Molecular dynamics studies on spatial scale of low energy excitation in a simple polymer system

Details Molecular dynamics studies on spatial scale of low energy excitation in a simple polymer system Molecular dynamics studies on spatial scale of low energy excitation in a simple polymer system

2007-04-19

arxiv.org/abs/0704.2443v3

Physics

Condensed Matter

Materials Science

4 pages, 3 figure; Figure 3 replced; Abstract replced

Scientific paper

A molecular dynamics simulation is performed to investigate spatial scale of low energy excitation (LEE) in a single linear chain of united atoms. The self part of the dynamic structure function, $S_\mathrm{S}(q,\omega)$, is obtained in a wide range in frequency space ($\omega$) and reciprocal space ($q$). A broad peak corresponding to the LEE is detected at $\omega/2\pi=2.5 \times 10^{11} \mathrm{s^{-1}}$ ($\equiv \omega_{\mathrm{LEE}}/2\pi$) on the contour maps of $S_\mathrm{S}(q,\omega)$, near and below the glass transition temperature ($T_{\mathrm{g}}$=230 K). The $S_\mathrm{S}(q,\omega_{\mathrm{LEE}})$ is symmetric around a maximum along the logarithm of $q$. The inverse of $q_{\mathrm{max}}$, giving the maximum position of $S_\mathrm{S}(q,\omega_{\mathrm{LEE}})$, depends on temperature as $2\pi/q_{\mathrm{max}}\sim T^{0.52}$ for $60 \mathrm{K}

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