Fluctuations, diffusion, and spin relaxation
Author(s)
Bibliographic Information
Fluctuations, diffusion, and spin relaxation
（Studies in physical and theoretical chemistry, 43）
Elsevier, 1986
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Includes bibliographies and index
Description and Table of Contents
Description
It is well known that NMR is an excellent tool for the study of those molecular systems that are characterized by a great number of spatial configurations, high entropy and the presence of significant random movements, such as liquids, polymers and biological cellular systems. The aim of this book is to introduce some new ideas to the subject. The book is theoretical and conceptual in character. It has grown out of lectures given by the author on general physiology and the elements of biophysics, and from his lectures and seminars given at, among others, the Congresses of the European Society of NMR in Biology and Medicine. The information is presented in six chapters and follows a logical development of the subject. The probabilistic and statistical fundamentals are first introduced. The theory of spin relaxation is derived from the classical and quantum theory of linear irreversibility. Diffusion and flow are treated here with particular application to living systems such as the NMR blood flow-meters, flow imaging, the dynamics and order in water systems of plants and tumors.
Table of Contents
1. Background Material. Introductory remarks. Notion of correlation. Spectral representation. Entropy. Statistical thermodynamics of nuclear spins. 2. Phenomenological Theory of Irreversibility and NMR. Phenomenological laws of irreversibility. Irreversible entropy production. Bloch phenomenological equations. 3. Stochastic Processes. Brownian motion. Fokker-Planck equation and related problems. Applications. 4. New Trends and Problems in NMR. Local equilibrium assumption. Non-equilibrium density operator. Quantum irreversible thermodynamics of spin-lattice relaxation. Generalized Bloch-Langevin equation. Statistical mechanics of double irradiation. Some particular methods in pulse NMR. 5. The NMR Studies of Diffusion and Flow. Isotropic rotational diffusion. Anisotropic rotational diffusion. Spin-rotational interaction. Translational diffusion. Generalized spectral density functions. Slow motion. Measurements of diffusion and flow by NMR. Diffusion and relaxation in liquid crystals. 6. Biological Water and Biodynamics. Fundamental properties of water. ``Structured'' water aggregates. NMR of biological water in plant and tumor biology. Biodynamics and NMR. Appendix: Density operator. Spin Hamiltonian. Rotation operators. Liouville-von Neumann (LN) equation. Superoperators. Interaction representation. The Liouville space. Projectors and memory functions. A simple gated RF-amplifier. (All chapters include References). Subject Index.
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