Correlation in a Gaussian chain with the ends fixed

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 functi...

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Bibliographic Details
Published in:The European physical journal. E, Soft matter and biological physics Soft matter and biological physics, 2006-11, Vol.21 (3), p.223-230
Main Authors: KAWAI, K, OKUMURA, K
Format: Article
Language:English
Subjects:
Applied sciences
Biophysics - instrumentation
Biophysics - methods
Exact sciences and technology
Gels
Magnetic Resonance Spectroscopy
Models, Statistical
Models, Theoretical
Normal Distribution
Optical Tweezers
Organic polymers
Physicochemistry of polymers
Polymers - chemistry
Probability
Properties and characterization
Scattering, Radiation
Structure, morphology and analysis
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Summary: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.
ISSN:1292-8941
1292-895X
DOI:10.1140/epje/i2006-10062-8