Abstract
The p-state mean-field Potts glass with ±J-couplings is studied by Monte Carlo (MC) simulations, both for p = 3 and p = 6 states. At the exactly known glass transition temperature Tc, the moments q(k) of the spin glass order parameter satisfy for p = 3 a simple scaling behavior, q(k) \({q^{\left( k \right)}}\alpha {N^{ - k/3}}{\tilde f_k}\left\{ {{N^{1/3}}\left( {1 - T/{T_c}} \right)} \right\},k = 1,2,3,...\). The specific-heat maxima exhibit a similar behavior, c max V α const — N -l/3, while the approach of the maxima positions T max to T c as N → ∞ is non-monotonic. For p = 6 the results are compatible with the expected result of a quite peculiar first-order phase transition. The specific-heat maxima c max V behave qualitatively in the same way as for p = 3, consistent with the prediction that there is no latent heat.
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Dillmann, O., Janke, W., Binder, K. (1999). MC Study of the p-state Mean-Field Potts Glass. In: Landau, D.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XI. Springer Proceedings in Physics, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60095-1_7
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DOI: https://doi.org/10.1007/978-3-642-60095-1_7
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