Abstract
The nineteenth century was the golden age for classical thermodynamics: as this theory concerns essentially systems at equilibrium, we shall refer to it as equilibrium thermodynamics. It was developed by a pleiad of exceptionally brilliant scientists as Carnot, Mayer, Joule, Helmholtz, Clausius, Lord Kelvin, Maxwell, Boltzmann, Gibbs, Planck, Duhem, etc.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Beris AN, Mavrantzas (1994) Te compatibility between various macroscopic formulations for the concentration and flow of dilute polymer solutions. J Rheol 38:1235–1250
Casimir HBG (1945) On Onsager’s principle of microscopic irreversibility. Rev Mod Phys 17: 343–350
Coleman BD (1964) Thermodynamics of materials with memory. Arch Rat Mech Anal 17:1–46
Coleman BD and Owen DR (1974) A mathematical foundation for thermodynamics, Arch Rat Mech Anal 54:1
Curzon FL, Ahlborn B (1975) Efficiency of a Carnot engine at maximum power output Am J Phys 43:22–24
Day W (1977) An objection against using entropy as a primitive concept in continuum thermodynamics. Acta Mech 27:251–255
De Groot SR, Mazur P (1962) Non-equilibrium Thermodynamics. North-Holland, Amsterdam
Denbigh RG (1950) The Thermodynamics of the Steady State. Wiley, New York
Eckart C (1940) The thermodynamics of irreversible processes. I–III. Phys Rev 58:267–269, 269–275, 919–924; IV, Phys. Rev. (1948), 73:373–382
Edelen DGD, McLennan JA (1973) Material indifference: a principle or a convenience. Int J Eng Sci 11:813–817
Grmela M (1984) Bracket formulation of dissipative fluid mechanics equations. Phys Lett A 102:355–358
Grmela M, Lebon G, Lhuillier D (2003) A comparative study of the coupling of flow with non-Fickean thermodiffusion. Part II: generic. J Non-Equilib Thermodyn 28:23–50
Gyarmati I (1970) Non-equilibrium Thermodynamics. Springer, Berlin
Haase R (1969) Thermodynamics of Irreversible Processes. Addison-Wesley, Reading, MA
Hoover W, Moran B, More R, Ladd A (1981) Heat conduction in a rotating disk via non-equilibrium molecular dynamics. Phys Rev A 24:2109–2115
Jou D, Llebot JE (1990) Introduction to the Thermodynamics of Biological Processes. Prentice-Hall, Englewood Cliffs, NJ
Kaplan SR and Essig A (1983) Bioenergetics and linear non-equilibrium Thermodynamics. The steady state, Harvard University Press, Cambridge MA
Kjelstrup S, Bedeaux D (2008) Non-equilibrium Thermodynamics of Heterogeneous Systems. World Scientific, Singapore
Kreuzer H. J (1981) Non-Equilibrium Thermodynamics and Its Statistical Foundations, Clarendon, Oxford
Lambermont J, Lebon G (1973) On a generalization of the Gibbs equation for heat conduction. Phys Lett A 42:499–500
Landau LD, Lifshitz EM (1985) Mechanics of Fluids. Pergamon, Oxford
Lavenda B (1979) Thermodynamics of Irreversible Processes. McMillan, London
Lebon G, Boukary MS (1988) Objectivity, kinetic theory, and extended irreversible thermodynamics. Ing J Eng Sci 26:471–483
Lebon G, Jou D, Casas-Vázquez J (2008b) Understanding Non-equilibrium Thermodynamics, Foundations, Applications, Frontiers. Springer, Berlin, Heidelberg
Liu I-S (1972) Method of Lagrange multipliers for exploitation of the entropy principle. Arch Rat Mech Anal 46:131–148
Lumley J (1983) Turbulence modeling. J Appl Mech 50:1097–1103
Meixner J (1943) Zur thermodynamik der irreversiblen prozesse in gasen mit chemisch rea-gierenden, dissozierenden und anregbaren komponenten. Ann Phys (Leipzig) 43:244–269
Meixner J, Reik HG (1959) Thermodynamik der Irreversible Prozesse. in Handbuch der Physik, Bd 3/ II, Springer, Berlin
Miller DG (1960) Thermodynamics of irreversible processes: the experimental verification of the Onsager reciprocal relations. Chem Rev 60:15–37
Murdoch AI (1983) On material frame-indifference, intrinsic spin and certain constitutive relations motivated by the kinetic theory of gases. Arch Rat Mech Anal 83:185–194
Noll W (1974) The Foundations of Mechanics and Thermodynamics. Springer, Berlin
Onsager L (1931) Reciprocal relations in irreversible processes. Phys Rev 37:405–426; 38: 2265–2279
Prigogine I (1949) Le domaine de validité de la thermodynamique des phénomènes irreversibles. Physica 15:272–284
Prigogine I (1961) Introduction to Thermodynamics of Irreversible Processes. Interscience, New York
Reynolds O (1885) On the dilatancy of media composed of rigid particles in contact. With experimental illustrations. Phil Mag 20:469–481
Ryskin G (1988) Brownian motion in a rotating fluid: diffusivity is a function of the rotating rate. Phys Rev Lett 61:1442–1445
Silhavy M (1997) The Mechanics and Thermodynamics of Continuous Media. Springer, Berlín
Snider RF, Lewchuk KS (1967) Irreversible thermodynamics of a fluid system with spin. J Chem Phys 46:3163–3172
Truesdell C (1968) Thermodynamics for beginners. In: Parkus H, Sedov L (eds) Irreversible Aspects of Continuum Mechanics. Springer, Wien
Truesdell C (1984) Rational Thermodynamics. 2nd edn. Springer, New York
Truesdell C, Noll W (1965) The Non-Linear Field Theories. In: Handbuch der Physik, Bd. III/3. Springer, Berlin
Truesdell C, Toupin R (1960) The Classical Field Theories. In: Handbuch der Physik, Bd. III/1. Springer, Berlin
Woods LC (1975) The Thermodynamics of Fluid Systems. Clarendon, Oxford
Woods LC (1981/1982) The bogus axioms of continuum mechanics. Bull Inst Math Appl 17: 98–102; 18:64–67
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Jou, D., Casas-Vázquez, J., Lebon, G. (2010). Classical, Rational and Hamiltonian Formulations of Non-equilibrium Thermodynamics. In: Extended Irreversible Thermodynamics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3074-0_1
Download citation
DOI: https://doi.org/10.1007/978-90-481-3074-0_1
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-3073-3
Online ISBN: 978-90-481-3074-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)