Scaling laws at the critical point

There are two independent critical exponents that describe the behavior of systems near their critical point. However, at the critical point only the exponent $η$, which describes the decay of the correlation function, is usually discussed. We emphasize that there is a second independent exponent $η'$ that describes the decay of the fourth-order correlation function. The exponent $η'$ is related to the exponents determining the behavior of thermodynamic functions near criticality via a fluctuation-response equation for the specific heat. We also discuss a scaling law for $η'$.

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