| Budget Amount *help |
¥6,760,000 (Direct Cost: ¥5,200,000、Indirect Cost: ¥1,560,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2016: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
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| Outline of Final Research Achievements |
Sound waves can convey the momentum and energy in gases without unidirectional flows. We can examine the transport properties of sound by solving the system of Navier-Stokes equations, if the wavelength is sufficiently large compared with the mean free path of gas molecules and the frequency is sufficiently small compared with the mean collision frequency of gas molecules. The propagation properties of short-wavelength sound have been studied by the kinetic theory of gases based on the Boltzmann equation and several discrepancies have been found between the predictions by Navier-Stokes and Boltzmann equations. However, the kinetic theory is subject to the crucial constraint that a molecule must be negligibly small compared with any other length scales concerned, and hence sound waves with wavelength of nanometers cannot be treated in the kinetic theory. We therefore consider the application of molecular dynamics to the problems of propagation of sound with wavelength of nanometers.
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