## The Temperature of a System as a Function of the Multiplicity and its Rate of Change

**Authors:** Rodolfo A. Frino

In this paper I derive the formula for the temperature of a thermodynamic system as a
function of the multiplicity (number of microstates) and its the rate of change with respect to the absorbed or lost energy. Then the formula is used to obtain the “temperature-microstates- energy” relation for a black hole assuming that the number of microstates is
proportional to the energy of the emitted photon through either tunnelling effect or Hawking radiation.

**Comments:** 7 Pages.

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### Submission history

[v1] 2015-02-24 12:23:57

[v2] 2015-03-26 11:55:01

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