q-Gaussian approximants mimic non-extensive statistical-mechanical expectation for many-body probabilistic model with long-range correlations

q-Gaussian approximants mimic non-extens

✍ Thistleton, William ;Marsh, John ;Nelson, Kenric ;Tsallis, Constantino 📂 Article 📅 2009 🏛 Walter de Gruyter GmbH 🌐 English ⚖ 953 KB

We study a strictly scale-invariant probabilistic N-body model with symmetric, uniform, identically distributed random variables. Correlations are induced through a transformation of a multivariate Gaussian distribution with covariance matrix decaying out from the unit diagonal, as ρ/r α for r =1, 2