TY - JOUR
T1 - Limits of analogy between self-avoidance and topology-driven swelling of polymer loops
AU - Moore, N. T.
AU - Grosberg, A. Y.
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2005/12
Y1 - 2005/12
N2 - The work addresses the analogy between trivial knotting and excluded volume in looped polymer chains of moderate length, where the effects of knotting are small. A simple expression for the swelling seen in trivially knotted loops is described and shown to agree with simulation data. Contrast between this expression and the well-known expression for excluded volume polymers leads to a graphical mapping of excluded volume to trivial knots, which may be useful for understanding where the analogy between the two physical forms is valid. The work also includes description of a new method for the computational generation of polymer loops via conditional probability. Although computationally intensive, this method generates loops without statistical bias, and thus is preferable to other loop generation routines in the region of interest.
AB - The work addresses the analogy between trivial knotting and excluded volume in looped polymer chains of moderate length, where the effects of knotting are small. A simple expression for the swelling seen in trivially knotted loops is described and shown to agree with simulation data. Contrast between this expression and the well-known expression for excluded volume polymers leads to a graphical mapping of excluded volume to trivial knots, which may be useful for understanding where the analogy between the two physical forms is valid. The work also includes description of a new method for the computational generation of polymer loops via conditional probability. Although computationally intensive, this method generates loops without statistical bias, and thus is preferable to other loop generation routines in the region of interest.
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U2 - 10.1103/PhysRevE.72.061803
DO - 10.1103/PhysRevE.72.061803
M3 - Article
AN - SCOPUS:33244486497
VL - 72
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 6
M1 - 061803
ER -