PIRSA:14030093

Ambiguities in order-theoretic formulations of thermodynamics

APA

Brown, H. (2014). Ambiguities in order-theoretic formulations of thermodynamics. Perimeter Institute. https://pirsa.org/14030093

MLA

Brown, Harvey. Ambiguities in order-theoretic formulations of thermodynamics. Perimeter Institute, Mar. 21, 2014, https://pirsa.org/14030093

BibTex

          @misc{ pirsa_14030093,
            doi = {},
            url = {https://pirsa.org/14030093},
            author = {Brown, Harvey},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Ambiguities in order-theoretic formulations of thermodynamics},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {mar},
            note = {PIRSA:14030093 see, \url{https://pirsa.org}}
          }
          

Abstract

Since the 1909 work of Carathéodory, an axiomatic approach to thermodynamics has gained ground which highlights the role of the the binary relation of adiabatic accessibility between equilibrium states. A feature of Carathédory's system is that the version therein of the second law contains an ambiguity about the nature of irreversible adiabatic processes, making it weaker than the traditional Kelvin-Planck statement of the law. This talk attempts first to clarify the nature of this ambiguity, by defining the arrow of time in thermodynamics by way of the Equilibrium Principle (``Minus First Law''). It then examines the extent to which the 1989 axiomatisation of Lieb and Yngvason shares the same ambiguity, despite proposing a very different approach to the second law.