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Tsallis’ entropy maximization procedure revisited

Author

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  • Martı́nez, S
  • Nicolás, F
  • Pennini, F
  • Plastino, A

Abstract

The proper way of averaging is an important question with regards to Tsallis’ Thermostatistics. Three different procedures have been thus far employed in the pertinent literature. The third one, i.e., the Tsallis–Mendes–Plastino (TMP) (Physica A 261 (1998) 534) normalization procedure, exhibits clear advantages with respect to earlier ones. In this work, we advance a distinct (from the TMP-one) way of handling the Lagrange multipliers involved in the extremization process that leads to Tsallis’ statistical operator. It is seen that the new approach considerably simplifies the pertinent analysis without losing the beautiful properties of the Tsallis–Mendes–Plastino formalism.

Suggested Citation

  • Martı́nez, S & Nicolás, F & Pennini, F & Plastino, A, 2000. "Tsallis’ entropy maximization procedure revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(3), pages 489-502.
    • Handle: RePEc:eee:phsmap:v:286:y:2000:i:3:p:489-502
    DOI: 10.1016/S0378-4371(00)00359-9
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    Cited by:

    1. Nelson, Kenric P., 2015. "A definition of the coupled-product for multivariate coupled-exponentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 187-192.
    2. Deeb, Omar El, 2023. "Entropic spatial auto-correlation of voter uncertainty and voter transitions in parliamentary elections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
    3. Lucia, Umberto, 2010. "Maximum entropy generation and κ-exponential model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4558-4563.
    4. López-Rosa, S. & Angulo, J.C. & Dehesa, J.S. & Yáñez, R.J., 2008. "Existence conditions and spreading properties of extreme entropy D-dimensional distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(10), pages 2243-2255.
    5. Dukkipati, Ambedkar & Murty, M. Narasimha & Bhatnagar, Shalabh, 2006. "Nonextensive triangle equality and other properties of Tsallis relative-entropy minimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 124-138.
    6. Lucia, Umberto, 2009. "Irreversibility, entropy and incomplete information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4025-4033.
    7. Bafghi, Seyed Mohammad Amin Tabatabaei & Kamalvand, Mohammad & Morsali, Ali & Bozorgmehr, Mohammad Reza, 2018. "Radial distribution function within the framework of the Tsallis statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 857-867.

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    Keywords

    Tsallis thermostatistics; Normalization;

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