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Change and motion define and constantly reshape the world around
us, on scales from the molecular to the global. In particular, the
subtle interplay between chemical reactions and molecular transport
gives rise to an astounding richness of natural phenomena, and
often manifests itself in the emergence of intricate spatial or
temporal patterns. The underlying theme of this book is that by
"setting chemistry in motion" in a proper way, it is
not only possible to discover a variety of new phenomena, in which
chemical reactions are coupled with diffusion, but also to build
micro-/nanoarchitectures and systems of practical importance.
Although reaction and diffusion (RD) processes are essential for
the functioning of biological systems, there have been only a few
examples of their application in modern micro- and nanotechnology.
Part of the problem has been that RD phenomena are hard to bring
under experimental control, especially when the system's
dimensions are small. Ultimately this book will guide the reader
through all the aspects of these systems - from understanding
the basics to practical hints and then to applications and
interpretation of results.
Topics covered include:
An overview and outlook of both biological and man-made
reaction-diffusion systems.
The fundamentals and mathematics of diffusion and chemical
reactions.
Reaction-diffusion equations and the methods of solving
them.
Spatial control of reaction-diffusion at small scales.
Micro- and nanofabrication by reaction-diffusion.
Chemical clocks and periodic precipitation structures.
Reaction-diffusion in soft materials and at solid
interfaces.
Microstructuring of solids using RD.
Reaction-diffusion for chemical amplification and sensing.
RD in three dimensions and at the nanoscale, including
nanosynthesis.
This book is aimed at all those who are interested in chemical
processes at small scales, especially physical chemists, chemical
engineers, and material scientists. The book can also be used for
one-semester, graduate elective courses in chemical engineering,
materials science, or chemistry classes.
Auteur
Bartosz A. Grzybowski is Associate Professor of Chemical and Biological Engineering at Northwestern University in Evanston, Illinois (USA). He was educated at the University of Gdansk (Poland) and Yale University (USA) and gained his PhD at Harvard University (USA), where he also worked as a postdoctoral fellow. From 2001 to 2003, Professor Grzybowski was Director of Research (Concurrent Pharmaceuticals) and Associate of the Department of Chemistry and Chemical Biology at Harvard University. He is the recipient of several awards including the 2003 Camille and Henry Dreyfus New Faculty Award and in 2006 an ACS Division of Colloid and Surface Chemistry Unilever Award and he is the (co)author of over 70 papers.
Texte du rabat
Change and motion define and constantly reshape the world around us, on scales from the molecular to the global. In particular, the subtle interplay between chemical reactions and molecular transport gives rise to an astounding richness of natural phenomena, and this often manifests itself in the emergence of intricate spatial or temporal patterns. The underlying theme of this book is that by "setting chemistry in motion" in a proper way, it is not only possible to discover a variety of new phenomena, in which chemical reactions are coupled with diffusion, but also to build micro-/nanoarchitectures and systems of practical importance. Although reaction and diffusion (RD) processes are essential for the functioning of biological systems, there have been only a few examples of their application in modern micro- and nanotechnology. Part of the problem has been that RD phenomena are hard to bring under experimental control, especially when the system's dimensions are small. Ultimately this book will guide the reader through all the aspects of these systems - from understanding the basics to practical hints and then to applications and the interpretation of results. Topics covered include:
Contenu
Preface.
List of Boxed Examples.
1 Panta Rei: Everything Flows.
1.1 Historical Perspective.
1.2 What Lies Ahead?
1.3 How Nature Uses RD.
1.3.1 Animate Systems.
1.3.2 Inanimate Systems.
1.4 RD in Science and Technology.
References.
2 Basic Ingredients: Diffusion.
2.1 Diffusion Equation.
2.2 Solving Diffusion Equations.
2.2.1 Separation of Variables.
2.2.2 Laplace Transforms.
2.3 The Use of Symmetry and Superposition.
2.4 Cylindrical and Spherical Coordinates.
2.5 Advanced Topics.
References.
3 Chemical Reactions.
3.1 Reactions and Rates.
3.2 Chemical Equilibrium.
3.3 Ionic Reactions and Solubility Products.
3.4 Autocatalysis, Cooperativity and Feedback.
3.5 Oscillating Reactions.
3.6 Reactions in Gels.
References.
4 Putting It All Together: ReactionDiffusion Equations and the Methods of Solving Them.
4.1 General Form of ReactionDiffusion Equations.
4.2 RD Equations that can be Solved Analytically.
4.3 Spatial Discretization.
4.3.1 Finite Difference Methods.
4.3.2 Finite Element Methods.
4.4 Temporal Discretization and Integration.
4.4.1 Case 1: Rxn Diff.
4.4.1.1 Forward Time Centered Space (FTCS) Differencing.
4.4.1.2 Backward Time Centered Space (BTCS) Differencing.
4.4.1.3 CrankNicholson Method.
4.4.1.4 Alternating Direction Implicit Method in Two and Three Dimensions.
4.4.2 Case 2: Rxn ≪ Diff.
4.4.2.1 Operator Splitting Method.
4.4.2.2 Method of Lines.
4.4.3 Dealing with Precipitation Reactions.
4.5 Heuristic Rules for Selecting a Numerical Method.
4.6 Mesoscopic Models.
References.
5 Spatial Control of ReactionDiffusion at Small Scales: Wet Stamping (WETS).
5.1 Choice of Gels.
5.2 Fabrication.
Appendix 5A: Practical Guide to Making Agarose Stamps.
5A.1 PDMS Molding.
5A.2 Agarose Molding.
References.
6 Fabrication by ReactionDiffusion: Curvilinear Microstructures for Optics and Fluidics.
6.1 Microfabrication: The Simple and the Difficult.
6.2 Fabricating Arrays of Microlenses by RD and WETS.
6.3 Intermezzo: Some Thoughts on Rational Design.
6.4 Guiding Microlens Fabrication by Lattice Gas Modeling.
6.5 Disjoint Features and Microfabrication of Multilevel Structures.
6.6 Microfabrication of Microfluidic Devices.
6.7 Short Summary.
References.
7 Multitasking: Micro- and Nanofabrication with Periodic Precipitation.
7.1 Periodic Precipitation.
7.2 Phenomenology of Periodic Precipitation.
7.3 Governing Equations.
7.4 Microscopic PP Patterns in Two Dimensions.
7.4.1 Feature Dimensions and Spacing.
7.4.2 Gel Thickness.
7.4.3 Degree of Gel Crosslinking.
7.4.4 Concentration of the Outer and Inne…