Universal restrictions to the conversion of heat into work derived from the analysis of the Nernst theorem as a uniform limit

2003/07/09 by Jose-Maria Martin-Olalla, Jos Mar a Mart n-Olalla, Alfredo Rey de Luna +1 · 1 citation
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #Phase Equilibria and Thermodynamics #physics.class-ph #physics.gen-ph

paper · pdf · doi:10.1088/0305-4470/36/29/303

published as J. Phys. A: Math. Gen 36(29) (2003) pp 7909--7921 · 8pp, 4 ff. Original in english. Also available translation into spanish. Twocolumn format. RevTeX

arxiv created 2003/07/09 · openalex publication_date 2003/07/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We revisit the relationship between the Nernst theorem and the Kelvin–Planck statement of the second law. We propose that the exchange of entropy uniformly vanishes as the temperature goes to zero. The analysis of this assumption shows that is equivalent to the fact that the compensation of a Carnot engine scales with the absorbed heat so that the Nernst theorem should be embedded in the statement of the second law.

Cited by

• Thermal stability originates the vanishing of the specific heats at absolute zero

Related

• Proof of the Nernst heat theorem
• On the unattainability of absolute zero temperature and the Nernst heat theorem
• Formulation of Entropy through Work by Carnot Machine and Direct Derivation of Law of Entropy Non-Decrease from Kelvin-Planck Principle
• Rederivation of Nernst's equation without any additional assumptions
• A new succinct proof on the equivalence of the Nernst equation and the vanishing heat capacity at absolute zero temperature