Elasticity of connected semiflexible quadrilaterals
| Autor: | Mohammadhosein Razbin, Alireza Mashaghi |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
0303 health sciences Quadrilateral Mathematical analysis Propagator 02 engineering and technology General Chemistry 021001 nanoscience & nanotechnology Condensed Matter Physics Poisson distribution Protein filament 03 medical and health sciences symbols.namesake Planar Bending stiffness symbols Elasticity (economics) 0210 nano-technology 030304 developmental biology Physical quantity |
| Zdroj: | Soft Matter. 17:102-112 |
| ISSN: | 1744-6848 1744-683X |
| DOI: | 10.1039/d0sm01719a |
| Popis: | Using the positional-orientational propagator of a semiflexible filament in the weakly bending regime, we analytically calculate the probability densities associated with the fluctuating tip and the corners of a grafted system of connected quadrilaterals. We calculate closed analytic expressions for the probability densities within the framework of the worm-like chain model, which are valid in the weakly bending regime. The probability densities give the physical quantities related to the elasticity of the system such as the force-extension relation in the fixed extension ensemble, the Poisson's ratio and the average of the force exerted to a confining stiff planar wall by the fluctuating tip of the system. Our analysis reveals that the force-extension relations depend on the contour length of the system (material content), the bending stiffness (chemical nature), the geometrical angle and the number of the quadrilaterals, while the Poisson's ratio depends only on the geometrical angle and the number of the quadrilaterals, and is thus a purely geometric property of the system. |
| Databáze: | OpenAIRE |
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