Reconsideration of two-body approximation used in the mode-coupling theory of glass transition phenomenon

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  • ガラス転移現象のモード結合理論における二体近似の再検討
  • ガラス テンイ ゲンショウ ノ モード ケツゴウ リロン ニ オケル ニタイ キンジ ノ サイケントウ

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Abstract

Bilinear approximation used in the derivation of the memory function of mode-coupling theory (MCT)is reviewed and reconsidered by means of an operator identity . Within two-body approximation, a correction partis derived from usually neglected part from the fluctuating force of MCT. Finally, a modified MCT equation,which is able to adjust the glass transition temperature to more accurate point than that of ordinary MCT, is derivedon several assumptions.

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