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Deformed exponentials and logarithms in generalized thermostatistics

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  • Naudts, Jan

Abstract

Criteria are given that κ-deformed logarithmic and exponential functions should satisfy. With a pair of such functions one can associate another function, called the deduced logarithmic function. It is shown that generalized thermostatistics can be formulated in terms of κ-deformed exponential functions together with the associated deduced logarithmic functions.

Suggested Citation

  • Naudts, Jan, 2002. "Deformed exponentials and logarithms in generalized thermostatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 323-334.
    • Handle: RePEc:eee:phsmap:v:316:y:2002:i:1:p:323-334
    DOI: 10.1016/S0378-4371(02)01018-X
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    References listed on IDEAS

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    1. Kaniadakis, G. & Scarfone, A.M., 2002. "A new one-parameter deformation of the exponential function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(1), pages 69-75.
    2. 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.
    3. Kaniadakis, G., 2001. "Non-linear kinetics underlying generalized statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 296(3), pages 405-425.
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    Cited by:

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    8. Naudts, Jan, 2004. "Generalized thermostatistics based on deformed exponential and logarithmic functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 32-40.
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