Other Approaches to Thermodynamics

  • Antonio Romano
  • Addolorata Marasco
Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)


The thermodynamics adopted in the preceding chapters of the book is based on the Clausius–Duhem inequality. In this theory all the concepts of elementary thermodynamics of homogeneous and reversible processes are extended to irreversible processes without any criticism. In this chapter other proposals are discussed which have the purpose of making more convincing the extension of standard concepts of elementary thermodynamics to irreversible processes. In particular, we sketch the proposals of Day’s, Serrin’s, and of the extended thermodynamics.


Constitutive Equation Cyclic Process Irreversible Process Accumulation Function Entropy Inequality 
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  1. [5]
    B. Coleman, V. Mizel, Existence of caloric equations of state in thermodynamics. J. Chem. Phys. 40, (1964)Google Scholar
  2. [6]
    W.A. Day, Thermodynamics based on a work axiom. Arch. Rat. Mech. Anal. 31, (1968)Google Scholar
  3. [8]
    W.A. Day, Entropy and Hidden variables in continuum thermodynamics. Arch. Rat. Mech. Anal. 62, (1976)Google Scholar
  4. [10]
    A. Eringen, E. Suhubi, Elastodynamics, vol. I (Academic Press, New York and London, 1974)Google Scholar
  5. [11]
    E. Fermi, Termodinamica (Boringhieri, Torino, 1958)Google Scholar
  6. [19]
    D. Iannece, A. Romano, D. Starita, The coldness, a universal function in thermoelastic bodies. Arch. Rat. Mech. Anal. 75, (1981a)Google Scholar
  7. [20]
    D. Iannece, G. Starita, A new proof of the existence of the internal energy and entropy for rate type materials. Ric. di Matematica XXIX, (1981b)Google Scholar
  8. [29]
    I-Shih Liu, Method of Lagrange multipliers for exploitation of the entropy principle. Arch. Rat. Mech. Anal. 46, (1972)Google Scholar
  9. [40]
    I. Müller, T. Ruggeri, Rational Extended Thermodynamics, 2nd edn. Springer Tracts in Natural Philosophy, vol. 37. (Springer, New York, 1998)Google Scholar
  10. [60]
    J. Serrin, Foundations of Thermodynamics. Lecture notes of a course held in Naples (1977)Google Scholar
  11. [67]
    C. Truesdell, W. Noll, The Nonlinear Field Theories of Mechanics. Handbuch der Physik, vol. III/3 (Springer, Berlin/New York, 1965)Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Antonio Romano
    • 1
  • Addolorata Marasco
    • 1
  1. 1.Department of Mathematics and Applications “R. Caccioppoli”University of Naples Federico IINaplesItaly

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