DOI: 10.1073/pnas.71.8.3050. Classical Statistical Mechanics of Constraints: A Theorem and Application to Polymers

Classical Statistical Mechanics of Constraints: A Theorem and Application to Polymers

10.1073/pnas.71.8.3050

Crossref journal-article

Proceedings of the National Academy of Sciences

Proceedings of the National Academy of Sciences (341)

Abstract

A classical system of mass points subject to holonomic constraints has a kinetic energy dependent on the coordinates as well as the moments of the remaining degrees of freedom. Coordinate averages formed in the reduced space of unconstrained coordinates and their conjugate momenta then involve a metric determinant that may be difficult to evaluate. A theorem is derived that permits a relatively easy evaluation when the constraints are distances between particles, and an application is made to a Kramers type freely jointed chain.

Bibliography

Fixman, M. (1974). Classical Statistical Mechanics of Constraints: A Theorem and Application to Polymers. Proceedings of the National Academy of Sciences, 71(8), 3050â3053.

Authors 1

Marshall Fixman (first)

References 0 Referenced 258

None

Dates

Type	When
Created	19 years, 3 months ago (May 31, 2006, 2:59 a.m.)
Deposited	3 years, 4 months ago (April 13, 2022, 10:21 a.m.)
Indexed	4 weeks, 2 days ago (Aug. 6, 2025, 9:05 a.m.)
Issued	51 years, 1 month ago (Aug. 1, 1974)
Published	51 years, 1 month ago (Aug. 1, 1974)
Published Online	51 years, 1 month ago (Aug. 1, 1974)
Published Print	51 years, 1 month ago (Aug. 1, 1974)

Funders 0

None

BibTeX

@article{Fixman_1974, title={Classical Statistical Mechanics of Constraints: A Theorem and Application to Polymers}, volume={71}, ISSN={1091-6490}, url={http://dx.doi.org/10.1073/pnas.71.8.3050}, DOI={10.1073/pnas.71.8.3050}, number={8}, journal={Proceedings of the National Academy of Sciences}, publisher={Proceedings of the National Academy of Sciences}, author={Fixman, Marshall}, year={1974}, month=aug, pages={3050–3053} }

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