Introduction to Critical Phenomena in Fluids
Published on 2. June 2005
381 pages
978-0-19-802802-4 (ISBN)
Description
Introduction to Critical Phenomena in Fluids encompasses the fundamentals of this relatively young field, as well as applications in the fields of chemical engineering, analytical chemistry, and environmental remediation processing. The exercises in the text have been developed in a way that makes the book suitable for graduate courses in chemical engineering thermodynamics and physical chemistry.
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Eldred H. Chimowitz
Introduction to Critical Phenomena in Fluids
Book
06/2005
Oxford University Press Inc
€191.20
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Content
- Intro
- Contents
- 1 Fundamentals of Thermodynamic Stability
- 1.1 Mathematical and Thermodynamic Preliminaries
- 1.2 Thermodynamic Stability Theory
- 1.3 Thermodynamic Conditions at the Limit of Stability
- 1.4 Equivalence of Stability Criteria between Different Thermodynamic Potentials
- 1.5 Further Use of the Combined Theorems
- 1.6 Chapter Review
- 1.7 Additional Exercises
- Appendix: Linear Algebra
- Bibliography
- 2 The Critical Point in Pure Fluids and Mixtures
- 2.1 The Critical Point: Pure Fluids
- 2.2 Generalization of the Results to Multicomponent Mixtures
- 2.3 Beyond the Limit of Stability
- 2.4 Chapter Review
- Bibliography
- 3 Thermodynamic Scaling Near the Critical Point
- 3.1 The Classical Equation of State, Path Dependence, and Scaling at the Critical Point
- 3.2 The Various Critical Exponents and Their Scaling Paths
- 3.3 Scaling in Terms of K[(sub T)], C[(Sub P)], and a[(Sub P)]
- 3.4 The Griffiths-Wheeler Classification
- 3.5 The Direction of Approach to the Critical Point: The Coexistence Curve as an Eigenvector of F[sub(G)]
- 3.6 Scaling Results from the Stable Limit of Stability Conditions
- 3.7 Chapter Review
- 3.8 Additional Exercises
- Bibliography
- 4 Scaling Near the Critical Point in Mixtures
- 4.1 The Critical-Line Topography in Binary Supercritical Mixtures
- 4.2 Critical Stability in Binary Mixtures at Finite Compositions
- 4.3 The Nonclassical Perspective
- 4.4 An Important Case: Dilute Binary Mixtures Near the Solvent's Critical Point
- 4.5 Chapter Review
- 4.6 Additional Exercises
- Bibliography
- 5 Solvation in Supercritical Fluids
- 5.1 Solubility Analysis along the Phase Envelope
- 5.2 Retrograde Phenomena in Supercritical Mixtures
- 5.3 Density Dependence of Isothermal Solubility Data in the Critical Region
- 5.4 Data Modeling with Engineering Equations of State
- 5.5 The Infinite-Dilution Reference Condition
- 5.6 Chapter Review
- 5.7 Additional Exercises
- Bibliography
- 6 Supercritical Adsorption
- 6.1 Mathematical Model of Adsorption Dynamics
- 6.2 Equilibrium Adsorption Coefficients in the Critical Region
- 6.3 Optimal Separations Performance in Supercritical Fluid Chromatography
- 6.4 Chapter Review
- 6.5 Additional Exercises
- Bibliography
- 7 Mean-Field Theories
- 7.1 The Ising Model
- 7.2 The Mean-Field Approximation to the Ising System
- 7.3 First-Order Corrections to the Mean Field
- 7.4 Continuum Fluid: Mean-Field Equations of State for Supercritical Fluids
- 7.5 The Lattice Gas
- 7.6 Mean-Field Model Behavior at the Critical Point
- 7.7 Bounds on the Mean-Field Free Energy
- 7.8 Chapter Review
- 7.9 Additional Exercises
- Bibliography
- 8 Fluctuations and Critical Behavior
- 8.1 Thermodynamic Fluctuations
- 8.2 Correlation Functions and Thermodynamic Stability Coefficients
- 8.3 Higher-Order Correlation Functions
- 8.4 Fluctuation Properties in Fluids
- 8.5 Integral-Equation Theory
- 8.6 Chapter Review
- 8.7 Additional Exercises
- Bibliography
- 9 Scaling Theory and Computer Simulation
- 9.1 Scaling Laws and Critical Exponents
- 9.2 Phenomenological Scaling Theory
- 9.3 Widom's Scaling Hypothesis
- 9.4 The Role of Finite-Size Effects in Determining Critical Properties
- 9.5 Scaling in Homogeneous Bulk Fluids
- 9.6 Computer Simulation Methods
- 9.7 Chapter Review
- 9.8 Additional Exercises
- Bibliography
- 10 The Renormalization-Group Method
- 10.1 The One-Dimensional Ising Model and RG Approach (h = 0)
- 10.2 Further Examples of RG Calculations
- 10.3 The Relationship of RG to Scaling of the Free Energy
- 10.4 Another "Generic" Lattice Reduction Strategy with the RG Approach
- 10.5 Critical Exponents from the RG Analysis
- 10.6 The Scaling Laws and the RG Approach
- 10.7 Computational Techniques in Conjuction with RG Results
- 10.8 Chapter Review
- 10.9 Additional Exercises
- Bibliography
- 11 Critical Behaviour in Confined Systems
- 11.1 Interfaces and Capillarity
- 11.2 Supercritical Drying of Nanoscale Porous Materials
- 11.3 Critical Scaling for Systems Confined between Parallel Walls
- 11.4 Critical Phenomena in Disordered Systems
- 11.5 Fluid Phase Transitions in Quenched Random Porous Structures
- 11.6 Chapter Review
- 11.7 Additional Exercises
- Bibliography
- 12 Transport in the Critical Region
- 12.1 Self-Diffusion in Fluids
- 12.2 Diffusion in the Critical Region
- 12.3 The Calculation of Diffusion Coefficients by Computer Simulation
- 12.4 Relaxation Dynamics in the Critical Region
- 12.5 Binary Mixtures
- 12.6 Diffusion in Porous Media
- 12.7 Chapter Review
- 12.8 Additional Exercises
- Bibliography
- Index
- A
- B
- C
- D
- E
- F
- G
- H
- I
- J
- K
- L
- M
- N
- O
- P
- Q
- R
- S
- T
- U
- V
- W
- Y
