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Related papers: On the equivalence of the Nernst theorem and its c…

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The Nernst heat theorem is probed from purely thermodynamic arguments connected with the second law of thermodynamics, and alien to the vanishing of the specific heats, or to the unattainability of the zeroth isotherm. If the proof is…

Classical Physics · Physics 2025-06-16 José-María Martín-Olalla

By starting from the Euler chain rule of three thermodynamic quantities, it is proved that both the Nernst equation and the vanishing heat capacity at absolute zero temperature are mutually deducible and equivalent. Simultaneously, it is…

Statistical Mechanics · Physics 2024-12-16 Shanhe Su , Jincan Chen

The third law of thermodynamics has been verified experimentally, but how to perfectly express such a law in theory has become a cross-century problematic issue. It is found from the recent researches that by introducing an innovative…

Statistical Mechanics · Physics 2024-06-06 Xiaohang Chen , Shanhe Su , Yinghui Zhou , Jincan Chen

It is sometimes argued that the unattainability of zero temperature is a consequence of the second law of thermodynamics. Historically, the independence of the unattainability of zero temperature from the second law was proven more than 80…

Statistical Mechanics · Physics 2018-04-06 Koun Shirai

It is found that without any additional assumptions, Nernst's equation can be re-deduced from the experimental data obtained from the thermodynamic systems at ultra-low temperatures, and consequently, the physical content included by…

Statistical Mechanics · Physics 2023-05-30 Shanh Su , Jincan Chen

A corollary of the third law of thermodynamics is that the heat capacities of a system approach zero as the temperature approaches absolute zero Kevin. Many have attempted to take the corollary as the third law, but two counterexamples has…

Statistical Mechanics · Physics 2024-07-22 S. F. Xiao , Q. H. Liu

This paper elaborates on the implications of the relationship between the Second and Third Laws and provides a comprehensive formal and historical justification for the logical redundancy of the Nernst heat theorem. By revisiting the…

History and Philosophy of Physics · Physics 2026-02-04 José-María Martín-Olalla

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…

Classical Physics · Physics 2007-05-23 Jose-Maria Martin-Olalla , Alfredo Rey de Luna

Thermodynamics, the branch of physics concerned with the description of macroscopic bodies, heat exchange and the conversion of different forms of energy is based on four laws: the zeroth law, which states that bodies in thermal contact…

Statistical Mechanics · Physics 2020-01-21 Dragos-Victor Anghel

The third law of thermodynamics, also known as the Nernst unattainability principle, puts a fundamental bound on how close a system, whether classical or quantum, can be cooled to a temperature near to absolute zero. On the other hand, a…

Quantum Physics · Physics 2022-10-04 Lorenzo Buffoni , Stefano Gherardini , Emmanuel Zambrini Cruzeiro , Yasser Omar

The Nernst formulation of the third law of ordinary thermodynamics (often referred to as the ``Nernst theorem'') asserts that the entropy, $S$, of a system must go to zero (or a ``universal constant'') as its temperature, $T$, goes to zero.…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Robert M. Wald

The third law of thermodynamics has a controversial past and a number of formulations due to Planck, Einstein, and Nernst. It's most accepted version, the unattainability principle, states that "any thermodynamic process cannot reach the…

Quantum Physics · Physics 2019-11-13 Lluis Masanes , Jonathan Oppenheim

The Principle of Unattainability rules out the attainment of absolute zero temperature by any finite physical means, no matter how idealised they could be. Nevertheless, we clarify that the Third Law of Thermodynamics, as defined by…

Quantum Physics · Physics 2019-08-26 Tien D. Kieu

We present the mathematical ingredients for an extension of the Third Law of Thermodynamics (Nernst heat postulate) to nonequilibrium processes. The central quantity is the excess heat which measures the quasistatic addition to the steady…

Statistical Mechanics · Physics 2023-10-05 Faezeh Khodabandehlou , Christian Maes , Irene Maes , Karel Netočný

The extended Third Law of thermodynamics for nonequilibrium jump processes is studied in previous collaborative papers (Kh et al.,2023) [1,2], where the nonequilibrium heat capacity and the excess heat with the corresponding quasipotential…

Statistical Mechanics · Physics 2024-05-01 Faezeh Khodabandehlou

It has long been taken for granted that there is only one type of thermodynamic system near absolute zero temperature: the ordinary one compatible with all statements of the third law, with a fundamental yet tacit assumption that all heat…

Statistical Mechanics · Physics 2025-08-12 Q. H. Liu , S. F. Xiao , D. Guo , K. J. Yin

The laws of thermodynamics provide a clear concept of the temperature for an equilibrium system in the continuum limit. Meanwhile, the equipartition theorem allows one to make a connection between the ensemble average of the kinetic energy…

Statistical Mechanics · Physics 2009-11-13 Alex V. Popov , Rigoberto Hernandez

The zeroth principle of thermodynamics in the form "temperature is uniform at equilibrium" is notoriously violated in relativistic gravity. Temperature uniformity is often derived from the maximization of the total number of microstates of…

General Relativity and Quantum Cosmology · Physics 2014-03-12 Hal M. Haggard , Carlo Rovelli

Thermodynamics connects our knowledge of the world to our capability to manipulate and thus to control it. This crucial role of control is exemplified by the third law of thermodynamics, Nernst's unattainability principle, which states that…

According to the Nernst theorem or, equivalently, the third law of thermodynamics, the absolute zero temperature is not attainable. Starting with an initial positive temperature, we show that there exist solutions to a Kelvin-Voigt model…

Analysis of PDEs · Mathematics 2024-07-03 Rufat Badal , Manuel Friedrich , Martin Kružík , Lennart Machill
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