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Volumn 85, Issue 18, 2000, Pages 3858-3861

Critical exponents for random knots

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONFORMATIONS; MOLECULAR STRUCTURE; NUMERICAL ANALYSIS; RANDOM PROCESSES; TOPOLOGY;

EID: 0034292653     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.3858     Document Type: Article
Times cited : (163)

References (35)
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    • 0343043228 scopus 로고    scopus 로고
    • note
    • Excluded volume can be neglected under the condition z = (d/l)√N ≪ 1 (Ref. [27], P. 91), where d is the segment diameter. Under this condition volume exclusion is completely insignificant, while the very fact that segments cannot pass through one another is preserved, and so is the topology.
  • 11
    • 0039023668 scopus 로고
    • D. W. Sumners and S. G. Whittington, J. Phys. A 21, 1689 (1988); N. Pippenger, Discrete Appl. Math. 25, 273 (1989).
    • (1989) Discrete Appl. Math. , vol.25 , pp. 273
    • Pippenger, N.1
  • 12
    • 0343914829 scopus 로고    scopus 로고
    • note
    • 2, integration runs along the entire polymer length Nl, and l is called the effective Kuhn segment.
  • 18
    • 0343043224 scopus 로고    scopus 로고
    • private communication
    • B. Duplantier (private communication).
    • Duplantier, B.1
  • 19
    • 0343914828 scopus 로고    scopus 로고
    • note
    • We adopt here the terminology in which phantom stands for the chain whose segments can freely pass through one another, irrespective of excluded volume.
  • 24
    • 0039643686 scopus 로고
    • E. Orlandini, M. C. Tesi, E. J. Janse van Rensburg, and S. G. Whittington, J. Phys. A 31, 5953 (1988); E. J. Janse van Rensburg and S. G. Whittington, J. Phys. A 24, 3935 (1991).
    • (1991) J. Phys. A , vol.24 , pp. 3935
    • Janse Van Rensburg, E.J.1    Whittington, S.G.2
  • 25
    • 0343043222 scopus 로고    scopus 로고
    • note
    • The concept of an unknotted polymer confined within a knotted tube is subtle. It can be explained in the following way: First, let us quench our polymer inside the tube with respect to the tube walls. Then, let us pretend that the tube is phantom and bring it to the trivial knot nonoverlapping state. If our polymer is in a trivial knot state after this procedure, we say that it was unknotted within the tube.
  • 27
    • 0043247465 scopus 로고    scopus 로고
    • edited by S. Suzuki World Scientific, Singapore
    • T. Deguchi and K. Tsurusaki, in Lectures at Knots96, edited by S. Suzuki (World Scientific, Singapore, 1997), p. 95.
    • (1997) Lectures at Knots96 , pp. 95
    • Deguchi, T.1    Tsurusaki, K.2
  • 32
    • 0022909525 scopus 로고
    • Paris
    • M. E. Cates and J. M. Deutsch, J. Phys. (Paris) 47, 2121 (1986); M. G. Brereton and T. A. Vilgis, J. Phys. A 28, 1149 (1995).
    • (1986) J. Phys. , vol.47 , pp. 2121
    • Cates, M.E.1    Deutsch, J.M.2
  • 33
    • 21844522768 scopus 로고
    • M. E. Cates and J. M. Deutsch, J. Phys. (Paris) 47, 2121 (1986); M. G. Brereton and T. A. Vilgis, J. Phys. A 28, 1149 (1995).
    • (1995) J. Phys. A , vol.28 , pp. 1149
    • Brereton, M.G.1    Vilgis, T.A.2
  • 35
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    • M. Muller, J. P. Wittmer, and M. E. Cates, Phys. Rev. E 53, 5063 (1996); 61, 4078 (2000).
    • (2000) Phys. Rev. E , vol.61 , pp. 4078


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.