Non-equilibrium Statistical Mechanics, A: Without The Assumption Of Molecular Chaos
eBook - PDF

Non-equilibrium Statistical Mechanics, A: Without The Assumption Of Molecular Chaos

Without the Assumption of Molecular Chaos

  1. 436 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Non-equilibrium Statistical Mechanics, A: Without The Assumption Of Molecular Chaos

Without the Assumption of Molecular Chaos

About this book

This book presents the construction of an asymptotic technique for solving the Liouville equation, which is to some degree an analogue of the Enskog-Chapman technique for solving the Boltzmann equation. Because the assumption of molecular chaos has been given up at the outset, the macroscopic variables at a point, defined as arithmetic means of the corresponding microscopic variables inside a small neighborhood of the point, are random in general. They are the best candidates for the macroscopic variables for turbulent flows. The outcome of the asymptotic technique for the Liouville equation reveals some new terms showing the intricate interactions between the velocities and the internal energies of the turbulent fluid flows, which have been lost in the classical theory of BBGKY hierarchy.

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Yes, you can access Non-equilibrium Statistical Mechanics, A: Without The Assumption Of Molecular Chaos by Tian-quan Chen in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Contents
  2. Foreword
  3. Preface
  4. 1 Introduction
  5. 2 H-Functional
  6. 3 H-Functional Equation
  7. 4 K-Functional
  8. 5 Some Useful Formulas
  9. 6 Turbulent Gibbs Distributions
  10. 7 Euler K-Functional Equation
  11. 8 Functionals and Distributions
  12. 9 Local Stationary Liouville Equation
  13. 10 Second Order Approximate Solutions
  14. 11 A Finer K-Functional Equation
  15. 12 Conclusions
  16. A Some Facts About Spherical Harmonics
  17. Bibliography
  18. Index