Macromolecules in Solution and Brownian Relativity

Mezzasalma, Stefano Antonio

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Table of contents
  • Macromolecules in Solution and Brownian Relativityiii
  • Copyright pageiv
  • Contentsv
  • Forewordix
  • Chapter 1. Classical and Relativistic Mechanics1
  • 1. Historical Summary2
  • 2. Analytical Mechanics8
  • 3. Special Relativity15
  • 4. Relativistic Mechanics30
  • 5. General Relativity40
  • 6. Particular Solutions and Reference Frames65
  • Appendix A74
  • Readings75
  • Chapter 2. The Special Theory of Brownian Relativity79
  • 1. Brownian Motion and Diffusion (Notes)79
  • 2. Postulates of Brownian Relativity: Ideal Polymer and Universality108
  • 3. Real Polymer in a Minkowskian Fluid125
  • Readings133
  • Chapter 3. The General Theory of Brownian Relativity137
  • 1. Geometric Approach to Polymers in Solution137
  • 2. Statistical Gauge and Electromagnetic Analogy162
  • 3. Outlook and Notes168
  • Readings169
  • Chapter 4. The Covariant Scaling of Probability173
  • 1. Vineyard's Van Hove Distribution Function174
  • 2. From Molecule to Macromolecule: True Self-Avoiding Walk Polymer178
  • 3. From Macromolecule to Molecule: Turbulence in Liquids186
  • Readings197
  • Chapter 5. Fundamental Ideas for a Shape Mechanics199
  • 1. Brownian Simultaneity and Uncertainty Relation200
  • 2. Lorentz-Poincaré Transformation: A Toy Model for Geometry202
  • 3. The Static Uncertainty Relation204
  • 4. Materiality and Geometry of Energy207
  • 5. n-Molecular Systems and Pairwise Potential211
  • 6. The Shape-Mechanical Issue216
  • 7. Outlook and Notes227
  • Readings229
  • Subject Index231
Book details
  • Vendor Elsevier S & T
  • SKU 9780123739063
  • ISBN-13 9780080557984
  • Author Mezzasalma, Stefano Antonio
  • Category Science
  • Subject Physical & Theoretical

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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.

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