Scaling laws at the critical point

Details Scaling laws at the critical point Scaling laws at the critical point

2005-07-27

arxiv.org/abs/cond-mat/0507633v2

S. Davatolhagh, Am. J. Phys. 74, 441 (2006)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

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 $\eta'$ that describes the decay of the fourth-order correlation function. The exponent $\eta'$ 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 $\eta'$.

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