抄録
A statistical mechanical theory of the configuration of long flexible linear polymers is developed with pearl-necklace model. The “volume effect” is taken into account, the potential between two non-neighboring structural units being assumed to be of rigid sphere type. Using the method of coupling parameter and the technique of Laplace transform, we obtained the moments of end-to-end distance of polymers. Especially the average square of end-to-end distance is given by
⟨r2⟩\simeqNb2\left[1+\frac43\sqrt\frac6π\left(\fracab\
ight)3\left(1+\frac15\left(\fracab\
ight)2+···\
ight)\sqrtN\
ight]
where N1 a and b are respectively number of structural units or beads of a polymer, diameter of a bead and bond length.
