In Praise of Clausius Entropy: Reassessing the Foundations of Boltzmannian Statistical Mechanics

Weaver, Christopher Gregory

doi:10.1007/s10701-021-00437-w

Cited by 6 publications

(18 citation statements)

References 139 publications

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“…C.G. Weaver argues in a recent publication [ 22 ] that the reversibility paradox can be resolved with the help of the hypothesis of molecular chaos. However, he does not discuss the validity of the hypothesis itself.…”

Section: The Assumption Of Molecular Disorder Belong To Our Empirical Rather Than a Priori Knowledgementioning

confidence: 99%

The Law of Entropy Increase and the Meissner Effect

Nikulov

2022

Entropy

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The law of entropy increase postulates the existence of irreversible processes in physics: the total entropy of an isolated system can increase, but cannot decrease. The annihilation of an electric current in normal metal with the generation of Joule heat because of a non-zero resistance is a well-known example of an irreversible process. The persistent current, an undamped electric current observed in a superconductor, annihilates after the transition into the normal state. Therefore, this transition was considered as an irreversible thermodynamic process before 1933. However, if this transition is irreversible, then the Meissner effect discovered in 1933 is experimental evidence of a process reverse to the irreversible process. Belief in the law of entropy increase forced physicists to change their understanding of the superconducting transition, which is considered a phase transition after 1933. This change has resulted to the internal inconsistency of the conventional theory of superconductivity, which is created within the framework of reversible thermodynamics, but predicts Joule heating. The persistent current annihilates after the transition into the normal state with the generation of Joule heat and reappears during the return to the superconducting state according to this theory and contrary to the law of entropy increase. The success of the conventional theory of superconductivity forces us to consider the validity of belief in the law of entropy increase.

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Section: The Assumption Of Molecular Disorder Belong To Our Empirical Rather Than a Priori Knowledgementioning

confidence: 99%

The Law of Entropy Increase and the Meissner Effect

Nikulov

2022

Entropy

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“…(Boltzmann 1964, 49-55). See also (Darrigol 2018); (Segrè 1984, 278-279); (Spohn 2001); (Uffink 2007(Uffink , 2017; and (Weaver 2021) for more on these papers. On the important contributions of Maxwell, see (Garber et.…”

Section: A Historically Sensitive Statementmentioning

confidence: 99%

“…This is the Chaos Asymmetry Problem (CAP). 25 Let's now turn to the provision of some motivation for the resolution of the reversibility paradox (which also resolves the NMP and CAP) in (Weaver 2021) to motivate the causal interpretation of the HMC.…”

Section: The Key Asymmetric Assumptionmentioning

confidence: 99%

“…In (Weaver 2021), I argued that the resolution of the CAP and NMP resides in the resolution of yet another problem, viz., the reversibility paradox already introduced. First proposed (to Boltzmann) by Boltzmann's colleague, Johann Josef Loschmidt (1821-1895), William Thomson (or Lord Kelvin;1824-1907, and then later by Edward P. Culverwell (1855Culverwell ( -1931, the reversibility worry capitalizes on the time-reversal invariance of the microdynamics of statistical mechanical systems.…”

Section: The Reversibility Paradoxmentioning

confidence: 99%

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Poincaré, Poincaré recurrence and the H-theorem: A continued reassessment of Boltzmannian statistical mechanics

Weaver

2022

Int. J. Mod. Phys. B

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In [C. G. Weaver Found. Phys. 51, 1 (2021)], I showed that Boltzmann’s [Formula: see text]-theorem does not face a significant threat from the reversibility paradox. I argue that my defense of the [Formula: see text]-theorem against that paradox can be used yet again for the purposes of resolving the recurrence paradox without having to endorse heavy-duty statistical assumptions outside of the hypothesis of molecular chaos. As in [C. G. Weaver Found. Phys. 51, 1 (2021)], lessons from the history and foundations of physics reveal precisely how such resolution is achieved.

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“…C.G. Weaver argues in a recent publication [21] that the reversibility paradox can be resolved with the help of the hypothesis of molecular chaos. But he does not discuss the validity of the hypothesis itself.…”

Section: The Assumption Of Molecular Disorder Belong To Our Empirical...mentioning

confidence: 99%

The law of entropy increase and the Meissner effect

Nikulov

2022

Preprint

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The law of entropy increase postulates the existence of irreversible processes in physics: the total entropy of an isolated system can increase but cannot decrease. The annihilation of an electric current in normal metal with the generation of Joule heat because of a non-zero resistance is well-known example of irreversible process. The persistent current, an undamped electric current observed in a superconductor, annihilates after the transition into the normal state. Therefore this transition was considered as irreversible thermodynamic process before 1933. But if this transition is irreversible then the Meissner effect discovered in 1933 is experimental evidence of a process reverse to the irreversible process. Belief in the law of entropy increase forced physicists to change their understanding of the superconducting transition, which is considered a phase transition after 1933. This change has resulted to the internal inconsistency of the conventional theory of superconductivity, which is created within the framework of reversible thermodynamics but predicts Joule heating. The persistent current annihilates after the transition into the normal state with the generation of Joule heat and reappears during the return to the superconducting state according to this theory and contrary to the law of entropy increase. The success of the conventional theory of superconductivity forces to consider the validity of belief in the law of entropy increase.

show abstract

In Praise of Clausius Entropy: Reassessing the Foundations of Boltzmannian Statistical Mechanics

Cited by 6 publications

References 139 publications

The Law of Entropy Increase and the Meissner Effect

The Law of Entropy Increase and the Meissner Effect

Poincaré, Poincaré recurrence and the H-theorem: A continued reassessment of Boltzmannian statistical mechanics

The law of entropy increase and the Meissner effect

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