Thermodynamics of the activated state of materials

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Abstract

The thermodynamics of irreversible processes is extended to deformable materials whose state and behavior under nonequilibrium conditions are determined by the value and evolution of the additional parameter — the activation parameter. General thermodynamic relations are presented. The concept of the time of existence of a nonequilibrium state is introduced, and the phase coexistence conditions are generalized taking into account the properties of the interface. Methods are described to generalize the relations for irreversible flows, thermodynamic forces, and the equations of state.

Key words

irreversible processes activation parameter nonequilibrium conditions thermodynamics 
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References

  1. 1.
    A. G. Knyazeva and S. G. Psakhie “Modeling nonequilibrium diffusion accompanied by internal stresses,” Fiz. Mezomekh., 8, 41–44 (special issue) (2005).Google Scholar
  2. 2.
    A. G. Knyazeva and S. G. Psakhie “Irreversible mass transfer during interaction of charged beams with surface proceedings,” Izv. Vyssh. Uchebn. Zaved., Fiz., 49, No. 8, 169–172. (Appendix) (2006).Google Scholar
  3. 3.
    S. G. Psakhie, K. P. Zol’nikov, and V. E. Panin, “Construction of nonequilibrium diagrams of state of the T-n type and their use to analyze the temperature dependence of the phase composition on their basis,” Izv. Vyssh. Uchebn. Zaved., Fiz., 28, No. 8, 69–72 (1985).MathSciNetGoogle Scholar
  4. 4.
    K. P. Zolnikov, S. G. Psakhie, and V. E. Panin, “Alloy phase diagrams using temperatures, concentration and density as variables,” J. Phys. F, 16, No. 8, 1145–1152 (1986).CrossRefADSGoogle Scholar
  5. 5.
    S. G. Psakhie, K. P. Zolnikov, D. S. Kryzhevich, and A. G. Lipnitskii, “On structural defect generation induced by thermal oscillations in materials with a perfect lattice under dynamic loading,” Phys. Lett. A, 349, 509–512 (2006).CrossRefADSGoogle Scholar
  6. 6.
    S. G. Psakhie, K. P. Zolnikov, and D. S. Kryzhevich, “Elementary atomistic mechanism of crystal plasticity,” Phys. Lett. A, 367, 250–253 (2007).CrossRefADSGoogle Scholar
  7. 7.
    S. R. de Groot and P. Mazur, Non-Equilibrium Thermodynamics, North-Holland, Amsterdam (1962).Google Scholar
  8. 8.
    I. Dyarmati, Nonequilibrium Thermodynamics: Field Theory and Variational Principles, Springer, Berlin (1970).Google Scholar
  9. 9.
    L. I. Sedov, Mechanics of a Continuous Medium [in Russian], Nauka, Moscow (1983).Google Scholar
  10. 10.
    S. G. Psakhe, K. P. Zolnikov, and D. S. Kryzhevich, “Thermofluctuation formation of local structural changes in a crystal under dynamic loading,” Fiz. Mezomekh., 8, No. 5, 55–60 (2005).Google Scholar
  11. 11.
    I. G. Mikhaillov, V. A. Solov’ev, and Yu. P. Syrnikov, Foundations of Molecular Acoustics [in Russian], Nauka, Moscow (1964).Google Scholar
  12. 12.
    A. S. Nowick and B. S. Berry, Anelastic Relaxation in Crystalline Solids, Academic, New York (1972).Google Scholar
  13. 13.
    A. G. Knyazeva, “Modeling irreversible processes in materials with a large number of internal surfaces,” Fiz. Mezomekh., 6, No. 5, 11–27 (2003).Google Scholar
  14. 14.
    A. Maugin Gerard and W. Muschik, “Thermodynamics with internal variables,” J. Non-Equilibr. Thermodyn., 19, No. 3, 217–289 (1994).MATHCrossRefGoogle Scholar
  15. 15.
    A. N. Gorban’, V. I. Bykov, and G. S. Yablonskii, Sketches on Chemical Relaxation [in Russian], Nauka, Novosibirsk (1986).Google Scholar
  16. 16.
    A. G. Knyazeva, “Generalization of the Clausius-Clapeyron equation in a coupled thermomechanical model,” J. Appl. Mech. Tech. Phys., 40, No. 6, 1088–1096 (1999).CrossRefADSGoogle Scholar
  17. 17.
    A. V. Tyan, A. G. Knyazeva, and S. G. Psakhe, “Nonlinear effects in the surface layer of titanium nickelide under nonequilibrium activation by a pulsed electron beam,” Izv. Vyssh. Uchebn. Zaved., Fiz., 50, No. 3, 8–16 (2007).Google Scholar

Copyright information

© MAIK/Nauka 2009

Authors and Affiliations

  1. 1.Institute of Physics of Strength and Materials Science, Siberian DivisionRussian Academy of SciencesTomskRussia

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