| A Revisit to the Local Thermodynamic Equilibrium Assumption of Nonequilibrium Thermodynamics Anil A. Bhalekar1; Bjarne Andresen2; 1DEPARTMENT OF CHEMISTRY, R. T. M. NAGPUR UNIVERSITY, NAGPUR, India; 2UNIVERSITY OF COPENHAGEN, COPENHAGEN, Denmark; PAPER: 175/Energy/Regular (Oral) SCHEDULED: 17:50/Mon. 28 Nov. 2022/Game ABSTRACT: The global level thermodynamic comprehension of the local thermodynamic equilibrium assumption of nonequilibrium thermodynamics is presented. How the Gibbs relation given by equilibrium thermodynamics also describes a passage on an irreversible path is demonstrated at the global thermodynamic level. Specifically it has been demonstrated that the Gibbs relation indeed also takes care of irreversibility for a spatially uniform system with internal source of irreversibility for example the chemical reactions at non-vanishing rates and the irreversibility originating in the gradients of intensities across the boundary of the system. Hence, thermodynamic functions appearing in Gibbs relation are those for equilibrium and nonequilibrium states. The former is the case when it is used to describe a passage through the succession of equilibrium states and the latter is the case while describing the the passage through the succession of nonequilibrium states, i.e. on irreversible trajectories. Thereby, it gets demonstrated that the scope of validity of the local thermodynamic equilibrium assumption of nonequilibrium thermodynamics is much wider than it has been understood so far. References: Bibliography:<br />[1] S. R. De Groot and P. Mazur, Non-Equilibrium Thermodynamics. Amsterdam: North Holland, 1962.<br />[2] R. Clausius, The Mechanical Theory of Heat. London: Macmillan & Co., 1879. Translated by W. R. Browne.<br />[3] H. A. Bumstead and R. G. V. Name, eds., The Scientific Papers of J. Willard Gibbs, vol. I. Thermodynamics. London and Bombay: Longmas, Green and Company, 1906.<br />[5] J. N. Brønsted, “On the concept of heat,” Det. Kgl. Danske Videnskab. Seleskab. Math-Fys. Medd., vol. 19(8) (1941) 1 – 79.<br />[6] I. Prigogine and R. Defay, Chemical Thermodynamics. London: Longmans Green, 1954. Translated by D. H. Everett.<br />[7] B. C. Eu, “Form of uncompensated heat giving rise to a pfaffian differential form in thermodynamic space,” Phys. Rev. E, 51 (1995) 768 – 771.<br />[8] A. A. Bhalekar, “Irreversible thermodynamic framework using compatible equations from thermodynamics and fluid dynamics. A second route to generalized phenomenological irreversible thermodynamic theory (GPITT),” Bull. Cal. Math. Soc., 94(2) (2002) 209 – 224. <br />Note: This abstract is dedicated to Prof. Ferid Murad, Nobel Laureate in Medicine and the Symbol of Unified Science. |
