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Boltzmann power laws

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  • Saiz, A.

Abstract

In this paper we propose a model based on the Boltzmann distribution as a mechanism for generating power laws, Boltzmann Power Laws (BPL). Some of these power laws are studied and compared to popular power laws such as ‘1/f’ noise and self-organized criticality (SOC). We will show how, in some cases, these BPLs reproduce behaviors similar to the finite size scaling (FSS) scenario, which is typical of SOC.

Suggested Citation

  • Saiz, A., 2010. "Boltzmann power laws," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(2), pages 225-236.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:2:p:225-236
    DOI: 10.1016/j.physa.2009.09.032
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    References listed on IDEAS

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    1. Moshe Levy & Sorin Solomon, 1996. "Power Laws Are Logarithmic Boltzmann Laws," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 595-601.
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