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- Publisher Website: 10.1103/PhysRevB.38.4752
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Article: Domain-growth kinetics for the Q-state Potts model in two and three dimensions
Title | Domain-growth kinetics for the Q-state Potts model in two and three dimensions |
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Authors | |
Issue Date | 1988 |
Citation | Physical Review B, 1988, v. 38, n. 7, p. 4752-4760 How to Cite? |
Abstract | We present new simulations of the domain-growth kinetics for the Q-state Potts model in two and three dimensions. The time dependence of the average grain radius R̄ can be described by R̄Btn, where B is a temperature-dependent constant. In two dimensions, we find n=0.49±0.02 for a range of Q values from 2 to 48. This value of n is obtained from very long simulations on lattices up to size 10002 and is in contrast to our earlier estimates for n which were less than (1/2 (n0.41±0.01) for large Q. In three dimensions on lattices of size 1003, we find that n=0.48±0.04 if early-time data are excluded from the fit to the kinetic data but smaller if the entire data set is used. The grain-size distribution for several values of Q in both two and three dimensions is also determined and compared with our results for grain growth in real polycrystalline materials. © 1988 The American Physical Society. |
Persistent Identifier | http://hdl.handle.net/10722/303800 |
ISSN | |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Grest, Gary S. | - |
dc.contributor.author | Anderson, Michael P. | - |
dc.contributor.author | Srolovitz, David J. | - |
dc.date.accessioned | 2021-09-15T08:26:02Z | - |
dc.date.available | 2021-09-15T08:26:02Z | - |
dc.date.issued | 1988 | - |
dc.identifier.citation | Physical Review B, 1988, v. 38, n. 7, p. 4752-4760 | - |
dc.identifier.issn | 0163-1829 | - |
dc.identifier.uri | http://hdl.handle.net/10722/303800 | - |
dc.description.abstract | We present new simulations of the domain-growth kinetics for the Q-state Potts model in two and three dimensions. The time dependence of the average grain radius R̄ can be described by R̄Btn, where B is a temperature-dependent constant. In two dimensions, we find n=0.49±0.02 for a range of Q values from 2 to 48. This value of n is obtained from very long simulations on lattices up to size 10002 and is in contrast to our earlier estimates for n which were less than (1/2 (n0.41±0.01) for large Q. In three dimensions on lattices of size 1003, we find that n=0.48±0.04 if early-time data are excluded from the fit to the kinetic data but smaller if the entire data set is used. The grain-size distribution for several values of Q in both two and three dimensions is also determined and compared with our results for grain growth in real polycrystalline materials. © 1988 The American Physical Society. | - |
dc.language | eng | - |
dc.relation.ispartof | Physical Review B | - |
dc.title | Domain-growth kinetics for the Q-state Potts model in two and three dimensions | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1103/PhysRevB.38.4752 | - |
dc.identifier.scopus | eid_2-s2.0-0001100812 | - |
dc.identifier.volume | 38 | - |
dc.identifier.issue | 7 | - |
dc.identifier.spage | 4752 | - |
dc.identifier.epage | 4760 | - |
dc.identifier.isi | WOS:A1988Q017100046 | - |