DOI: 10.1063/1.1696251. Proper Accounting of Conformations of a Polymer Near a Surface

Proper Accounting of Conformations of a Polymer Near a Surface

10.1063/1.1696251

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

It is well known that in free space the conformations of a freely jointed chain (n-mer) can be generated with proper equal a priori probabilities by means of a particle performing an n-step random walk. However, near a boundary the method of a random walk with reflecting barriers weights too heavily those paths that touch the boundary r times by a factor (w)r where w is greater than 1. The essence of a proper accounting is to place a completely absorbing site just beyond the boundary and to count only those chains that do not terminate on the absorbing site. For example, in the limit of large n where the diffusion equation becomes valid, the proper boundary condition is that of complete absorption at the boundary (concentration equals zero) rather than complete reflection (gradient of concentration equals zero) as has been assumed previously. In considering the problem of a polymer confined to a finite length strip of a one-dimensional lattice one ends up considering nonstochastic submatrices of the matrix of transition probabilities. Characteristic polymer dimensions near a surface are found to be larger than they would be away from the surface. The diffusion equation is then generalized so that it describes a polymer chain with self-excluded volume. Energy effects are also discussed.

Bibliography

DiMarzio, E. A. (1965). Proper Accounting of Conformations of a Polymer Near a Surface. The Journal of Chemical Physics, 42(6), 2101â2106.

Authors 1

Edmund A. DiMarzio (first)

References 18 Referenced 251

10.1039/df9490500007 / Discussions Faraday Soc. (1949)
10.1063/1.1732780 / J. Chem. Phys. (1962)
10.1063/1.1731986 / J. Chem. Phys. (1961)
10.1039/df9490500033 / Discussions Faraday Soc. (1949)
10.1063/1.1698634 / J. Chem. Phys. (1953)
10.1063/1.1698650 / J. Chem. Phys. (1953)
10.1063/1.1700763 / J. Chem. Phys. (1952)
{'key': '2024020823272251800_r7'}
10.1063/1.1733943 / J. Chem. Phys. (1963)
10.1021/j100821a024 / J. Phys. Chem. (1961)
10.1021/j150529a014 / J. Phys. Chem. (1955)
10.1021/j100816a023 / J. Phys. Chem. (1962)
{'key': '2024020823272251800_r12'}
10.1103/RevModPhys.15.1 / Rev. Mod. Phys. (1943)
{'key': '2024020823272251800_r14'}
10.1063/1.1726256 / J. Chem. Phys. (1964)
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Dates

Type	When
Created	20 years, 7 months ago (Jan. 10, 2005, 10:16 a.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 6:27 p.m.)
Indexed	4 months, 4 weeks ago (March 24, 2025, 2:45 a.m.)
Issued	60 years, 5 months ago (March 15, 1965)
Published	60 years, 5 months ago (March 15, 1965)
Published Print	60 years, 5 months ago (March 15, 1965)

Funders 0

None

BibTeX

@article{DiMarzio_1965, title={Proper Accounting of Conformations of a Polymer Near a Surface}, volume={42}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1696251}, DOI={10.1063/1.1696251}, number={6}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={DiMarzio, Edmund A.}, year={1965}, month=mar, pages={2101–2106} }

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