Self Similarity, Scaling and Renormalization Group Theory Used to Generate Equations of State for Hard-Particle Fluids

Altenberger, A.; Dahler, J.S.

Artykuł - szczegóły

Tytuł artykułu

Self Similarity, Scaling and Renormalization Group Theory Used to Generate Equations of State for Hard-Particle Fluids

Autorzy

Altenberger A. , Dahler J.S.

Identyfikatory

Warianty tytułu

Języki publikacji

Abstrakty

An approach based on the concept of functional self-similarity is used to derive equations of state for two- and three-dimensional hard-particle fluids. Calculations indicate that this procedure works quite well, producing estimates of the compressibility factor that closely agree with the results of computer simulation.

Słowa kluczowe

fluids hard particle model equation of state simulation

Wydawca

Polskie Towarzystwo Chemiczne

Czasopismo

Polish Journal of Chemistry

Rocznik

2001

Tom

Vol. 75, nr 4

Strony

601--616

Opis fizyczny

Bibliogr. 30 poz., rys.

Twórcy

autor

Altenberger A.

Departments of Chemistry and of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455, U.S.A.

autor

Dahler J.S.

Departments of Chemistry and of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455, U.S.A.

Bibliografia

1. Lebowitz J.L. and Percus J.K, Phys. Rev., 124, 1673 (1961).
2. van Rensburg J.E.J., J. Phys., A26,4805 (1993).
3. Aguilera-Navarro V.C., Fortes M., de Llano M., Plastino A., del Rio J. and Rojo O., J. Statist. Phys., 32, 95 (1983).
4. Carnahan N.F. and Starling K., J. Chem. Phys., 51, 635 (1969).
5. Shinomoto S., J. Statist. Phys., 32, 105 (1983).
6. Helfand E., Frisch H.L. and Lebowitz J. L., J. Chem. Phys., 34, 1037 (1961).
7. Ree F.M. and Hoover W.G., J. Chem. Phys., 40, 939 (1964).
8. Song Y., Stratt R.M. and Mason E.M., J. Chem. Phys., 88, 1126 (1988).
9. Tobochnik J. and Chapin P.M., J. Chem. Phys., 88, 5824 (1988).
10. Shirkov D.V., Int. J. of Mod. Phys., 73, 1321 (1988).
11. Sokolowski S., J. Chem. Phys., 73, 3507 (1980); Mol. Phys., 49, 1481 (1983).
12. Henderson D. and Sokolowski S., J. Chem. Phys., 103, 7541 (1995).
13. Henderson D., Chan Kwong-yu and Degreve L., J. Chem. Phys., 101, 6975 (1995).
14. Attard P., J. Chem. Phys., 91, 3072 (1989); 91,3083 (1989).
15. Labik S., Malijevsky A. and Smith W.R., Mol. Phys., 83,983 (1994).
16. Smith W.R., Labik S., Malijevsky A. and Siblbaauer J., Mol. Phys., 83, 1223 (1994).
17. Altenberger A.R., Siepmann J.L and Dahier J.S., Physica, A272,22 (1999).
18. Bogoliubov N.N. and Shirkov D.V., Quantum Fields, (Benjamin-Cummings Publ., London, 1982).
19. Cramer H., Mathematical Methods of Statistics, (Princeton University Press, Princeton, NJ, 1945).
20. Tonks L., Phys. Rev., 50,955 (1936),
21. Berryman I. G., Phys. Rev., A27, 1053 (1983).
22. Erpenbeck J.J. and Luban M., Phys. Rev., A32,2920 (1985).
23. Rotenberg A., / Chem. Phys., 42, 1126 (1965).
24. Metropolis N., Rosenbluth A.W., Rosenbluth M.N. and Teller A.H., J. Chem. Phys., 21, 1087 (1953).
25. Erpenbeck J. J. and Wood W.W., J. Statist. Phys., 35, 321 (1984).
26. Woodcock L.V., Ann. N. Y. Acad. Sci., 371, 274 (1981).
27. Kadanoff L.P., Physics, 2, 263 (1966).
28. Maris H.J. and Kadanoff L.P., Ann. J. Phys., 46, 652 (1978).
29. de Gennes P.G., Scaling Concepts in Polymer Physics, (Cornell University Press, Ithaca, 1979).
30. Hansen J.-P. and McDonald J.R., Theory of Simple Liquids, (Academic Press, London, 1990).

Typ dokumentu

Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-article-BUJ1-0017-0037