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Underlying probability distributions of the canonical ensemble

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Abstract

The canonical distributions are chi-square distributions which are derived from parent distributions for nonconjugate fluctuating thermodynamic variables. The probability distributions are generated by discrete random variables which are the number of degrees of freedom and the number of particles. Randomized sampling of the total number of degrees of freedom and total number of particles gives rise, respectively, to fluctuations in the energy and volume.

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Authors and Affiliations

  1. Università degli Studi, 62032 (MC), Camerino, Italy

    B. H. Lavenda

  2. Department of Applied Mathematics, University of Hull, HU6 7RX, Hull, UK

    J. Dunning-Davies

Authors
  1. B. H. Lavenda
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  2. J. Dunning-Davies
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Lavenda, B.H., Dunning-Davies, J. Underlying probability distributions of the canonical ensemble. Int J Theor Phys 29, 85–99 (1990). https://doi.org/10.1007/BF00670220

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  • DOI: https://doi.org/10.1007/BF00670220

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