This title appears in the Scientific Report :
2007
Please use the identifier:
http://hdl.handle.net/2128/22915 in citations.
Please use the identifier: http://dx.doi.org/10.1209/0295-5075/77/18003 in citations.
A single polymer grafted to a porous membrane
A single polymer grafted to a porous membrane
We study a single flexible chain molecule grafted to a membrane which has pores of size slightly larger than the monomer size. On both sides of the membrane there is the same solvent. When this solvent is good, i.e. when the polymer is described by a self-avoiding walk, it can fairly easily penetrat...
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Personal Name(s): | Hsu, H. P. |
---|---|
Grassberger, P. | |
Contributing Institute: |
John von Neumann - Institut für Computing; NIC |
Published in: | epl, 77 (2007) S. 18003 |
Imprint: |
Les Ulis
EDP Sciences
2007
|
Physical Description: |
18003 |
DOI: |
10.1209/0295-5075/77/18003 |
Document Type: |
Journal Article |
Research Program: |
Scientific Computing |
Series Title: |
EuroPhysics Letters : epl
77 |
Subject (ZB): | |
Link: |
Get full text OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1209/0295-5075/77/18003 in citations.
We study a single flexible chain molecule grafted to a membrane which has pores of size slightly larger than the monomer size. On both sides of the membrane there is the same solvent. When this solvent is good, i.e. when the polymer is described by a self-avoiding walk, it can fairly easily penetrate the membrane, so that the average number of membrane crossings tends, for chain length N ->infinity, to a positive constant. The average numbers of monomers on either side of the membrane diverges in this limit, although their ratio becomes infinite. For a poor solvent, in contrast, the entire polymer is located, for large N, on one side of the membrane. For good and for theta solvents ( ideal polymers) we find scaling laws, whose exponents can in the latter case be easily understood from the behaviour of random walks. |