Non-equilibrium temperatures and heat transport in nanosystems with defects, described by a tensorial internal variable
References
- 1. J. Casas-Vazquez and D. Jou, Temperature in non-equilibrium states: a review of open problems and current proposals,, vol. 66bb, p. 1937, 2003.
- 2. J. G. Powles, G. Rickayzen, and D. M. Heyes, Temperatures: old, new and middle aged.,, vol. 103, pp. 1361–1373, 2005.
- 3. W. G. Hoover and C. G. Hoover, Non-equilibrium temperature and thermometry in heat-conducting models,, vol. 77, no. 041104, 2008.
- 4. M. Criado-Sancho, D. Jou, and J. Casas-Vazquez, Non-equilibrium kinetic temperature in flowing gases,, vol. 350, pp. 339–341, 2006.
- 5. R. S. Johal, Quantum heat engines and non-equilibrium temperature,, vol. 80, no. 041119, 2009.
- 6. D. Jou, V. A. Cimmelli, and A. Sellitto, Non-equilibrium temperatures and second-sound propagation along nanowires and thin wires,, vol. 373, pp. 4386–4392, 2009.
- 7. D. Jou and L. Restuccia, Non-equilibrium temperatures in systems with internal variables, in(M. Pilotelli and G. P. Beretta, eds.), University of Brescia, Italy, Cartolibreria SNOOPY s.n.c., 2013.
- 8. D. Jou and L. Restuccia, Temperature, heat transport, and dislocations,, vol. Supplemento, 2016.
- 9. D. Jou, J. Casas-Vazquez, and G. Lebon,. Springer, Berlin, fourth edition, 2010.
- 10. D. Jou and L. Restuccia, Mesoscopic transport equations and contemporary thermodynamics: an introduction,, vol. 52, no. 5, pp. 465–474, 2011.
- 11. L. Restuccia, On a non-conventional thermodynamical model of a crystal with defects of dislocation,.
- 12. L. Restuccia, Thermomechanics of porous solids filled by fluid flow, in(E. D. Bernardis, R. Spigler, and V. Valente, eds.), vol. 82, pp. 485–495, 2010.
- 13. F. R. N. Nabarro,. Clarendon Press, Oxford, 1967.
- 14. D. Hull,. Pergamon Press, London, Oxford, 1975.
- 15. B. Maruszewski, On a dislocation core tensor,, vol. 168, p. 59, 1991.
- 16. J. Kubik, A macroscopic description of geometrical pore structure of porous solids,, vol. 24, p. 971, 1986.
- 17. M. Grmela, G. Lebon, and C. Dubois, Multiscale thermodynamics and mechanics of heat,, vol. 83, no. 6, p. 061134, 2011.
- 18. G. Lebon, H. MacHrafi, M. Grmela, and C. Dubois, An extended thermodynamic model of transient heat conduction at sub-continuum scales,, vol. 467, pp. 3241–3256, 2011.
- 19. G. Lebon, Heat conduction at micro and nanoscales: a review through the prism of extended irreversible thermodynamics,, vol. 39, p. 35, 2014.
- 20. G. Fichera, Is the Fourier theory of heat propagation paradoxical?,, vol. II, no. XLI, pp. 5–16, 1992.
- 21. C. Cattaneo, Sulla conduzione del calore,, vol. 3, pp. 83–101, 1948.
- 22. W. Muschik,. World Scientific, Singapore, 1990.
- 23. W. Muschik, Non-equilibrium thermodynamics with applications to solids, in(W. Muschik, ed.), Springer-Verlag, Wien-New York, 1993.
- 24. W. Muschik, C. Papenfuss, and H. Ehrentraut, A sketch of continuum thermodynamics,, vol. 96, pp. 255–299, 2001.
- 25. W. Muschik and L. Restuccia, Terminology and classification of special versions of continuum thermodynamics,, vol. 1, no. 10.1685/CSC06120 ISSN 1827-9015, 2006.
- 26. I. S. Liu, The method of Lagrange multipliers for exploitation of the entropy principle,, vol. 46, p. 131, 1972.
- 27. W. Muschik and L. Restuccia, Systematic remarks on objectivity and frame-indifference, liquid crystal theory as an example,, no. 10.1007/s00419-007-0193-2, pp. 1–18, 2008.
DOI: https://doi.org/10.1515/caim-2016-0007 | Journal eISSN: 2038-0909
Language: English
Page range: 81 - 97
Submitted on: Jan 14, 2015
Accepted on: Jun 14, 2015
Published on: May 20, 2016
Published by: Italian Society for Applied and Industrial Mathemathics
In partnership with: Paradigm Publishing Services
Related subjects:
© 2016 Liliana Restuccia, published by Italian Society for Applied and Industrial Mathemathics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.