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- Title
Statistics of Binary Exchange of Energy or Money.
- Authors
Bertotti, Maria Letizia; Modanese, Giovanni
- Abstract
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.
- Subjects
SPECTRAL energy distribution; MAXWELL-Boltzmann function; KINEMATICS; COSMIC rays; ECONOPHYSICS
- Publication
Entropy, 2017, Vol 19, Issue 9, p465
- ISSN
1099-4300
- Publication type
Article
- DOI
10.3390/e19090465