Simulating negative temperatures by imposing wealth upper-bounds in exchanges | Zendy

A.R. Villagómez-Manrique | Zendy; Marcelo del CastilloMussot | Zendy

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Simulating negative temperatures by imposing wealth upper-bounds in exchanges

Author(s) -

A.R. Villagómez-Manrique,

Marcelo del CastilloMussot

Publication year - 2018

Publication title -

revista mexicana de física

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.181

H-Index - 25

eISSN - 2683-2224

pISSN - 0035-001X

DOI - 10.31349/revmexfis.64.51

Subject(s) - upper and lower bounds , entropy (arrow of time) , function (biology) , binary number , statistical physics , mathematics , physics , thermodynamics , mathematical analysis , arithmetic , evolutionary biology , biology

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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