Molecular Thermodynamics and Transport Phenomena: Complexities of Scales in Space and Time
by: Michael H. Peters
Abstract: Molecular Thermodynamics and Transport Phenomena describes these natural phenomena in the language of mathematics and quantitatively characterizes relationship between scales of time, energy, space and chosen structural hierarchies, giving the reader a clearer understanding how these processes react with one another.
Full details
Table of Contents
- A. McGraw-Hill Nanoscience and Technology Series
- B. Preface
- C. Notes on Notation
- 1. Introduction to Statistical Mechanics and the Classical Mechanics of Interacting Particles
- 2. Phase Space and the Liouville Equation
- 3. Reduced Density Functions and the Reduced Liouville Equation
- 4. Equilibrium Solution to the Liouville Equation and the Thermodynamic Properties of Matter
- 5. The General Equations of Change for Nonequilibrium Systems
- 6. Closure of the Transport Equations
- A. ABOUT THE AUTHOR
Tools & Media
Expanded Table of Contents
-
A.
McGraw-Hill Nanoscience and Technology Series
-
B.
Preface
-
C.
Notes on Notation
-
1.
Introduction to Statistical Mechanics and the Classical Mechanics of Interacting Particles
- Introduction to Classical Statistical Mechanics and a Unification of Equilibrium and Nonequilibrium Analysis
- Molecular Interactions in Gases, Liquids, and Solids and the Nature of Intermolecular (Interatomic) Interaction Forces
- Introduction to Classical Mechanics
- Lagrangian Mechanics
- Hamilton’s Equations of Motion
- Summary
- Problems
- 2. Phase Space and the Liouville Equation
- 3. Reduced Density Functions and the Reduced Liouville Equation
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4.
Equilibrium Solution to the Liouville Equation and the Thermodynamic Properties of
Matter
- Introduction to the Equilibrium Behavior of Matter
- Solution to the Liouville Equation under Equilibrium Conditions
- The Thermodynamic Functions Û, P, and Ŝ
- Determination of the Configurational Distribution Functions
- Thermodynamic Functions for a Dilute Gas
- Configurational Integral Equation for Dense Gases and Liquids
- Equilibrium Properties of Nonspherical Molecules
- Complex Equilibrium Systems: Multicomponent and Multiphase
- Chapter Summary and Note on the Lack of Proof of the Existence and Uniqueness of the Equilibrium Solution
- Problems
- 5. The General Equations of Change for Nonequilibrium Systems
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6.
Closure of the Transport Equations
- Introduction: Complexities of Scales in Time and Space
- Scaling of the Reduced Liouville Equation
- Regular Perturbative Expansion of the Reduced Liouville Equation for Dense Gases and Liquids
- Perturbation Expansion for Dilute Gases
- Chapman-Enskog Solution to the Boltzmann Transport Equation
- Property Flux Expressions for Gases
- Chapter Summary and the Closed Forms of the Transport Equations
- Problems
-
A.
ABOUT THE AUTHOR
Book Details
Title: Molecular Thermodynamics and Transport Phenomena: Complexities of Scales in Space and Time
Publisher: McGraw-Hill: New York, Chicago, San Francisco, Lisbon, London, Madrid, Mexico City, Milan, New Delhi, San Juan, Seoul, Singapore, Sydney, Toronto
Copyright / Pub. Date: 2005 The McGraw-Hill Companies, Inc
ISBN: 9780071445610
Authors:
Michael H. Peters , PhD currently conducts teaching and research in the general field of biomedical
engineering. He is the author of over 30 journal articles, one textbook, and has given
numerous invited talks at conferences and universities throughout the U.S. His research
focuses on the computational molecular biophysics of cell signal molecules (ligands)
and their interactions with special cellular targets, such as integrins, and in-vitro
and in-vivo experimentation and clinical applications of ligand-receptor systems.
Description: Molecular Thermodynamics and Transport Phenomena describes these natural phenomena in the language of mathematics and quantitatively characterizes relationship between scales of time, energy, space and chosen structural hierarchies, giving the reader a clearer understanding how these processes react with one another.
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