An Applied Component Modeling to the Irreversibility from a New Configurationally Perspective of the Statistical Physics

Authors

  • Saeed Shahsavari Department of Mechanical Engineering, Isfahan University of Technology, Iran
  • Mehran Moradi Department of Mechanical Engineering, Isfahan University of Technology, Iran

DOI:

https://doi.org/10.24203/ajfam.v8i3.6434

Keywords:

Statistical Physics; Irreversibility Structure; Irreversibility components; Energy Structure; Energy components

Abstract

From the perspective of statistical physics (Boltzmann equation), configurational entropy can be calculated using the study of the microstates of the system. When a physical process is performed, identifying the entropy production can be used to investigate the irreversibility, but from the perspective of the Boltzmann equation, to study entropy production, both all microstates and macrostates must be studied. Therefore, a very large volume of calculations will be needed. In this report, using a new innovative energy structure equation, a new macroscopic component modeling is extracted to investigate the configurational irreversibility. To investigate the irreversibility in physical systems, the energy structure equation of the system can be studied in different paths. During performing a physical process, some activated energy components related to the reversible process and remain will be related to the irreversible process. In this report, also using a quasi-statistical approach, the structure of irreversible components is studied. When macroscopic energy components are the base of the equations, a very large volume of the needed calculations will be less than Boltzmann equation and in fact, studying all particles isn’t needed, but it is enough that a few macroscopic components to be investigated. Also, considering the theories of dissipated energy, the extracted equations have the same base as the different formulations of the second law of thermodynamics.

References

Sheehan, D. P. "The second law of thermodynamics: Foundations and status." Foundations of Physics 37.12 (2007): 1653-1658.

Erlichson, Herman. "Sadi Carnot,Founder of the Second Law of Thermodynamics'." European journal of physics 20.3 (1999): 183.

Carnot, Sadi, Rudolf Clausius, and William Thomson Baron Kelvin. The Second Law of Thermodynamics. American Book Company, 1899.

Luzzi, Roberto, Áurea R. Vasconcellos, and J. Galvão Ramos. "On the statistical foundations of irreversible thermodynamics." Fortschritte der Physik: Progress of Physics 47.4 (1999): 401-432.

Onsager, Reciprocal relations in irreversible processes I. Phys. Rev. 37, 405 (1931); ibid. II 38, 2235 (1931).

Kostic, Milivoje M. "Revisiting the second law of energy degradation and entropy generation: From Sadi Carnot's ingenious reasoning to Holistic generalization." AIP Conference Proceedings. Vol. 1411. No. 1. American Institute of Physics, 2011.

Goldstein, Sheldon. "Boltzmann’s approach to statistical mechanics." Chance in physics. Springer, Berlin, Heidelberg, 2001. 39-54.

Wallace, David. "Probability and irreversibility in modern statistical mechanics: Classical and quantum." Quantum Foundations of Statistical Mechanics (Oxford University Press, forthcoming) (2016).

Čápek, V., and D. P. Sheehan. "Quantum mechanical model of a plasma system: a challenge to the second law of thermodynamics." Physica A: Statistical Mechanics and its Applications 304.3-4 (2002): 461-479.

Lambert, Frank L. "Configurational entropy revisited." Journal of Chemical Education 84.9 (2007): 1548.‏

Karplus, Martin, and Joseph N. Kushick. "Method for estimating the configurational entropy of macromolecules." Macromolecules 14.2 (1981): 325-332.‏

Di Marzio, Edmund A., and Arthur JM Yang. "Configurational entropy approach to the kinetics of glasses." Journal of research of the National Institute of Standards and Technology 102.2 (1997): 135.‏

Richet, Pascal. "Viscosity and configurational entropy of silicate melts." Geochimica et Cosmochimica Acta 48.3 (1984): 471-483.‏

Richert, Ranko, and C. A. Angell. "Dynamics of glass-forming liquids. V. On the link between molecular dynamics and configurational entropy." The Journal of chemical physics 108.21 (1998): 9016-9026.‏

Harpole, Kyle W., and Kim A. Sharp. "Calculation of configurational entropy with a Boltzmann–quasiharmonic model: the origin of high-affinity protein–ligand binding." The Journal of Physical Chemistry B 115.30 (2011): 9461-9472.‏

Coveney, Peter V. "The second law of thermodynamics: entropy, irreversibility and dynamics." Nature 333.6172 (1988): 409-415.

Lucia, Umberto. "Statistical approach of the irreversible entropy variation." Physica A: Statistical Mechanics and its Applications 387.14 (2008): 3454-3460.

Cohen, E. G. D. "Boltzmann and Einstein: Statistics and dynamics—an unsolved problem." Pramana 64.5 (2005): 635-643.

Thomson, William. "9. The kinetic theory of the dissipation of energy." Proceedings of the Royal Society of Edinburgh 8 (1875): 325-334.

Burbury, S. H. "LII. A theorem on the dissipation of energy." The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 13.83 (1882): 417-419.

Rayleigh, Lord. "On the dissipation of energy." Van Nostrand's Eclectic Engineering Magazine (1869-1879) 12.78 (1875): 519.

Thomson, William. "2. On a Universal Tendency in Nature to the Dissipation of Mechanical Energy." Proceedings of the Royal Society of Edinburgh 3 (1857): 139-142.

Eu, Byung C. "Kinetic theory and irreversible thermodynamics." NASA STI/Recon Technical Report A 93 (1992).

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Published

2020-12-29

How to Cite

Shahsavari, S., & Mehran Moradi. (2020). An Applied Component Modeling to the Irreversibility from a New Configurationally Perspective of the Statistical Physics. Asian Journal of Fuzzy and Applied Mathematics, 8(3). https://doi.org/10.24203/ajfam.v8i3.6434