• Journal of the Korean Chemical Society
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• v.20 no.5
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• pp.340-350
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• 1976

Linear response theory is proposed to be applied for theoretical description of the phenomena in mechanical spectroscopy of solid high polymers below glass transition temperatures. The energy dissipation by sample is given in terms of certain time correlation functions. It is shown that the result leads to the result by Kirkwood on the energy loss and relaxation of cross-linked polymers, if the Liouville operator is replaced by the diffusion equation operator of Kirkwood. An approximation method of calculating the correlation functions is considered in order to show a way to calculate relaxation times. Using the approximation method, we consider a double-well potential model for energy relaxation, in order to see a connection between the present theory and a model theory used in mechanical energy relaxation phenomena of solid polymers containing pendant cyclohexyl groups at low temperature.

• Bulletin of the Korean Chemical Society
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• v.34 no.5
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• pp.1454-1456
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• 2013

The fluctuations in concentrations of reactants dominate the long-time dynamics of the single (A + A ${\rightarrow}$ 0) and two species (A + B ${\rightarrow}$ 0) diffusion-influenced annihilation reactions. Although hierarchical Smoluchowski approaches can provide a systematic and flexible framework to deal with the fluctuation effects, their results are too complicated to be analytically solved. For the efficient numerical calculation of the complicated fluctuation effect terms, we show that the presented point particle approximation is not only practical but also quite accurate for most conditions in diffusion-influenced reaction systems.

• Journal of the Society of Naval Architects of Korea
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• v.37 no.4
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• pp.40-47
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• 2000

The cavitation noise of a hydrofoil is measured in a cavitation tunnel. It is exhibited that the noise level sharply increases with the inception of cavitation and increase with the decrease of the cavitation number until a moderate cavitation number. Below the cavitation number, the trend is reversed, which may be resulted from the interference effect between cavities. The trajectory of bubble is predicted by using the Lagrangian method. Meanwhile the size of the bubble is predicted based on the Kirkwood-Bethe approximation. The predicted results for the bubble size are compared with the experimental results. It is shown that the numerical method predicts the time history of cavities fairly well.