2.3 高分子のトポロジー的絡み合い効果II: ランダム結び目の平均サイズの増大　
Topological entanglement of polymers II:
Enhancement of the average size of random knots (5POP)

原著論文　 Original papers

1. M. K. Shimamura, and T. Deguchi,
   Gyration radius of a circular polymer under a topological constraint with excluded volume,
   Phys. Rev. E 64, 020801(R) (2001). (cond-mat/0104022)

2. M. K. Shimamura and T. Deguchi,
   Anomalous finite-size effects for the mean-squared gyration radius of Gaussian random knots,
   J. Phys. A: Math. Gen. 35 (2002) L241-L246. (cond-mat/0108529)

3. M. K. Shimamura and T. Deguchi,
   Finite-size and asymptotic behaviors of the gyration radius of cylindrical self-avoiding polygons,
   Phys. Rev. E 65, 051802 (2002) (9 pages) (cond-mat/0202106),

4. T. Deguchi and M. K. Shimamura,
   Topological effects on the average size of random knots,
   Contemporary Math. 304 (2002) 93-114.

5. M. K. Shimamura and T. Deguchi,
   Geometric complexity of conformations of ring polymers under topological constraints,
   cond-mat/0211504.

6. H. Matsuda, A. Yao, H. Tsukahara, T. Deguchi, K. Furuta and T. Inami,
   Average size of random polygons with fixed knot topology,
   to appear in Phys. Rev. E (2003). (cond-mat/0303481)

国際会議の報告　 Proceedings of international conferences

1. T. Deguchi,
   Topological swelling of random knots,
   to appear in the proceedings of the 1st International Symposium on ``New Developments of Integrated Sciences'', March 11-14, 2003, edited by H. Yoshida, School of Integrated Sciences, Graduate School of Humanities and Sciences, Ochanomizu University, Tokyo, Japan.

解説（日本語）

1. 出口 哲生、
   　ランダム結び目と高分子の物理学、
   「２０世紀の物理学」、江沢洋 編著、サイエンス社 (1998) pp. 51-60. ( B.SR2] の再録）

2. 出口 哲生、
   高分子の結び目と絡み合いの物理学、
   科学（岩波）70 (2000) pp. 666-673.