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Fluctuation of energy in the generalized thermostatistics

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  • Potiguar, F.Q
  • Costa, U.M.S

Abstract

We calculate the fluctuation of a system's energy in Tsallis statistics following the finite heat bath canonical ensemble approach. We obtain this fluctuation as the second derivative of the logarithm of the partition function plus an additional term. We also find an explicit expression for the relative fluctuation as related to the number of degrees of freedom of the bath and the composite system.

Suggested Citation

  • Potiguar, F.Q & Costa, U.M.S, 2003. "Fluctuation of energy in the generalized thermostatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 482-492.
    • Handle: RePEc:eee:phsmap:v:321:y:2003:i:3:p:482-492
    DOI: 10.1016/S0378-4371(02)01918-0
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    References listed on IDEAS

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    1. Beck, Christian, 2002. "Nonextensive methods in turbulence and particle physics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(1), pages 209-217.
    2. Almeida, M.P., 2001. "Generalized entropies from first principles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(3), pages 424-432.
    3. Tsallis, Constantino & Mendes, RenioS. & Plastino, A.R., 1998. "The role of constraints within generalized nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 534-554.
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    Keywords

    Tsallis statistics; Energy fluctuations;

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