摘要 Deep connections are known to exist between 無標度 網

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論文資訊

• 類型：已發表論文
• 日期：2016-06-20

摘要

Deep connections are known to exist between 無標度 網絡s and non-Gibbsian statistics. For example, typical degree distributions at the 熱力學al limit are of the form P(k) proportional to e(q)(-k/k), where the q-exponential form e(q)(z) = 1+ (1-q) z optimizes the nonadditive 熵 S-q (which, for q -> 1, recovers the Boltzmann-Gibbs 熵). We introduce and study here d-dimensional geographically-located 網絡s which grow with preferential attachment involving Euclidean distances through (-alpha)(rij) (alpha(A) >= 0). Revealing the connection with q-statistics, we numerically verify (for d = 1, 2, 3 and 4) that the q-exponential degree distributions exhibit, for both q and k, universal dependences on the ratio alpha(A)/d. Moreover, the q = 1 limit is rapidly achieved by increasing alpha(A)/d to infin

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