Critical equation of state of randomly dilute Ising systems
P. Calabrese, M. De Prato, A. Pelissetto, E. Vicari
Abstract
We determine the critical equation of state of three-dimensional randomly dilute Ising systems, i.e. of the random-exchange Ising universality class. We first consider the small-magnetization expansion of the Helmholtz free energy in the high-temperature phase. Then, we apply a systematic approximation scheme of the equation of state in the whole critical regime, that is based on polynomial parametric representations matching the small-magnetization of the Helmholtz free energy and satisfying a global stationarity condition. These results allow us to estimate several universal amplitude ratios, such as the ratio A+/A- of the specific-heat amplitudes. Our best estimate A+/A-=1.6(3) is in good agreement with experimental results on dilute uniaxial antiferromagnets.
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