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Nonlinearity and Chaos in Molecular Vibrations deals systematically with a Lie algebraic approach to the study of nonlinear properties of molecular highly excited vibrations. The fundamental concepts of nonlinear dynamics such as chaos, fractals, quasiperiodicity, resonance, and the Lyapunov exponent, and their roles in the study of molecular vibrations are presented. The 20 chapters cover the basic ideas, the concept of dynamical groups, the integrable two-mode SU(2) system, the unintegrable three-mode SU(3) system, the noncompact su(1,1) algebraic application, su(3) symmetry brea

Mathematical statistics --- Molecular rotation. --- Nonlinear theories. --- Chaotic behavior in systems. --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Hindered rotation theory --- Internal rotation (Molecular) --- Molecules --- Rotation spectra --- Molecular dynamics --- Stereochemistry --- Internal rotation

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The subject of this book is the physics of vortices. A detailed analysis of the dynamics of vortices will be presented. The important topics of vorticity and molecular spin will be dealt with, including the electromagnetic analogy and quantization in superfluids. The effect of molecular spin on the dynamics of molecular nano-confined fluids using the extended Navier-Stokes equations will also be covered –especially important to the theory and applicability of nanofluidics and associated devices. The nanoscale boundary layer and nanoscale vortex core are regions of intense vorticity (molecular spin). It will be shown, based on molecular kinetic theory and thermodynamics, that the macroscopic (solid body) rotation must be accompanied by internal rotation of the molecules. Electric polarization of the internal molecular rotations about the local rotation axis –the Barnett effect – occurs. In such a spin aligned system, major changes in the physical properties of the fluid result.

Molecular dynamics. --- Nanoscience. --- Vortex-motion. --- Vortex-motion --- Nanofluids --- Engineering & Applied Sciences --- Applied Mathematics --- Applied Physics --- Molecular rotation. --- Hindered rotation theory --- Internal rotation (Molecular) --- Molecules --- Rotation spectra --- Internal rotation --- Physics. --- Fluids. --- Nanoscale science. --- Nanostructures. --- Nanotechnology. --- Fluid- and Aerodynamics. --- Nanotechnology and Microengineering. --- Nanoscale Science and Technology. --- Aerodynamics --- Eddies --- Fluid dynamics --- Hydrodynamics --- Rotational motion --- Molecular dynamics --- Stereochemistry --- Engineering. --- Construction --- Industrial arts --- Technology --- Molecular technology --- Nanoscale technology --- High technology --- Nano science --- Nanoscale science --- Nanosciences --- Science --- Hydraulics --- Mechanics --- Physics --- Hydrostatics --- Permeability --- Nanoscience

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Fysicochemical analysis in organic chemistry --- Chemical structure --- fysicochemie --- Molecular physics --- 541.65 --- 539.194 --- Molecular rotation --- #WSCH:AAS2 --- #WSCH:MODS --- #WSCH:FY14 --- Hindered rotation theory --- Internal rotation (Molecular) --- Molecules --- Rotation spectra --- Molecular dynamics --- Stereochemistry --- Relation of chemical structure to optical properties --- Internal mechanics of molecules. Energy relationships. Vibration and rotation in molecules. Electronic levels. Bonds. Resonance energies, potentials. Nuclear coupling. Polarizability etc. --- Internal rotation --- Molecular rotation. --- 539.194 Internal mechanics of molecules. Energy relationships. Vibration and rotation in molecules. Electronic levels. Bonds. Resonance energies, potentials. Nuclear coupling. Polarizability etc. --- 541.65 Relation of chemical structure to optical properties --- Internal mechanics of molecules. Energy relationships. Vibration and rotation in molecules. Electronic levels. Bonds. Resonance energies, potentials. Nuclear coupling. Polarizability etc