Correspondence of the Symmetry of Thermodynamic Properties of Matter with the Symmetry of Equations of State

Xue, Ti-Wei; Guo, Zeng-Yuan

doi:10.3390/e25111532

Cited by 1 publication

(2 citation statements)

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“…As early as 1885, von Oettingen [ 20 ] proposed a symmetric framework for thermodynamics. He pointed out that there is a physical and linguistic symmetry between thermal and mechanical variables and functions [ 6 ]. The thermodynamic wheel of connections [ 21 ] can be used to express this symmetric framework, as shown in Figure 2 .…”

Section: Another Statement Of the Second Law Of Thermodynamicsmentioning

confidence: 99%

“…Nonetheless, Xue et al [4][5][6] reviewed the history of Clausius's establishment of thermodynamics in the mid-19 th century to find that, in fact, the second law of thermodynamics claimed by Clausius has nothing to do with irreversibility. Clausius incorporated the two laws of thermodynamics into a symmetrical theoretical framework, where he regarded the theorem of equivalence between heat and work as the first law and the theorem of equivalence of "transformations" (TET) as the second law and considered them to be of the same kind [2,3].…”

Section: Introductionmentioning

confidence: 99%

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A Symmetric Form of the Clausius Statement of the Second Law of Thermodynamics

Xue,

Zhao,

Guo

2024

Entropy

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Bridgman once reflected on thermodynamics that the laws of thermodynamics were formulated in their present form by the great founders of thermodynamics, Kelvin and Clausius, before all the essential physical facts were in, and there has been no adequate reexamination of the fundamentals since. Thermodynamics still has unknown possibilities waiting to be explored. This paper begins with a brief review of Clausius’s work on the second law of thermodynamics and a reassessment of the content of Clausius’s statement. The review tells that what Clausius originally referred to as the second law of thermodynamics was, in fact, the theorem of equivalence of transformations (TET) in a reversible cycle. On this basis, a new symmetric form of Clausius’s TET is proposed. This theorem says that the two transformations, i.e., the transformation of heat to work and the transformation of work from high pressure to low pressure, should be equivalent in a reversible work-to-heat cycle. New thermodynamic cyclic laws are developed on the basis of the cycle with two work reservoirs (two pressures), which enriches the fundamental of the second law of thermodynamics.

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Section: Another Statement Of the Second Law Of Thermodynamicsmentioning

confidence: 99%