Rouse Model Rouse relaxation time τ R entropic elasticity viscosity η Rouse モデル (Rouse model) ガウス鎖(理想鎖)とみなせる can be considered as a Gauss chain Kuhn segment single bead n K = 8 N 個のビーズをバネで繋いだだけのモデル N beads connected by springs エントロピーばね entropy spring r の分布 P(r ) ∝ exp − 3 2 r 2 0 r 2 ⎛ ⎝ ⎜ ⎜ ⎞ ⎠ ⎟ ⎟ r Gaussian distribution a single Kuhn segment distribution of r P(r ) ∝ exp − U (r ) k B T ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ Compare this with the Boltzmann distribution: これをボルツマン分布と比較: U (r ) = 3k B T 2 r 2 0 r 2 = 1 2 kr 2 ポテンシャル potential バネ定数 k = 3k B T r 2 0 = 3k B T b 2 力 f = − ∂U ∂r = −kr spring constant force エントロピーばね K 2 1 3 n T k k B ∝ = r r k r r r エントロピー大 エントロピー小 自由エネルギー大 自由エネルギー小 larger entropy smaller entropy smaller free energy larger free energy favorable
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entropy spring エントロピーばねctRouse Model Rouse relaxation time τR entropic elasticity viscosity ηRouse モデル(Rouse model) ガウス鎖(理想鎖)とみなせる can
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