System at infitine temperature
At equally populated levels, temperature, but not the energy, of a system is infinite
I would like to elaborate another nice
conclusion from the formula. If both levels are equally populated, N(hi)
= N(lo) and the logarithm vanishes, so that
DeltaE does not change). Since number of particles
are always finite, only an finite amount of energy is
needed to get infinite temperature in this model. Infinite temperature
cannot be reached anyway by heating, although not because of the
energy needed, but because heat flows from high temperature to low
temperature. To heat a body, a hotter body is required.
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