The average shape of the closed trefoil knot fluctuating on a floppy rope

The average shape of the trefoil knot tied on a floppy, hard rope subject to thermal fluctuations has been determined. The fluctuations of the shape of knots were performed by random bending. As a result of the changing shape procedure large sets of deformed conformations of the initial knot were ob...

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Bibliographic Details
Published inThe European physical journal. E, Soft matter and biological physics Vol. 36; no. 5; p. 47
Main Authors Modlinski, Marcin, Przybyl, Sylwester, Pieranski, Piotr
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2013
EDP Sciences
Subjects
Applied sciences
Biological and Medical Physics
Biophysics
Complex Fluids and Microfluidics
Complex Systems
Exact sciences and technology
Nanotechnology
Organic polymers
Physicochemistry of polymers
Physics
Physics and Astronomy
Polymer Sciences
Properties and characterization
Regular Article
Soft and Granular Matter
Structure, morphology and analysis
Surfaces and Interfaces
Thin Films
Soft Matter: Polymers and Polyelectrolytes
Thermal stress
Theoretical study
Polymer
Numerical simulation
Knot
Modeling
Conformation
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Summary:The average shape of the trefoil knot tied on a floppy, hard rope subject to thermal fluctuations has been determined. The fluctuations of the shape of knots were performed by random bending. As a result of the changing shape procedure large sets of deformed conformations of the initial knot were obtained. Afterwards, these sets were subject to the shape-fitting procedure. It has been found that the conformation is different from the ideal conformation of the knot. Graphical abstract
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:1292-8941
1292-895X
1292-895X
DOI:10.1140/epje/i2013-13047-6