High-temperature series expansions for random Potts models
We discuss recently generated high-temperature series expansions for the free energy and the susceptibility of random-bond q-state Potts models on hypercubic lattices. Using the star-graph expansion technique, quenched disorder averages can be calculated exactly for arbitrary uncorrelated coupling d...
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| Format: | Article |
| Language: | English |
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Institute for Condensed Matter Physics
2005-01-01
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| Series: | Condensed Matter Physics |
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| Online Access: | http://dx.doi.org/10.5488/CMP.8.1.59 |
| _version_ | 1819230076633350144 |
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| author | M.Hellmund W.Janke |
| author_facet | M.Hellmund W.Janke |
| author_sort | M.Hellmund |
| collection | DOAJ |
| description | We discuss recently generated high-temperature series expansions for the free energy and the susceptibility of random-bond q-state Potts models on hypercubic lattices. Using the star-graph expansion technique, quenched disorder averages can be calculated exactly for arbitrary uncorrelated coupling distributions while keeping the disorder strength p as well as the dimension d as symbolic parameters. We present analyses of the new series for the susceptibility of the Ising (q=2) and 4-state Potts model in three dimensions up to the order 19 and 18, respectively, and compare our findings with results from field-theoretical renormalization group studies and Monte Carlo simulations. |
| first_indexed | 2024-12-23T11:23:19Z |
| format | Article |
| id | doaj.art-0716fc12bc714d7ca634d14c426962a1 |
| institution | Directory Open Access Journal |
| issn | 1607-324X |
| language | English |
| last_indexed | 2024-12-23T11:23:19Z |
| publishDate | 2005-01-01 |
| publisher | Institute for Condensed Matter Physics |
| record_format | Article |
| series | Condensed Matter Physics |
| spelling | doaj.art-0716fc12bc714d7ca634d14c426962a12022-12-21T17:49:01ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2005-01-0181597410.5488/CMP.8.1.59High-temperature series expansions for random Potts modelsM.HellmundW.JankeWe discuss recently generated high-temperature series expansions for the free energy and the susceptibility of random-bond q-state Potts models on hypercubic lattices. Using the star-graph expansion technique, quenched disorder averages can be calculated exactly for arbitrary uncorrelated coupling distributions while keeping the disorder strength p as well as the dimension d as symbolic parameters. We present analyses of the new series for the susceptibility of the Ising (q=2) and 4-state Potts model in three dimensions up to the order 19 and 18, respectively, and compare our findings with results from field-theoretical renormalization group studies and Monte Carlo simulations.http://dx.doi.org/10.5488/CMP.8.1.59andom Potts modelsquenched disorderhigh-temperature series expansionseffective critical exponents |
| spellingShingle | M.Hellmund W.Janke High-temperature series expansions for random Potts models Condensed Matter Physics andom Potts models quenched disorder high-temperature series expansions effective critical exponents |
| title | High-temperature series expansions for random Potts models |
| title_full | High-temperature series expansions for random Potts models |
| title_fullStr | High-temperature series expansions for random Potts models |
| title_full_unstemmed | High-temperature series expansions for random Potts models |
| title_short | High-temperature series expansions for random Potts models |
| title_sort | high temperature series expansions for random potts models |
| topic | andom Potts models quenched disorder high-temperature series expansions effective critical exponents |
| url | http://dx.doi.org/10.5488/CMP.8.1.59 |
| work_keys_str_mv | AT mhellmund hightemperatureseriesexpansionsforrandompottsmodels AT wjanke hightemperatureseriesexpansionsforrandompottsmodels |