Comment on "Anomalous Discontinuity at the Percolation Critical Point of Active Gels"

Abstract

In their recent work Sheinman et al. [Phys. Rev. Lett. 114, 098104 (2015)] introduce a variation of percolation which they call no-enclaves percolation (NEP). The main claims are 1) the salient physics captured in NEP is closer to what happens experimentally; 2) The Fisher exponent of NEP, is $\tau =1.82(1)$; 3) Due to the different Fisher exponent, NEP constitutes a universality class distinct from random percolation (RP). While we fully agree with 1) and found NEP to be a very interesting variation of random percolation, we disagree with 2) and 3). We will demonstrate that $\tau$ is exactly $2$, directly derivable from RP, and thus there is no foundation of a new universality class.

Comment on Sheinman et al. [Phys. Rev. Lett. 114, 098104 (2015)], 2 pages, 1 figure, reply to appear here as well

References in corpus (2)

• Power-law distributions in empirical data
• On the scaling of probability density functions with apparent power-law exponents less than unity

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