Power spectrum of rare events in two-dimensional BTW model, violation of 1⁄fnoise hypothesis

مقدم, زهرا and نطاق نجفی, مرتضی and صابر, احد and عبادی, زهرا Power spectrum of rare events in two-dimensional BTW model, violation of 1⁄fnoise hypothesis. In: 10th conference on statistical physics, soft condenced matter and complex systems, 2018. (Submitted)

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Abstract

In this paper we study some time signals namely the activity inside an avalanche (x(t)), the avalanche sizes (s(T)) and the rare events waiting time (τ(n)), and we report some exponential anti-correlation behaviors for s(T) and τ(n) for small times which are finite-size effects. Two characteristic time scales δT_s and δT_τ emerge in our analysis. It isproposed that the power spectrum of s(T) and τ(n) behave like (b_(s,τ) (L)^2+ω^2 )^(-1⁄2), in which b_s and b_τ are some L-dependent parameters and ω is the angular frequency.

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