 6,7-Difluoro-2,3-dihydro-4H-chromen-4-one, it is essential to wear...

1092349-93-36,7-Difluoro-2,3-dih...

Source Journal

Physical Chemistry Chemical Physics

Physical Chemistry Chemical Physics
CiteScore: 5.5
Self-citation Rate: 10.3%
Articles per Year: 3036

Physical Chemistry Chemical Physics (PCCP) is an international journal co-owned by 19 physical chemistry and physics societies from around the world. This journal publishes original, cutting-edge research in physical chemistry, chemical physics and biophysical chemistry. To be suitable for publication in PCCP, articles must include significant innovation and/or insight into physical chemistry; this is the most important criterion that reviewers and Editors will judge against when evaluating submissions. The journal has a broad scope and welcomes contributions spanning experiment, theory, computation and data science. Topical coverage includes spectroscopy, dynamics, kinetics, statistical mechanics, thermodynamics, electrochemistry, catalysis, surface science, quantum mechanics, quantum computing and machine learning. Interdisciplinary research areas such as polymers and soft matter, materials, nanoscience, energy, surfaces/interfaces, and biophysical chemistry are welcomed if they demonstrate significant innovation and/or insight into physical chemistry. Joined experimental/theoretical studies are particularly appreciated when complementary and based on up-to-date approaches.

Recommended Suppliers

Disclaimer
This page provides academic journal information for reference and research purposes only. We are not affiliated with any journal publishers and do not handle publication submissions. For publication-related inquiries, please contact the respective journal publishers directly.
If you notice any inaccuracies in the information displayed, please contact us at support@chemtradehub.com. We will promptly review and address your concerns.