Free energy of a spin glass |
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Authors: | Daniel C Mattis Antonio Caliri |
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Institution: | Physics Department, University of Utah, Salt Lake City, UT 84112, USA |
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Abstract: | We give the theory of a model spin glass of the Sherrington-Kirkpatrick type. Determining that the free energy is given by the potential function of a two-dimensional electrostatic medium, we find exact expressions for this quantity in terms of a multipole expansion of the charge distribution. We also obtain the internal energy, entropy, and specific heat in the form of explicit integrals over the multipole distributions. Pending the outcome of a quantitative investigation into the structure of these functions, here we discuss their properties in a qualitative way. |
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