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原文連結
論文資訊
- 類型：已發表論文
- 日期：2011
摘要
We show how the dependence of phase space volume Omega(N) on system size N uniquely determines the extensive 熵 of a classical system. We give a concise criterion when this 熵 is not of Boltzmann-Gibbs type but has to assume a generalized (non-additive) form. We show that generalized entropies can only exist when the dynamically (統計ly) relevant fraction of degrees of freedom in the system vanishes in the 熱力學 limit. These are systems where the bulk of the degrees of freedom is frozen and 統計ly inactive. Systems governed by generalized entropies are therefore systems whose phase space volume effectively collapses to a lower-dimensional "surface". We illustrate these results in three concrete examples: accelerating random walks, a microcanonical spin system on 網絡s and constrained binomial proces
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