- Rapid Communication
- Access by Xinjiang University
Adsorption of polymers on a random surface
Phys. Rev. E 47, R32(R) – Published 1 January, 1993
DOI: https://doi.org/10.1103/PhysRevE.47.R32
Abstract
We investigate the adsorption of a polymer on a planar, random surface. For this we use a generalization of de Gennes’s boundary condition to a random one, and path-integral methods. For weak randomness, the chain size is reduced slightly from its value in the absence of randomness. But as one increases the randomness or chain length, the chain size becomes ∼R, where R is the correlation length of the potential. If the length or the randomness exceeds a certain critical value, the chain is found to collapse in the direction perpendicular to the surface, to a thickness zero, so that it becomes a two-dimensional object.
References (7)
- A. Baumgartner and M. Muthukumar, J. Chem. Phys. 94, 4062 (1991), and references therein.
- K. F. Freed, Renormalization Group Theory of Macromolecules (Wiley, New York, 1987).
- S. F. Edwards and Y. Chen, J. Phys. A 89, 2963 (1988).
- P. G. de Gennes, Rep. Prog. Phys. 32, 187 (1969).
- M. Muthukumar and S. F. Edwards, J. Chem. Phys. 89, 2435 (1988).
- D. C. Khandekar and S. Lawande, Phys. Lett. C 137, 115 (1986). See Eq. (4.4.25).
- R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965), Chap. 11.