| Summary: | 碩士 === 國立中央大學 === 物理研究所 === 94 === We present theoretical analyses and numerical simulations for the adhesion-induced
phase separation of multi-component membranes with two types of ligand-receptor
complexes (junctions). We show that after integrating all possible distributions of
the junctions, the system can be regarded as a membrane under an effective external
potential. Mean field theory and Gaussian approximation are used to analyze the
effective membrane potential and we find (i) The height difference of the junctions
is the main factor that drives phase separation at sufficiently large junction height
difference. (ii) In the two phase region far from the mean-field critical point, because
of the higher entropy associated with the softer junctions, phase coexistence occurs
when the effective binding energy of the more rigid junctions is higher. (iii) In the
two phase region near the mean-field critical point, the shape of the effective potential
shows that the phase coexistence occurs when the effective binding energy of softer
junctions is higher. The effect of junction density on the critical point is studied by
Monte Carlo simulations, and the result shows that phase separation occurs at larger
junction height difference as junction density of the system decreases.
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