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It has been pointed out by Bekenstein and Mayo that the behavior of the Blackhole's entropy or information flow is similar to that through one-dimensionalchannel. Here I analyse the same issue with the use of gravitational anomalies.The rate of the entropy change ($\dot{S}$) and the power ($P$) of the Hawkingemission are calculated from the relevant components of the anomalousstress-tensor under the Unruh vacuum condition. I show that the dependence of$\dot{S}$ on power is $\dot{S}\propto P^{1/2}$ which is identical to that forthe information flow in one dimensional system. This is established by usingthe ($1+1$) dimensional gravitational anomalies first. Then the fact is furtherbolstered by considering the ($1+3$) dimensional gravitational anomalies. It isfound that in the former case, the proportionality constant is exactlyidentical to one dimensional situation, known as Pendry's formula, while inlater situation its value decreases.

Gravitational anomalies and one dimensional behaviour of black holes