Description

This book illustrates the recent picture of statistical physics of polymers and polymer solutions that emerges from some paradigms of contemporary science joint together. Among its principal aims are discussing the consequences of a novel self-diffusion theory, which benefits from an extension towards relativistic-like principles, and the generalization of usual concepts met in polymer science in terms of geometry alone. The monograph gives the whole fundamentals necessary to handle the view proposed, which is set in the final chapters. All the formers see about to provide the reader with a comprehensive treatation of the necessary fundamentals of classical, relativistic, quantum and statistical mechanics. Among the most important mechanical theories ever developed, a chapter on the Brownian movement and another on macromolecules prepare the ground that is specific to face universality and scaling behaviors in polymer solutions. The scope of the book is therefore two-fold: On the one hand, it wishes to involve the readers and scholars into a new research on polymer physics and chemistry. On the other, to get close chemical physicists and physical chemists to disciplines which, traditionally, are far from their direct fields of interest.

Key Features

Cross-disciplinarity Novelty Potentiality

Readership

Theoretical scientists Applied scientists Computationalists

Table of Contents

1 Classical and Relativistic Mechanics 7 1.1 Historical Summary . . . . . . . . . . . . . . . . . . . . . . 7 1.2 Analytical Mechanics . . . . . . . . . . . . . . . . . . . . . . 14 1.2.1 Lagrangian Mechanics and Hamilton's Principle . . 14 1.2.2 Hamiltonian Mechanics . . . . . . . . . . . . . . . . 18 1.2.3 Poisson's Brackets and Canonical Transformations . 19 1.2.4 Liouville's Theorem . . . . . . . . . . . . . . . . . . 21 1.3 Special Relativity . . . . . . . . . . . . . . . . . . . . . . . . 22 1.3.1 Einstein's Postulates . . . . . . . . . . . . . . . . . . 22 1.3.2 Lorentz-Poincar_e Transformation . . . . . . . . . . . 23 1.3.3 Rules of Length Contraction and Time Dilation . . . 25 1.3.4 Classi_cation of Events . . . . . . . . . . . . . . . . 26 1.3.5 Notes on Tensor Analysis . . . . . . . . . . . . . . . 28 1.3.6 Covariant and Contravariant Vector Components . . 29 1.3.7 Tensor Formulation of Special Relativity . . . . . . . 31 1.3.8 Maxwell's Equations and Gauge Symmetry . . . . . 33 1.3.9 Lorentz-Poincar_e Invariance of Electrodynamics . . . 35 1.3.10 Doppler's E_ect . . . . . . . . . . . . . . . . . . . . 36 1.3.11 Criticism of the Einstein's Postulates . . . . . . . . . 37 1.4 Relativistic Mechanics . . . . . . . . . . . . . . . . . . . . . 40 1.4.1 Point Particle Dynamics . . . . . . . . . . . . . . . . 40 1.4.2 Energy and Momentum . . . . . . . . . . . . . . . . 41 1.4.3 Hamilton's Principle and Mechanics . . . . . . . . . 43 1.4.4 Experimental Con_rmations . . . . . . . . . . . . . . 44 1.4.5 Notes on General Field Theory and Noether's Theorem 45 1.5 General Relativity . . . . . . . . . . . . . . . . . . . . . . . 52

Details

No. of pages:
248
Language:
English
Copyright:
© 2008
Published:
Imprint:
Academic Press
Print ISBN:
9780123739063
Electronic ISBN:
9780080557984