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Negative specific heat in astronomy, physics and chemistry

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  • Lynden-Bell, D.

Abstract

Starting from Antonov's discovery that there is no maximum to the entropy of a gravitating system of point particles at fixed energy in a spherical box if the density contrast between centre and edge exceeds 709, we review progress in the understanding of gravitational thermodynamics.

Suggested Citation

  • Lynden-Bell, D., 1999. "Negative specific heat in astronomy, physics and chemistry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 263(1), pages 293-304.
    • Handle: RePEc:eee:phsmap:v:263:y:1999:i:1:p:293-304
    DOI: 10.1016/S0378-4371(98)00518-4
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    References listed on IDEAS

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    1. Daisuke Okamoto, 1995. ""Social Responsiveness" as a Corporate Objective," Japanese Economy, Taylor & Francis Journals, vol. 23(2), pages 3-37.
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    Cited by:

    1. Palma-Chilla, L. & Flores, J.C., 2017. "Negative heat capacity in a left-handed system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 396-401.
    2. Touchette, Hugo & Ellis, Richard S. & Turkington, Bruce, 2004. "An introduction to the thermodynamic and macrostate levels of nonequivalent ensembles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 138-146.
    3. Ellis, Richard S. & Touchette, Hugo & Turkington, Bruce, 2004. "Thermodynamic versus statistical nonequivalence of ensembles for the mean-field Blume–Emery–Griffiths model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 518-538.
    4. Zamora, D.J. & Rocca, M.C. & Plastino, Angel, 2020. "Statistical Mechanics of planar stellar systems: Solving divergences in self-gravitational systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    5. Pradhan, Ritapriya & Bhattacharjee, Jayanta K., 2024. "Perturbation theory in a microcanonical ensemble," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 634(C).
    6. Bouchet, Freddy & Gupta, Shamik & Mukamel, David, 2010. "Thermodynamics and dynamics of systems with long-range interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(20), pages 4389-4405.
    7. Mirtorabi, M. & Miraboutalebi, S. & Masoudi, A.A. & Matin, L. Farhang, 2020. "Some thermodynamics modifications by the least length assumption via the microcanonical scheme," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    8. Casetti, Lapo & Kastner, Michael, 2007. "Partial equivalence of statistical ensembles and kinetic energy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 318-334.

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