Statistical Mechanics of Biomembrane Phase Transition.II.The First Order Transition with Pseudo-Critical Properties

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概要

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• The modified dimer model representing the cooperative nature of the conformationchanges of the hydrocarbon chains is analyzed on the basis of the transfer matrixformalism established rigorously in the previous paper. The frcc cncrgy is evaluated inthe limit of infinite dimer lattices by means of the trial function of the free fermion type.The power series expansion of the free energy with respect to p, the disorder parameter,has been calculated up to the p' term without resorting to any further approximation.The modified dimer model is extended so as to include the dilation of the dimer lattice.This extended model with certain parameter values exhibits the first order phasetransition. Finiteness of the hydrocarbon chains is also taken into consideration in ourformalism. The finiteness may bring the transition point to the vicinity of the spinodal.In consequence, the pseudo-critical phenomena appear in a very narrow temperatureregion around the transition point. The quasi-critical behavior observed at and aroundthe main transition is interpreted as such.

• 社団法人日本物理学会の論文
• 1982-03-15

著者

• IZUYAMA Takeo

  Institute of Physics,College of Arts and Science,University of Tokyo

• AKUTSU Yasuhiro

  Institute of Physics, College of general Education University of Tokyo

• Izuyama Takeo

  Institute Of Physics College Of Aris And Sciences University Of Tokyo

• Akutsu Yasuhiro

  Institute Of Physics College Of General Education University Of Tokyo

• Akutsu Yasuhiro

  Institute Of Physics College Of Arts And Sciences University Of Tokyo

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