Critical behavior of random-bond Potts models
The effect of quenched impurities on systems undergoing first-order phase transitions is studied within the framework of the q-state Potts model. For large q a mapping to the random-field Ising model explains the absence of any latent heat in 2D, and suggests that for d > 2 such systems exhib...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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1997
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| _version_ | 1797102966142926848 |
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| author | Cardy, J Jacobsen, J |
| author_facet | Cardy, J Jacobsen, J |
| author_sort | Cardy, J |
| collection | OXFORD |
| description | The effect of quenched impurities on systems undergoing first-order phase transitions is studied within the framework of the q-state Potts model. For large q a mapping to the random-field Ising model explains the absence of any latent heat in 2D, and suggests that for d > 2 such systems exhibit a tricritical point with an exponent v related to those of the random-field model by v = v RF/(2 - α RF - β RF)- In 2D we analyze the model using finite-size scaling and conformal invariance, and find a continuous transition with a ratio β/v which varies continuously with q, and a weakly varying exponent v ≈ 1. We find strong evidence for the multiscaling of the correlation functions. |
| first_indexed | 2024-03-07T06:13:21Z |
| format | Journal article |
| id | oxford-uuid:f047cabc-bde3-4e75-96b6-4059c2dd8ce4 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:13:21Z |
| publishDate | 1997 |
| record_format | dspace |
| spelling | oxford-uuid:f047cabc-bde3-4e75-96b6-4059c2dd8ce42022-03-27T11:46:32ZCritical behavior of random-bond Potts modelsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f047cabc-bde3-4e75-96b6-4059c2dd8ce4EnglishSymplectic Elements at Oxford1997Cardy, JJacobsen, JThe effect of quenched impurities on systems undergoing first-order phase transitions is studied within the framework of the q-state Potts model. For large q a mapping to the random-field Ising model explains the absence of any latent heat in 2D, and suggests that for d > 2 such systems exhibit a tricritical point with an exponent v related to those of the random-field model by v = v RF/(2 - α RF - β RF)- In 2D we analyze the model using finite-size scaling and conformal invariance, and find a continuous transition with a ratio β/v which varies continuously with q, and a weakly varying exponent v ≈ 1. We find strong evidence for the multiscaling of the correlation functions. |
| spellingShingle | Cardy, J Jacobsen, J Critical behavior of random-bond Potts models |
| title | Critical behavior of random-bond Potts models |
| title_full | Critical behavior of random-bond Potts models |
| title_fullStr | Critical behavior of random-bond Potts models |
| title_full_unstemmed | Critical behavior of random-bond Potts models |
| title_short | Critical behavior of random-bond Potts models |
| title_sort | critical behavior of random bond potts models |
| work_keys_str_mv | AT cardyj criticalbehaviorofrandombondpottsmodels AT jacobsenj criticalbehaviorofrandombondpottsmodels |