Predictive Statistical Mechanics - A Nonequilibrium Ensemble Formalism

Chapters 1 to 5 include a description of the philosophy, foundations, and construction (methodology) of the formalism, including the derivation of a nonequilibrium grand-canonical ensemble for far-from-equilibrium systems as well as the derivation of a quantum nonlinear kinetic theory and a response function theory together with a theory of scattering. In chapter 6 applications of the theory are cataloged, making comparisons with experimental data (a basic step for the validation of any theory). Chapter 7 is devoted to the description of irreversible thermodynamics, providing a far-reaching generalization of Informational-Statistical Thermodynamics. The last chapter gives an overall picture of the formalism, and questions and criticisms related to it are discussed.

List of contents

1. Maxent-Nesom in Equilibrium Conditions.- 2. Maxent-Nesom for Dissipative Processes in Open Systems.- 3. Nonequilibrium Generalized Grand-Canonical Ensemble.- 4. Maxent-Nesom-Based Kinetic Theory.- 5. Response Function Theory.- 6. Theory and Experiment.- 7. Informational Statistical Thermodynamics.- 8. Final Remarks.- Appendices.- The variational procedure.- Calculation of Eq. (4.15).- The Partial Collision Operators of Eq. (4.24).- Calculation of Eq. (4.49).- An illustration of the use of Markovian equations.- Calculation of Eq. (4.63).- The Dielectric Function.- Name Index.

Summary

Chapters 1 to 5 include a description of the philosophy, foundations, and construction (methodology) of the formalism, including the derivation of a nonequilibrium grand-canonical ensemble for far-from-equilibrium systems as well as the derivation of a quantum nonlinear kinetic theory and a response function theory together with a theory of scattering. In chapter 6 applications of the theory are cataloged, making comparisons with experimental data (a basic step for the validation of any theory). Chapter 7 is devoted to the description of irreversible thermodynamics, providing a far-reaching generalization of Informational-Statistical Thermodynamics. The last chapter gives an overall picture of the formalism, and questions and criticisms related to it are discussed.

Product details

• Authors: J. Galv¿Ramos, Galvão Ramos, J. Galvão Ramos, Robert Luzzi, Roberto Luzzi, ¿urea R. Vasconcellos, Áurea Vasconcellos, Áurea R Vasconcellos, Áurea R. Vasconcellos
• Publisher: Springer Netherlands
• Languages: English
• Product format: Hardback
• Released: 14.04.2009
• EAN: 9781402004827
• ISBN: 978-1-4020-0482-7
• No. of pages: 304
• Weight: 667 g
• Illustrations: XL, 304 p.
• Series: Fundamental Theories of Physics; Fundamental Theories of Physics
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; C, Classical mechanics, Complex systems, Theoretical, Mathematical and Computational Physics, Classical and Continuum Physics, Condensed Matter Physics, Condensed matter, Materials / States of matter, Physics and Astronomy, Physical Chemistry, Continuum physics, Dynamical systems, Dynamics & statics, Statistical physics, Statistical Physics and Dynamical Systems