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From Relativistic Mechanics towards Relativistic Statistical Mechanics
Open AccessArticle

Statistics of Binary Exchange of Energy or Money

Faculty of Science and Technology, Free University of Bozen-Bolzano, 39100 Bolzano, Italy
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Entropy 2017, 19(9), 465; https://doi.org/10.3390/e19090465
Received: 31 July 2017 / Revised: 24 August 2017 / Accepted: 30 August 2017 / Published: 2 September 2017
(This article belongs to the Special Issue Advances in Relativistic Statistical Mechanics)
Why does the Maxwell-Boltzmann energy distribution for an ideal classical gas have an exponentially thin tail at high energies, while the Kaniadakis distribution for a relativistic gas has a power-law fat tail? We argue that a crucial role is played by the kinematics of the binary collisions. In the classical case the probability of an energy exchange far from the average (i.e., close to 0% or 100%) is quite large, while in the extreme relativistic case it is small. We compare these properties with the concept of “saving propensity”, employed in econophysics to define the fraction of their money that individuals put at stake in economic interactions. View Full-Text
Keywords: relativistic kinematics; kappa distribution; wealth exchange models relativistic kinematics; kappa distribution; wealth exchange models
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Bertotti, M.L.; Modanese, G. Statistics of Binary Exchange of Energy or Money. Entropy 2017, 19, 465.

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