On the q=1/2 non-extensive maximum entropy distribution

Laura Rebollo - Neira, A. Plastino, J. Fernandez-Rubio

    Research output: Contribution to journalArticlepeer-review

    Abstract

    A detailed mathematical analysis on the q=1/2 non-extensive maximum entropy distribution of Tsallis’ is undertaken. The analysis is based upon the splitting of such a distribution into two orthogonal components. One of the components corresponds to the minimum norm solution of the problem posed by the fulfillment of the a priori conditions on the given expectation values. The remaining component takes care of the normalization constraint and is the projection of a constant onto the null space of the “expectation-values transformation”.
    Original languageEnglish
    Pages (from-to)458-465
    Number of pages8
    JournalPhysica A
    Volume258
    Issue number3-4
    DOIs
    Publication statusPublished - 15 Sept 1998

    Bibliographical note

    © 1998 Elsevier Science B.V. All rights reserved.

    Keywords

    • q=1/2
    • non-extensive maximum entropy distribution
    • Tsallis
    • orthogonal components
    • normalization constraint
    • expectation-values transformation

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