Topics in fluctuating nonlinear hydrodynamics
Models of fluctuating nonlinear hydrodynamics have enjoyed much success in explaining the effect of long-wavelength fluctuations in diverse hydrodynamic systems. This thesis explores two such problems; in both, the body of hydrodynamic assumptions powerfully constrains the predictions of a well-posed theory. The effects of layer fluctuations in smectic-A liquid crystals are first examined. The static theory (introduced by Grinstein and Pelcovits) is reviewed. Ward identities, resulting from the arbitrariness of the layering direction, are derived and exploited. The static results motivate an examination of dynamic fluctuation effects. A new sound-damping experiment is proposed that would probe singular dependence of viscosities on applied stress. A theory of Procaccia and Gitterman that reaction rates of chemically reacting binary mixtures are drastically reduced near their thermodynamic critical points is analyzed. Hydrodynamic arguments and Van Hove theory are applied, concluding that the PG idea is drastically slowed, and spatially varying composition fluctuations are at best slowed down over a narrow range of wavenumbers.
- Research Organization:
- Harvard Univ., Boston, MA (USA)
- OSTI ID:
- 7148895
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
HYDRODYNAMICS
FLUCTUATIONS
NONLINEAR PROBLEMS
LIQUID CRYSTALS
LAYERS
WARD IDENTITY
CRYSTALS
FLUID MECHANICS
FLUIDS
LIQUIDS
MECHANICS
VARIATIONS
640410* - Fluid Physics- General Fluid Dynamics
657000 - Theoretical & Mathematical Physics