2015
DOI: 10.1119/1.4914528
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Time and irreversibility in axiomatic thermodynamics

Abstract: Thermodynamics is the paradigm example in physics of a time-asymmetric theory, but the origin of the asymmetry lies deeper than the second law. A primordial arrow can be defined by the way of the equilibration principle ("minus first law"). By appealing to this arrow, the nature of the wellknown ambiguity in Carath eodory's 1909 version of the second law becomes clear. Following Carath eodory's seminal work, formulations of thermodynamics have gained ground that highlight the role of the binary relation of adi… Show more

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Cited by 8 publications
(9 citation statements)
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“…16 In the next section (together with accompanying appendices) we briefly outline how this is done by Lieb and Yngvason (1999) 17 and by accounts, like those of Landsberg (1956Landsberg ( , 1961 and Buchdahl (1966), which take as their starting point Carathéodory's statement of the second law. As we shall see, this reveals what Marsland et al (2015) refer to as an 'ambiguity' in both formulations.…”
Section: Part I Thermodynamic Considerations 2 States and Variablesmentioning
confidence: 73%
See 2 more Smart Citations
“…16 In the next section (together with accompanying appendices) we briefly outline how this is done by Lieb and Yngvason (1999) 17 and by accounts, like those of Landsberg (1956Landsberg ( , 1961 and Buchdahl (1966), which take as their starting point Carathéodory's statement of the second law. As we shall see, this reveals what Marsland et al (2015) refer to as an 'ambiguity' in both formulations.…”
Section: Part I Thermodynamic Considerations 2 States and Variablesmentioning
confidence: 73%
“…16 An alternative to this is an account like that of Callen (1985) and Swendsen (2017b) based on postulates which assert the existence and properties of entropy. The entropy maximization principle in Callen's Postulate II excludes entropy decrease and his Postulate III excludes the possibility of negative temperatures thereby avoiding the ambiguities identified by Marsland et al (2015). Postulate III was subsequently modified by Swendsen to allow for negative temperatures.…”
Section: Adiabatic Processesmentioning
confidence: 99%
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“…As explained in [11,13], Kelvin's statement of the second law sets a definite direction to the 'irreversibility' of the second law, stating that it is impossible to convert heat completely into work (without any other side-effects), but it is possible to do the reverse; axiomatic-type statements are weaker, in that they only imply the irreversibility of some transformation, without specifying which direction is forbidden. In this work the two approaches are unified, and heat and work given scale-independent constructor-theoretic characterisations.…”
Section: The Logic Of the Solutionmentioning
confidence: 99%
“…The viscoelastic characterization of SAPD undergoes a nanoscale strain-stress response under thermal equilibrium condition at room temperature and the SAPD's elastic properties are only considered. 9,13,14 As a result, the elastic property of SAPD induced by ionizing radiation is equivalent to a simple harmonic oscillator under free external driving force conditions. 13,15 The elastic shear modulus of the SAPD can then be measured via a thermal-induced elastic shear wave (TIESW) generated in the SAPD by a two-frequency polarized heterodyne interferometer (TFPHI).…”
Section: Introductionmentioning
confidence: 99%