Random sequential adsorption with two components: asymptotic analysis and finite size effects
We consider the model of random sequential adsorption (RSA) in which two lengths of rod-like polymer compete for binding on a long straight rigid one-dimensional substrate. We take all lengths to be discrete, assume that binding is irreversible, and short or long polymers are chosen at random with s...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Published: |
IOP
2015
|
| Subjects: | |
| Online Access: | https://eprints.nottingham.ac.uk/28922/ |
| _version_ | 1848793674453876736 |
|---|---|
| author | Reeve, Louise Wattis, Jonathan A.D. |
| author_facet | Reeve, Louise Wattis, Jonathan A.D. |
| author_sort | Reeve, Louise |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We consider the model of random sequential adsorption (RSA) in which two lengths of rod-like polymer compete for binding on a long straight rigid one-dimensional substrate. We take all lengths to be discrete, assume that binding is irreversible, and short or long polymers are chosen at random with some probability. We consider both the cases where the polymers have similar lengths and when the lengths are vastly different. We use a combination of numerical simulations, computation and asymptotic analysis to study the adsorption process, specifically, analysing how competition between the two polymer lengths affects the final coverage, and how the coverage depends on the relative sizes of the two species and their relative binding rates. We find that the final coverage is always higher than in the one-species RSA, and that the highest coverage is achieved when the rate of binding of the longer polymer is higher. We find that for many binding rates and relative lengths of binding species, the coverage due to the shorter species decreases with increasing substrate length, although there is a small region of parameter space in which all coverages increase with substrate length. |
| first_indexed | 2025-11-14T19:04:03Z |
| format | Article |
| id | nottingham-28922 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:04:03Z |
| publishDate | 2015 |
| publisher | IOP |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-289222020-05-04T17:08:17Z https://eprints.nottingham.ac.uk/28922/ Random sequential adsorption with two components: asymptotic analysis and finite size effects Reeve, Louise Wattis, Jonathan A.D. We consider the model of random sequential adsorption (RSA) in which two lengths of rod-like polymer compete for binding on a long straight rigid one-dimensional substrate. We take all lengths to be discrete, assume that binding is irreversible, and short or long polymers are chosen at random with some probability. We consider both the cases where the polymers have similar lengths and when the lengths are vastly different. We use a combination of numerical simulations, computation and asymptotic analysis to study the adsorption process, specifically, analysing how competition between the two polymer lengths affects the final coverage, and how the coverage depends on the relative sizes of the two species and their relative binding rates. We find that the final coverage is always higher than in the one-species RSA, and that the highest coverage is achieved when the rate of binding of the longer polymer is higher. We find that for many binding rates and relative lengths of binding species, the coverage due to the shorter species decreases with increasing substrate length, although there is a small region of parameter space in which all coverages increase with substrate length. IOP 2015-05-21 Article PeerReviewed Reeve, Louise and Wattis, Jonathan A.D. (2015) Random sequential adsorption with two components: asymptotic analysis and finite size effects. Journal of Physics A: Mathematical and Theoretical, 48 (23). 235001/1-235001/17. ISSN 1751-8113 Random sequential adsorption asymptotic analysis recurrence relations http://iopscience.iop.org/1751-8121/48/23/235001 doi:10.1088/1751-8113/48/23/235001 doi:10.1088/1751-8113/48/23/235001 |
| spellingShingle | Random sequential adsorption asymptotic analysis recurrence relations Reeve, Louise Wattis, Jonathan A.D. Random sequential adsorption with two components: asymptotic analysis and finite size effects |
| title | Random sequential adsorption with two components:
asymptotic analysis and finite size effects |
| title_full | Random sequential adsorption with two components:
asymptotic analysis and finite size effects |
| title_fullStr | Random sequential adsorption with two components:
asymptotic analysis and finite size effects |
| title_full_unstemmed | Random sequential adsorption with two components:
asymptotic analysis and finite size effects |
| title_short | Random sequential adsorption with two components:
asymptotic analysis and finite size effects |
| title_sort | random sequential adsorption with two components:
asymptotic analysis and finite size effects |
| topic | Random sequential adsorption asymptotic analysis recurrence relations |
| url | https://eprints.nottingham.ac.uk/28922/ https://eprints.nottingham.ac.uk/28922/ https://eprints.nottingham.ac.uk/28922/ |