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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

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

There would be a perfect correspondence between the laws of classical thermodynamics and black hole thermodynamics, except for the apparent failure of black hole thermodynamics to correspond to the Third Law. The classical Third Law of…

General Physics · Physics 2007-05-23 A. J. Meyer

We discuss in the framework of black hole thermodynamics some aspects relative to the third law in the case of black holes of the Kerr-Newman family. In the light of the standard proof of the equivalence between the unattainability of the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 F. Belgiorno , M. Martellini

We consider the generalized laws of thermodynamics in massive gravity. Making use of explicit black hole solutions, we devise black hole merger processes in which i) total entropy of the system decreases ii) the zero-temperature extremal…

General Relativity and Quantum Cosmology · Physics 2011-04-19 Fabio Capela , Peter G. Tinyakov

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

There are some examples in the literature, in which despite the fact that the underlying theory or model does not impose a lower bound on the size of black holes, the final temperature under Hawking evaporation is nevertheless finite and…

General Relativity and Quantum Cosmology · Physics 2019-06-25 Yuan Yao , Meng-Shi Hou , Yen Chin Ong

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 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

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

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

The third law of black hole dynamics states that the surface gravity (temperature) of black hole cannot be reduced to zero in finite sequence of physical interactions. We argue that the same is true when surface gravity is replaced by…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Naresh Dadhich , K. Narayan

Recent results of quantum field theory on a curved spacetime suggest that extremal black holes are not thermal objects and that the notion of zero temperature is ill-defined for them. If this is correct, one may have to go to a full…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Stefano Liberati , Tony Rothman , Sebastiano Sonego

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

The unattainability principle (UP) is an operational formulation of the third law of thermodynamics stating the impossibility to bring a system to its ground state in finite time. In this work, several recent derivations of the UP are…

Quantum Physics · Physics 2019-11-18 Nahuel Freitas , Rodrigo Gallego , Lluís Masanes , Juan Pablo Paz

This work gives a brief summary of major formulations of the third law of thermodynamics and their implications, including the impossibility of perpetual motion of the third kind. The last sections of this work review more advanced…

Classical Physics · Physics 2012-08-22 A. Y. Klimenko

The third law of thermodynamics in the form of the unattainability principle states that exact ground-state cooling requires infinite resources. Here we investigate the amount of non-equilibrium resources needed for approximate cooling. We…

Quantum Physics · Physics 2017-11-28 Henrik Wilming , Rodrigo Gallego

We have made a simple and natural modification of a recent quantum refrigerator model presented by Cleuren et al. in Phys. Rev, Lett.108, 120603 (2012). The original model consist of two metal leads acting as heat baths, and a set of…

Statistical Mechanics · Physics 2016-03-09 Vegard B. Sørdal , Joakim Bergli , Y. M. Galperin

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

The second law of thermodynamics constitutes a fundamental principle of physics, precluding the existence of perpetual motion machines and providing a natural definition of the arrow of time. Its scope extends across virtually all areas of…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Alejandro Corichi , Omar Gallegos
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