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Free energy of a semiflexible polymer in a tube and statistics of a randomly-accelerated particle

Theodore W Burkhardt

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LETTER TO THE EDITOR

The confinement free energy per unit length of a continuous semiflexible polymer or wormlike chain in a tube with a rectangular cross section is derived in the regime of strong confinement. Here P is the persistence length, and and are the sides of the rectangle. The result is also interpreted in terms of the escape probability of a randomly-accelerated particle from a rectangular domain.


PACS

65.60.+a Thermal properties of amorphous solids and glasses: heat capacity, thermal expansion, etc.

61.41.+e Polymers, elastomers, and plastics

MSC

60H40 White noise theory

60D05 Geometric probability, stochastic geometry, random sets (See also 52A22, 53C65)

82D60 Polymers

Subjects

Soft matter, liquids and polymers

Condensed matter: structural, mechanical & thermal

Dates

Issue 7 (7 April 1997)

Received 10 January 1997



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