Abstract
We investigate the transition between a twisted regime and a disordered regime in a directed ribbon model on a cubic lattice. A fugacity corresponding to an interaction which models half-twists in the ribbon is introduced and the interacting model is solved exactly. Our results suggest that conformational entropy and a local interaction which induces twist are key ingredients to model qualitatively the crossover behavior between a twisted (helical) regime and a denatured regime in duplex biopolymers such as DNA.
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References
W. Kuhn and H. Kuhn,Helv. Chim. Acta 26:1394 (1943).
N. Madras and G. Slade,The Self-Avoiding Walk (Birkhäuser, Boston, 1993).
J. D. Watson,Molecular Biology of the Gene (Benjamin, New York, 1971).
N. R. Cozzarelli,Proc. Symp. Appl. Math. 45:1 (1992).
W. R. Bauer, F. H. C. Crick, and J. H. White,Sci. Am. 243(1):118 (1980).
J. H. White,Am. J. Math. 91:693 (1969).
E. J. Janse van Rensburg, E. Orlandini, D. W. Sumners, M. C. Tesi, and S. G. Whittington,Phys. Rev. E 50:R4279 (1994).
V. Privman and N. M. Švrakić,Directed Models of Polymers, Interfaces and Clusters: Scaling and Finite-Size Properties (Springer-Verlag, Berlin, 1989).
R. Brak, A. J. Guttmann, and S. G. Whittington,J. Phys. A: Math. Gen. 25:2437 (1992).
E. Hille,Functional Analysis and Semi-Groups (American Mathematical Society, New York, 1948).
S. A. Rice and P. Doty,J. Am. Chem. Soc. 79:3937 (1957).
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Orlandini, E., Janse van Rensburg, E.J. Twist in an exactly solvable directed lattice ribbon. J Stat Phys 80, 781–791 (1995). https://doi.org/10.1007/BF02178554
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DOI: https://doi.org/10.1007/BF02178554