title: Correlation in a Gaussian chain with the ends fixed.
abstract: 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.
authors.affiliation: Department of physics, Graduate School of Humanities and Sciences, Ochanomizu University, Otsuka 2-1-1, Bunkyo-ku, 112-8610, Tokyo, Japan.
authors.forename: K
authors.initials: K
authors.lastname: Kawai
authors.forename: K
authors.initials: K
authors.lastname: Okumura
mesh_terms: D001703:Biophysics / Q000295:instrumentation* / Q000379:methods; D005782:Gels; D009682:Magnetic Resonance Spectroscopy; D015233:Models, Statistical; D008962:Models, Theoretical; D016011:Normal Distribution; D052898:Optical Tweezers; D011108:Polymers / Q000737:chemistry; D011336:Probability; D012542:Scattering, Radiation
chemical_list: D005782:Gels; D011108:Polymers