Helical polymer in cylindrical confining geometries

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 5 1, 2004, Pages

  Lamura, A ^a,b   Burkhardt, T W ^b,c   Gompper, G ^b  

^a CNR   (Italy)

^b FORSCHUNGSZENTRUM JÜLICH   (Germany)

^c Temple University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHOLESTEROL; COMPUTER SIMULATION; CONFORMATIONS; DNA; FREE ENERGY; FUNCTIONS; MONOMERS; PHOSPHOLIPIDS; PROBABILITY; SOLUTIONS; SURFACE ACTIVE AGENTS; VECTORS;

BOLTZMANN PROBABILITY; GAUSSIAN FLUCTUATIONS; HELICAL POLYMERS; HELICAL STRUCTURE;

POLYMERS;

EID: 37649027030     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.051804     Document Type: Article

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26. 3ds yields Eq. (11).
27. 3 are allowed, but they represent a negligible fraction of all intersections.
28. The error bars in the results (22) for the helical polymer are larger than in the results (6) for a semiflexible polymer or wormlike chain, obtained in Ref. [21], Instead of a wormlike chain, the authors of Ref. [21] simulate a Newtonian particle which is randomly accelerated in two dimensions. In the narrow pore limit the two systems have equivalent statistical properties. The simulation algorithm of Ref. [21] makes use of exact analytical results for the random acceleration problem and permits precision simulations for very long times - i.e., very long polymer chains. The earlier, less precise results of Ref. [19] for the wormlike chain, given just below Eq. (6), were obtained by simulating a polymer with bending energy in accordance with Boltzmann statistics, using a Metropolis algorithm.
29. p, = s, as discussed below Eq. (20).