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Coldest Measurable Temperature

  • Abhay Shastry
Chapter
Part of the Springer Theses book series (Springer Theses)

Abstract

In Chap.  2 we found that the second law of thermodynamics imposes strong restrictions on what can be considered a meaningful thermodynamic measurement. We ask a question motivated by the third law of thermodynamics: What is the coldest possible temperature one can measure in a nonequilibrium quantum system? We have discussed how to measure temperature and voltage in the previous chapter. Most importantly, we realized that temperature and voltage have to be measured simultaneously to ensure uniqueness of the measurement. Here we show that absolute zero cannot be reached for a nonequilibrium quantum system, but arbitrarily low temperatures are, in principle, possible. In quantum coherent conductors, low temperatures result locally when there is destructive interference of “hot” electrons.

Keywords

Third law of thermodynamics Mean local spectrum Mean local energy Mean local occupancy Maximal local coupling Sommerfeld series Riemann zeta function Destructive interference Transmission node Uniqueness Second law of thermodynamics pi-conjugated system Rules of covalence Benzene Pyrene Coronene 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Abhay Shastry
    • 1
  1. 1.Department of ChemistryUniversity of TorontoTorontoCanada

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