W. T. Grandy Jr.

Foundations of Statistical Mechanics (eBook, PDF)

Equilibrium Theory

• Format: PDF

Produktbeschreibung

In a certain sense this book has been twenty-five years in the writing, since I first struggled with the foundations of the subject as a graduate student. It has taken that long to develop a deep appreciation of what Gibbs was attempting to convey to us near the end of his life and to understand fully the same ideas as resurrected by E.T. Jaynes much later. Many classes of students were destined to help me sharpen these thoughts before I finally felt confident that, for me at least, the foundations of the subject had been clarified sufficiently. More than anything, this work strives to address the following questions: What is statistical mechanics? Why is this approach so extraordinarily effective in describing bulk matter in terms of its constituents? The response given here is in the form of a very definite point of view-the principle of maximum entropy (PME). There have been earlier attempts to approach the subject in this way, to be sure, reflected in the books by Tribus [Thermostat ics and Thermodynamics, Van Nostrand, 1961], Baierlein [Atoms and Information Theory, Freeman, 1971], and Hobson [Concepts in Statistical Mechanics, Gordon and Breach, 1971].

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer Netherlands
• Seitenzahl: 380
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9789400938670
• Artikelnr.: 44054796

Inhaltsangabe

Prologue.- References.- 1 The Equations of Classical Hydrodynamics.- A. Rheology.- B. The Conventional Microscopic Connection.- C. Thermodynamics.- D. Critique.- 2 General Theory of Nonequilibria.- A. Theory of the Partition Functional.- 3 Theory of Dynamical Response.- A. Response Functions.- B. Linear Response and Fluctuations.- C. The Scope of Linear Response Theory.- 4 Dynamical Response of Real Systems.- Electric Fields.- Magnetic Fields.- A. Magnetic Polarization.- B. Electric Polarization.- C. Electrical Conductivity.- D. Gyromagnetic Phenomena.- E. Galvanomagnetic Effects.- F. Nonlinear Electromagnetic Response.- 5 General Nonequilibrium Processes.- A. Theory of the Steady State.- B. The Linear Approximation.- C. Higher-Order Terms.- 6 Analysis of Covariance Functions for Simple Fluids.- A. General Properties of Covariance Functions.- B. Calculation of Covariance Functions.- 7 Thermally Driven Systems.- A. Theory of Thermal Driving.- B. Relaxation Processes.- 8 Transport Processes and Hydrodynamics.- A. Linear Transport Processes.- Particle Diffusion.- Thermal Conductivity.- Viscoelasticity.- B. Thermomechanical Processes.- C. The Equations of Hydrodynamics.- D. The Hydrodynamic Limit.- 9 Sound Propagation and Attenuation.- A. The Classical Theory of Sound.- B. Linear Theory of Sound Propagation and Attenuation.- C. Ideal Gases, I: Boltzmann Statistics.- D. Ideal Gases, II: Quantum Statistics.- Epilogue.- Nonlinearities.- Irregular Motion.- References.- Appendix A Operator Calculus and Identities.- Operator Identities.- Time-Evolution Operators.- References.- Appendix B Diagrammatic Analysis of Covariance Functions.- Self-Energy Analysis.- Interaction Models.- Ring Diagrams.- Ladder Diagrams.- Generalized Vertices.- References.- Appendix C The Density CovarianceFunction.- Summation of Ring Diagrams.- Ladder Sum and Hard Spheres.- References.