Statistical Properties of Lattice Chains
Ei Teramoto, M. Kurata, Riichirǒ Chûjô, C. Suzuki, K. Tani, Tomohiro Kajikawa · Journal of the Physical Society of Japan · 1955
The statistical problems of chains are divided into three classes i,e. ideal type, real type and production type, and these three types of the chain problems are investigated by the use of relatively short lattice chains. We performed the complete enumeration of the dimensions of two-dimensional square lattice chains up to the bond number N =20 and three dimensional simple cubic lattice chains up to N =8. As for the mean square end-to-end distance , we obtained the results that the chains of real type have always larger values of / N than that of the chain of production type and its value seems to diverge as N →∞. The distribution of the end-to-end distances has a form which appreciably deviates from that of Gaussian distribution. A study also is made on the total number of configurations of lattice chains.