Correlation in a Gaussian chain with the ends fixed
Department of physics, Graduate School of Humanities and Sciences, Ochanomizu University, Otsuka 2-1-1, Bunkyo-ku, 112-8610, Tokyo, Japan
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Accepted: 28 November 2006
Published online: 4 January 2007
We consider an ideal chain whose ends are fixed without fluctuation at different points, possibly by optical tweezers. We derive a two-point probability distribution of a corresponding random walk and explicitly calculate the scattering function. We find that the contour plot of the resulting function shows a kind of normal butterfly pattern, contaminated by wavy texture. These results are compared with some representative previous models.
PACS: 82.35.Lr Physical properties of polymers – / 82.37.Rs Single molecule manipulation of proteins and other biological molecules – / 05.40.Fb Random walks and Levy flights –
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2007