Brownian motion, diffusion, entropy and econophysics

Authors

  • J. D. A. Islas-García Instituto de Física, UNAM.
  • A. R. Villagómez-Manrique Instituto de Física, UNAM.
  • Marcelo Del Castillo-Mussot Instituto de Física, UNAM.
  • P. G. Soriano-Hernandez Instituto de Física, UNAM.

DOI:

https://doi.org/10.31349/RevMexFisE.65.1

Keywords:

Diffusion, entropy, econophysics, Gini index.

Abstract

To model wealth distributions there exist models based on the Boltzmann-Gibbs distribution (BGD), which is obtained by simulating binary economic interactions or exchanges that are similar to particle collisions in physics with conserved
energy (or money in econophysics). Also, BGD can be reproduced by numerical simulations of diffusion for many particles which experience energy fluctuations. This latter case is analogous to non-interacting pollen particles performing Brownian motion. In order to decrease inequality, we also modify the energy-conserved diffusion by taxing the richest agent. In all cases, we calculate the corresponding Gini inequality index and the time evolution of the entropy to show the stability of the statistical distributions.

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Published

2019-01-21

How to Cite

[1]
J. D. A. Islas-García, A. R. Villagómez-Manrique, M. Del Castillo-Mussot, and P. G. Soriano-Hernandez, “Brownian motion, diffusion, entropy and econophysics”, Rev. Mex. Fis. E, vol. 65, no. 1 Jan-Jun, pp. 1–6, Jan. 2019.

Issue

Vol. 65 No. 1 Jan-Jun (2019): Revista Mexicana de Física E

Section

02 Education in Physics

License

Copyright (c) 2019 J. D. A. Islas-García, A. R. Villagómez-Manrique, Marcelo Del Castillo-Mussot, P. G. Soriano-Hernandez

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Authors retain copyright and grant the Revista Mexicana de Física E right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.