TI-084Matter1912

Absolute zero cannot be reached

The third law of thermodynamics implies that no finite sequence of steps can cool a system to absolute zero.

Established2 min read

Nernst’s heat theorem, now the third law, says the entropy of a perfect crystal goes to a minimum as temperature goes to zero, and that you cannot reach that zero by a finite number of operations. Each cooling stage — a demagnetisation, a dilution — takes out a fraction of what is left. The fraction of a vanishing remainder is a Zeno arrow.

Laboratories reach nanokelvin in dilute gases and microkelvin in solids. Those numbers are astonishing and they are not zero. Negative absolute temperatures exist in special spin systems and are hotter than infinity, not colder than zero. The floor is a limit, not a place.

Caveats

  • ‘Unattainable’ is about finite processes. It is not a claim that 0 K is a fuzzy concept. It is a defined limit.

Sources

  1. 1Nernst W.. The New Heat Theorem. Dover (English edition of the 1917 lectures), 1926.

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