Dynamic Properties of One-Dimensional Harmonic Liquids. I ---Density Correlation and Transport Coefficients---

Physics

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Scientific paper

The self-diffusion process and the hydrodynamical motion of the local density and velocity are studied in detail on the basis of the calculation of the self-density correlation function and the density correlation function for a one-dimensional system of particles interacting with nearest-neighbor harmonic forces. The velocity correlation function and the memory function associated with the bulk viscosity are found to decrease in amplitude as t-1/2 for a long time t, but have an oscillation due to the existence of the maixmum frequency in the system. The dissipative effect is ascribed to the structural fluctuation which leads to the lack of crystalline long-range order in one-dimensional systems. For phonon excitations, the same result is obtained as that of the Emery-Axe theory for the mercury chains in the compound Hg3-δAsF6.

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