If black holes have a finite entropy, they should also have a finite temperature.

In any real system at finite temperature there are processes which cause a scrambling of the phase of the quantum states.

So a black hole can only be in equilibrium with a gas of radiation at a finite temperature.

However, for general strongly interacting plasmas at finite temperatures, other methods based on, say, density functional theory, are needed.

A generalization to finite temperature is also available.

This has been shown to be a useful tool in studying the behavior of quantum field theories at finite temperature.

That and the fact that it melts at a finite temperature.

The trapped components are referred to as the 'ambient plasma' and will later be allowed to have finite temperature.

At finite temperature, a closed expression for noise can be written.

At finite temperatures a thermal average over is implicit.