Principle of Unattainability of absolute zero temperature, the Third Law of Thermodynamics, and projective quantum measurements

Kieu, Tien D.

doi:10.1016/j.physleta.2019.125848

Cited by 5 publications

(1 citation statement)

References 19 publications

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“…For example, in some textbooks [2,7] and articles, [44] Eq. ( 10) is directly used to prove that the Nernst theorem can be derived from the unattainability statement of absolute zero temperature.…”

Section: Equation (mentioning

confidence: 99%

Two innovative equivalent statements of the third law of thermodynamics

Chen 陈,

Zhou 周,

Chen 陈

2024

Chinese Phys. B

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It is found from textbooks and literature that there are three different statements for the third law of thermodynamics, i.e., the Nernst theorem, unattainability statement of absolute zero temperature, and heat capacity statement. It is pointed out that such three statements correspond to three thermodynamic parameters, which are, respectively, the entropy, temperature, and heat capacity, and can be obtained by extrapolating the experimental results of different parameters at ultra-low temperatures to absolute zero. It is expounded that because there's no need for additional assumptions in the derivation of the Nernst equation, the Nernst theorem should be renamed as the Nernst statement. Moreover, it is proved that both the Nernst statement and the heat capacity statement are mutually deducible and equivalent, while the unattainability of absolute zero temperature is only a corollary of the Nernst statement or the heat capacity statement so that it is unsuitably referred to as one statement of the third law of thermodynamics. The conclusion is that the Nernst statement and the heat capacity statement are two equivalent statements of the third law of thermodynamics.

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Section: Equation (mentioning

confidence: 99%

Two innovative equivalent statements of the third law of thermodynamics

Chen 陈,

Zhou 周,

Chen 陈

2024

Chinese Phys. B

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Nonideal measurement heat engines

Panda,

Binder,

Vinjanampathy

2023

Phys. Rev. A

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Chemical heat pumps beyond the Carnot limit

Wang,

Chen,

2023

Mod. Phys. Lett. B

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Based on the working mechanisms of heat pumps and chemical pumps, a model of the chemical heat pump operating between the two thermal material reservoirs with different temperatures and chemical potentials is established. The general expression of the coefficient of performance (i.e. generalized Carnot coefficient of performance) is derived, and a series of meaningful results are obtained. The different characteristics of the chemical heat pump operating under different conditions are revealed. It is found that the coefficient of performance of the chemical heat pump can be larger than that of the Carnot heat pump operating under the same temperature span or the reversible coefficient of performance of the chemical pump operating under the same chemical potential span. The reason is that the chemical heat pump operating between two thermal material reservoirs is driven by the temperature field and the chemical potential field at the same time. Moreover, it is expounded that these results accord with the second law of thermodynamics.

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Principle of Unattainability of absolute zero temperature, the Third Law of Thermodynamics, and projective quantum measurements

Cited by 5 publications

References 19 publications

Two innovative equivalent statements of the third law of thermodynamics

Two innovative equivalent statements of the third law of thermodynamics

Nonideal measurement heat engines

Chemical heat pumps beyond the Carnot limit

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