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Non-redundant and natural variables definition of heat valid for open systems

Year 2013, Volume: 16 Issue: 3, 102 - 108, 05.09.2013

Abstract

Although an unambiguous definition of heat is available for closed systems, the question of how best
to define heat in open systems is not yet settled.
After introducing a set of physical requirements for the definition of heat, this article reviews the
non-equivalent definitions of heat for open systems used by Callen, Casas-Vázquez, DeGroot,
Fox, Haase, Jou, Kondepudi, Lebon, Mazur, Misner, Prigogine, Smith, Thorne, and
Wheeler, emphasizing which physical requirements are not met.

A subsequent section deals with the main objective of this article and introduces a new definition of
heat that avoids the difficulties of the existent definitions, providing (i) a complete distinction between
open and closed systems, (ii) non-redundancy, (iii) natural variables for the thermodynamic potentials,
and (iv) a sound, complete, and intuitive generalization of classical thermodynamic expressions.

References

  • D. K. Kondepudi and I. Prigogine, Modern Thermodynamics. Chichester: John Wiley & Sons, 19 G. H. Bryan, Thermodynamics, an introductory treatise dealing mainly with first principles and their direct applications. Leipzig: B. G. Teubner, 1907.
  • R. Haase, "Survey of fundamental laws," in Physical Chemistry, An Advanced Treatise, Volume I Thermodynamics, W. Jost, Ed. London: Academic Press, 1971.
  • H. B. Callen, Thermodynamics and an Introduction to Thermostatistics, 2nd ed. New York: John Wiley & Sons, 1985.
  • D. A. Smith, "Definition of Heat in Open Systems," Aust. J. Phys., vol. 33, pp. 95–105,.1990.
  • E. R. Cohen, Ed. Quantities, Units and Symbols in Physical Chemistry, 2nd Printing. Cambridge: IUPAC & RSC Publishing, 2008.
  • S. R. De Groot and P. Mazur, Non-equilibrium thermodynamics. New York: Courier Dover Publications, 1984.
  • R. F. Fox, "Non-equilibrium thermodynamics," in Encyclopedia of Chemical Physics and Physical Chemistry, Volume I Fundamentals, J. H. Moore and N. D. Spencer, Eds. Bristol: IOP Publishing Bristol, 2001. D. Jou, J. Casas-Vázquez, and G. Lebon, Extended Irreversible Thermodynamics, 4th Ed. New York: Springer, 2010.
  • R. Balescu, Statistical dynamics; matter out of equilibrium. London: Imperial College Press, 1997.
  • C. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation. San Francisco: W. H. Freeman & Co., 19
Year 2013, Volume: 16 Issue: 3, 102 - 108, 05.09.2013

Abstract

References

  • D. K. Kondepudi and I. Prigogine, Modern Thermodynamics. Chichester: John Wiley & Sons, 19 G. H. Bryan, Thermodynamics, an introductory treatise dealing mainly with first principles and their direct applications. Leipzig: B. G. Teubner, 1907.
  • R. Haase, "Survey of fundamental laws," in Physical Chemistry, An Advanced Treatise, Volume I Thermodynamics, W. Jost, Ed. London: Academic Press, 1971.
  • H. B. Callen, Thermodynamics and an Introduction to Thermostatistics, 2nd ed. New York: John Wiley & Sons, 1985.
  • D. A. Smith, "Definition of Heat in Open Systems," Aust. J. Phys., vol. 33, pp. 95–105,.1990.
  • E. R. Cohen, Ed. Quantities, Units and Symbols in Physical Chemistry, 2nd Printing. Cambridge: IUPAC & RSC Publishing, 2008.
  • S. R. De Groot and P. Mazur, Non-equilibrium thermodynamics. New York: Courier Dover Publications, 1984.
  • R. F. Fox, "Non-equilibrium thermodynamics," in Encyclopedia of Chemical Physics and Physical Chemistry, Volume I Fundamentals, J. H. Moore and N. D. Spencer, Eds. Bristol: IOP Publishing Bristol, 2001. D. Jou, J. Casas-Vázquez, and G. Lebon, Extended Irreversible Thermodynamics, 4th Ed. New York: Springer, 2010.
  • R. Balescu, Statistical dynamics; matter out of equilibrium. London: Imperial College Press, 1997.
  • C. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation. San Francisco: W. H. Freeman & Co., 19
There are 9 citations in total.

Details

Primary Language English
Journal Section Regular Original Research Article
Authors

Juan Ramón González álvarez

Publication Date September 5, 2013
Published in Issue Year 2013 Volume: 16 Issue: 3

Cite

APA González álvarez, J. R. (2013). Non-redundant and natural variables definition of heat valid for open systems. International Journal of Thermodynamics, 16(3), 102-108.
AMA González álvarez JR. Non-redundant and natural variables definition of heat valid for open systems. International Journal of Thermodynamics. September 2013;16(3):102-108.
Chicago González álvarez, Juan Ramón. “Non-Redundant and Natural Variables Definition of Heat Valid for Open Systems”. International Journal of Thermodynamics 16, no. 3 (September 2013): 102-8.
EndNote González álvarez JR (September 1, 2013) Non-redundant and natural variables definition of heat valid for open systems. International Journal of Thermodynamics 16 3 102–108.
IEEE J. R. González álvarez, “Non-redundant and natural variables definition of heat valid for open systems”, International Journal of Thermodynamics, vol. 16, no. 3, pp. 102–108, 2013.
ISNAD González álvarez, Juan Ramón. “Non-Redundant and Natural Variables Definition of Heat Valid for Open Systems”. International Journal of Thermodynamics 16/3 (September 2013), 102-108.
JAMA González álvarez JR. Non-redundant and natural variables definition of heat valid for open systems. International Journal of Thermodynamics. 2013;16:102–108.
MLA González álvarez, Juan Ramón. “Non-Redundant and Natural Variables Definition of Heat Valid for Open Systems”. International Journal of Thermodynamics, vol. 16, no. 3, 2013, pp. 102-8.
Vancouver González álvarez JR. Non-redundant and natural variables definition of heat valid for open systems. International Journal of Thermodynamics. 2013;16(3):102-8.