Simulating negative temperatures by imposing wealth upper-bounds in exchanges

Authors

  • A.R. Villagómez-Manrique Instituto de Física, Universidad Nacional Autónoma de México, Ciudad Universitaria, 04510, Ciudad de México, México.
  • M. del Castillo-Mussot Instituto de Física, Universidad Nacional Autónoma de México, Ciudad Universitaria, 04510, Ciudad de México, México.

DOI:

https://doi.org/10.31349/RevMexFis.64.51

Keywords:

Temperature, entropy, econophysics.

Abstract

We impose an upper bound to the amount of agents wealth in binary exchanges, but when the upper bound is continuously lowered, then
the entropy S decreases because the system exhibits more order. Furthermore, negative temperatures can mathematically obtained when the slope of the entropy as a function of the total energy (T = $(dS/dE)^{-1}$) is negative.

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Published

2018-01-31

How to Cite

[1]
A. Villagómez-Manrique and M. del Castillo-Mussot, “Simulating negative temperatures by imposing wealth upper-bounds in exchanges”, Rev. Mex. Fís., vol. 64, no. 1 Jan-Feb, pp. 51–54, Jan. 2018.

Issue

Vol. 64 No. 1 Jan-Feb (2018): Revista Mexicana de Física

Section

17 Thermodynamics and Statistical Physics

License

Authors retain copyright and grant the Revista Mexicana de Física 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.