dorsal/arxiv
View SchemaUniversal restrictions to the conversion of heat into work derived from the analysis of the Nernst theorem as a uniform limit
| Authors | Jose-Maria Martin-Olalla, Alfredo Rey de Luna |
|---|---|
| Categories | |
| ArXiv ID | physics/0307049 |
| URL | https://arxiv.org/abs/physics/0307049 |
| DOI | 10.1088/0305-4470/36/29/303 |
| Journal | J. Phys. A: Math. Gen 36(29) (2003) pp 7909--7921 |
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. ----- Se analiza la relaci{\'o}n entre el teorema de Nernst y el enunciado de Kelvin-Planck del segundo principio de la termodin{\'a}mica. Se{\~n}alamos el hecho de que el cambio de entrop{\'\i}a tiende uniformemente a cero cuando la temperatura tiende a cero. El an{\'a}lisis de esta hip{\'o}tesis muestra que es equivalente al hecho de que la compensaci{\'o}n de una m{\'a}quina de Carnot escala con el calor absorbido del foco caliente, de forma que el teorema de Nernst puede derivarse del enunciado del segundo principio.
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"abstract": "We revisit the relationship between the Nernst theorem and the Kelvin-Planck\nstatement of the second law. We propose that the exchange of entropy uniformly\nvanishes as the temperature goes to zero. The analysis of this assumption shows\nthat is equivalent to the fact that the compensation of a Carnot engine scales\nwith the absorbed heat so that the Nernst theorem should be embedded in the\nstatement of the second law.\n -----\n Se analiza la relaci{\\\u0027o}n entre el teorema de Nernst y el enunciado de\nKelvin-Planck del segundo principio de la termodin{\\\u0027a}mica. Se{\\~n}alamos el\nhecho de que el cambio de entrop{\\\u0027\\i}a tiende uniformemente a cero cuando la\ntemperatura tiende a cero. El an{\\\u0027a}lisis de esta hip{\\\u0027o}tesis muestra que es\nequivalente al hecho de que la compensaci{\\\u0027o}n de una m{\\\u0027a}quina de Carnot\nescala con el calor absorbido del foco caliente, de forma que el teorema de\nNernst puede derivarse del enunciado del segundo principio.",
"arxiv_id": "physics/0307049",
"authors": [
"Jose-Maria Martin-Olalla",
"Alfredo Rey de Luna"
],
"categories": [
"physics.class-ph",
"physics.gen-ph"
],
"doi": "10.1088/0305-4470/36/29/303",
"journal_ref": "J. Phys. A: Math. Gen 36(29) (2003) pp 7909--7921",
"title": "Universal restrictions to the conversion of heat into work derived from the analysis of the Nernst theorem as a uniform limit",
"url": "https://arxiv.org/abs/physics/0307049"
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