Zobrazeno 1 - 10
of 116
pro vyhledávání: '"Ogura, Haruo"'
A minor improvement is made to the calculation of the inhomogeneity term. The new calculation gives better agreement with the observations of Daoud et al. and Cheng-Graessley-Melnichenko.
Comment: 6 pages, 7 figures
Comment: 6 pages, 7 figures
Externí odkaz:
http://arxiv.org/abs/2407.10610
On the basis of the thermodynamic theory of the excluded volume effects, we show that the size exponent varies abruptly, depending on the change of the segment concentration. For linear polymers, the exponent changes discontinuously from $\nu=3/5$ fo
Externí odkaz:
http://arxiv.org/abs/2403.00356
The segment distribution around the center of gravity is derived for unperturbed ring polymers. We show that, although a small difference is observed, the exact distribution can be well approximated by the Gaussian probability distribution function.<
Externí odkaz:
http://arxiv.org/abs/2206.12878
Branched polymers can be classified into two categories that obey the different formulae: \begin{equation} \nu= \begin{cases} \hspace{1mm}\displaystyle\frac{2(1+\nu_{0})}{d+2} & \hspace{3mm}\mbox{for polymers with}\hspace{2mm}\displaystyle\nu_{0}\ge\
Externí odkaz:
http://arxiv.org/abs/2203.01669
We investigate the excluded volume effects in good solvents for the isolated comb polymers having $\nu_{0}=1/4$. In particular, we investigate the change of the size exponent, $\nu$, defined by $\langle s_{N}^{2}\rangle\propto N^{2\nu}$, for the vari
Externí odkaz:
http://arxiv.org/abs/2112.10051
We discuss the extension of the empirical equation: $\left\langle s_{N}^{2}\right\rangle_{0}\propto g\,l^{2}$, where the subscript 0 denotes the ideal value with no excluded volume and $g$ the generation number from the root to the youngest (outermos
Externí odkaz:
http://arxiv.org/abs/2105.07379
The segment distribution around the center of gravity is investigated for a special comb polymer (triangular polymer) having the side chains of the same generation number, $g$, as the main backbone. Common to all the other polymers, the radial mass d
Externí odkaz:
http://arxiv.org/abs/2012.13893
Mathematical expressions for mass distributions around the center of gravity are derived for branched polymers with the help of the Isihara formula. We introduce the Gaussian approximation for the end-to-end vector, $\vec{r}_{G\nu_{i}}$, from the cen
Externí odkaz:
http://arxiv.org/abs/2006.10130
We give a mathematical proof for the preceding derivation of the excluded volume theory on the basis of the thermodynamic theory, the concept of diffusion, and the theory of total differential.
Comment: 6 pages, 1 figure, 1 table
Comment: 6 pages, 1 figure, 1 table
Externí odkaz:
http://arxiv.org/abs/1903.03950
We present the alternative derivation of the excluded volume equation. The resulting equation is mathematically identical to the one proposed in the preceding paper. As a result, the theory reproduces well the observed points by SANS (small angle neu
Externí odkaz:
http://arxiv.org/abs/1811.07280