Simulating negative temperatures by imposing wealth upper-bounds in exchanges

• A.R. Villagómez-Manrique ^[1] ; M. del Castillo-Mussot ^[1]
  1. [1] Universidad Nacional Autónoma de México

     Universidad Nacional Autónoma de México

     México

     
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 64, Nº. 1, 2018, págs. 51-54
• Idioma: inglés
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• Resumen

  • 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.