Completing irving and kirkwood's molecular theory of transport processes: nonequilibrium entropy conservation

Industrial and Engineering Chemistry Research

Volumn 48, Issue 1, 2009, Pages 166-171

  Peters, Michael H ^a  

^a Virginia Commonwealth University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN; CLASSICAL APPROACHES; CLOSED FORMS; COMPLEX SYSTEMS; CONSERVATION EQUATIONS; DENSE GAS; DYNAMICAL VARIABLES; ENERGY-EFFICIENT; ENGINEERING SYSTEMS; ENTROPY CHANGES; ENTROPY GENERATIONS; GENERAL APPROACHES; HIGHER ORDERS; IRREVERSIBLE THERMODYNAMICS; ISOLATED SYSTEMS; LOCAL EQUILIBRIUMS; MINIMUM ENTROPIES; MOLECULAR BASIS; MOLECULAR THEORIES; NON EQUILIBRIUMS; PERTURBATION EXPANSIONS; PHASE SPACES; TRANSPORT EQUATIONS; TRANSPORT PROCESS;

ENERGY EFFICIENCY; GAS FUEL ANALYSIS; PERTURBATION TECHNIQUES; PHASE SPACE METHODS; STATISTICAL MECHANICS;

ENTROPY;

EID: 61649098673     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie800170s     Document Type: Article

References (16)

1. For a more contemporary view, see, e.g., Prigogine, I. From Being to Becoming. Time and Complexities in the Physical Sciences; W. H. Freeman Co.: New York, 1980.
2. Irving, J. H.; Kirkwood, J. G. The Statistical Mechanical Theory of Transport Processes. IV. The Equations of Hydrodynamics. J. Chem. Phys. 1950, 18, 817.
3. Gaspard, P. Entropy Production in Open Volume-Preserving Systems. J. Stat. Phys. 1997, 88, 1215. and the references cited therein.
4. Ottinger, H. C. Beyond Equilibrium Thermodynamics; Wiley: New York, 2005.
5. (a) Jaynes, E. T. Phys. Rev. 1957, 106, 620; 108, 171.
6. (b) Katz, A. Principles of Statistical Mechanics, The Information Theory Approach; W. H. Freeman: San Francisco, CA, 1967.
7. Schack, R.; Caves, C. M. Chaos for Liouville Probability Densities. Phys. Rev. E 1996, 53, 3387.
8. Jaynes, E. T. Gibbs Vs. Boltzmann Entropies. Am. J. Phys. 1965, 33, 391.
9. Hirschfelder, J. O.; Curtiss, C. F.; Bird, R. B. Molecular Theory of Gases and Liquids; Wiley: New York, 1964.
10. Chapman, S.; Cowling, T. G. The Mathematical Theory of Non-Uniform Gases; Cambridge University Press: New York, 1970.
11. Abramowitz, M. Stegun, I. A. Handbook of Mathematical Functions; Dover: New York, 1972; in particular, see Sec. 4.1.31 for the asymptotic behavior of x In x.
12. Peters, M. H. Molecular Thermodynamics and Transport Phenomena. Complexities of Scales in Space and Time; McGraw-Hill: New York, 2005.
13. Dense gas and liquid perturbation expansions were first treated in a series of papers by Born, M.; Green, H. S. Proc. R. Soc. London, Ser. A 1947, 189, 27;
14. ibid, 1946, 188, 10;
15. ibid, 1947, 189, 103. See, e.g., ref 8 for more extensive citations and discussions.
16. Bird, R. B.; Stewart, W. E.; Lightfoot, E. N. Transport Phenomena; Wiley: New York, 1960.