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 |
| Published: |
1997
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| Summary: | 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. |
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