An information measure that leads to a power-law distribution

Authors

Ezron Cabrera ⋅ PH National Institute of Physics, University of the Philippines Diliman
Eric Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

Information measures are important in physics since they describe the behavior of physical systems. Besides the famous Shannon entopy, there are many information measure that describes complex sytems common in nature. In this paper, the infomation measure used is in the form I = Σ p_i^(1+1/ν) where ν = 1, 2, 3, · · ·. The statistical mechanics derived from this measure leads to a system that describes a power-law distribution. A physical model of hydrogen atoms was also formulated which can be described by the derived distribution.

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Issue

2016: Proceedings of the 34th Samahang Pisika ng Pilipinas Physics Conference

Physics at the front and center: Strengthening core values in physics research
18–21 August 2016, University of the Philippines Visayas, Iloilo City

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Article ID

SPP-2016-PB-21

Section

Poster Session PB

Published

2016-08-18

How to Cite

[1]

E Cabrera and E Galapon, An information measure that leads to a power-law distribution, Proceedings of the Samahang Pisika ng Pilipinas 34, SPP-2016-PB-21 (2016). URL: https://proceedings.spp-online.org/article/view/SPP-2016-PB-21.