Scaling laws at the critical point

Abstract

There are two independent critical exponents that describe the behavior of systems near their critical point. However, at the critical point only the exponent $\eta$, which describes the decay of the correlation function, is usually discussed. We emphasize that there is a second independent exponent ${\eta }^{\prime }$ that describes the decay of the fourth-order correlation function. The exponent ${\eta }^{\prime }$ 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 ${\eta }^{\prime }$.

Revised version, 1 added figure, 3 pages, 1 table

References in corpus (1)

• Relation between positional specific heat and static relaxation length: Application to supercooled liquids

Cited by in corpus (1)

• On the static length of relaxation and the origin of dynamic heterogeneity in fragile glass-forming liquids