This title appears in the Scientific Report :
2005
Please use the identifier:
http://dx.doi.org/10.1016/j.cpc.2005.03.027 in citations.
Statistics of lattice animals
Statistics of lattice animals
The scaling behavior of randomly branched polymers in a good solvent is studied in two to nine dimensions, modeled by lattice animals on simple hypercubic lattices. For the simulations, we use a biased sequential sampling algorithm with resampling, similar to the pruned-enriched Rosenbluth method (P...
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Personal Name(s): | Hsu, H. P. |
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Nadler, W. / Grassberger, P. | |
Contributing Institute: |
John von Neumann - Institut für Computing; NIC |
Published in: | Computer physics communications, 169 (2005) |
Imprint: |
Amsterdam
North Holland Publ. Co.
2005
|
DOI: |
10.1016/j.cpc.2005.03.027 |
Document Type: |
Journal Article |
Research Program: |
Betrieb und Weiterentwicklung des Höchstleistungsrechners |
Series Title: |
Computer Physics Communications
169 |
Subject (ZB): | |
Publikationsportal JuSER |
The scaling behavior of randomly branched polymers in a good solvent is studied in two to nine dimensions, modeled by lattice animals on simple hypercubic lattices. For the simulations, we use a biased sequential sampling algorithm with resampling, similar to the pruned-enriched Rosenbluth method (PERM) used extensively for linear polymers. We obtain high statistics of animals with up to several thousand sites in all dimension 2 <= d <= 9. The partition sum (number of different animals) and gyration radii are estimated. In all dimensions we verify the Parisi-Sourlas prediction, and we verify all exactly known critical exponents in dimensions 2, 3, 4, and >= 8. In addition, we present the hitherto most precise estimates for growth constants in d >= 3. For clusters with one site attached to an attractive surface, we verify the superuniversality of the cross-over exponent at the adsorption transition predicted by Janssen and Lyssy. (c) 2005 Elsevier B.V. All rights reserved. |