163,497 research outputs found

    Non-Gaussian statistics, maxwellian derivation and stellar polytropes

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    In this letter we discuss the Non-gaussian statistics considering two aspects. In the first, we show that the Maxwell's first derivation of the stationary distribution function for a dilute gas can be extended in the context of Kaniadakis statistics. The second one, by investigating the stellar system, we study the Kaniadakis analytical relation between the entropic parameter κ\kappa and stellar polytrope index nn. We compare also the Kaniadakis relation n=n(κ)n=n(\kappa) with n=n(q)n=n(q) proposed in the Tsallis framework.Comment: 10 pages, 1 figur

    A note on black hole entropy, area spectrum, and evaporation

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    We argue that a process where a fuzzy space splits in two others can be used to explain the origin of the black hole entropy, and why a "generalized second law of thermodynamics" appears to hold in the presence of black holes. We reach the Bekenstein-Hawking formula from the count of the microstates of a black hole modeled by a fuzzy space. In this approach, a discrete area spectrum for the black hole, which becomes increasingly spaced as the black hole approaches the Planck scale, is obtained. We show that, as a consequence of this, the black hole radiation becomes less and less entropic as the black hole evaporates, in a way that some information about its initial state could be recovered.Comment: 4 pages, 2 figure
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