Condensation of hard rods under gravity: Exact results in one dimension

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 63, Issue 5, 2001, Pages

  Hong, Daniel C ^a  

^a LEHIGH UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; CONDENSATION; ELASTICITY; GAUSSIAN NOISE (ELECTRONIC); GRANULAR MATERIALS; GRAVITATIONAL EFFECTS; INTEGRAL EQUATIONS; MOLECULAR DYNAMICS; PROBABILITY DENSITY FUNCTION; SPHERES; THERMAL EFFECTS; VIBRATIONS (MECHANICAL);

HARD RODS;

GAS DYNAMICS;

EID: 0035335153     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.051506     Document Type: Article

References (23)

1. D.C. Hong, Physica A 271, 192 (1999).
2. D. Enskog and K. Sven, Vetensk. Handl. 63, 5 (1922);
3. S. Chapman and T.G. Cowling, The Mathematical Theory of Nonuniform Gases (Cambridge University Press, London, 1970).
4. P.V. Quinn and D.C. Hong, e-print cond-mat/0005196.
5. J.G. Kirkwood, J. Chem. Phys. 7, 911 (1939);
6. N.N. Bogoliubov, J. Phys. (Moscow) 10, 257 (1946);
7. M. Born and M.S. Green, A General Kinetic Theory of Liquids (Cambridge University Press, Cambridge, 1949).
8. P. Tarazona, Phys. Rev. A 31, 2672 (1985);
9. P. TarazonaMol. Phys. 52, 81 (1984).
10. J.K. Percus and G.J. Yevick, Phys. Rev. 110, 1 (1958).
11. Y. Levin, Physica A 287, 100 (2000).
12. H. Hayakawa and D.C. Hong, Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, 1159 (1997).
13. E. Clement and J. Rajchenbach, Europhys. Lett. 16, 133 (1991).
14. H. Hayakawa and D.C. Hong, Phys. Rev. Lett. 78, 2764 (1997).
15. H. Ted Davis, Statistical Mechanics of Phases, Interfaces, and Thin Films (VHC Publishers, Inc., New York, 1996), Chap. 4.
16. T. Biben, R. Ohbesorge, and H. Lowen, Europhys. Lett. 71, 665 (1993).
17. D.C. Hong and K. McGouldrick, Physica A 255, 415 (1998).
18. M.E. Fisher, J. Chem. Phys. 42, 3852 (1965).
19. H. Jaeger, S.R. Nagel, and R.P. Behringer, Rev. Mod. Phys. 68, 1259 (1999);see also Granular Gases, edited by S. Luding, T. Poschel, and H. Herrmann (Springer-Verlag, Berlin, 2000).
20. G. Lukaszewicz, Micropolar Fluids: Theory and Applications (Birkhäuser, Boston, 1999);
21. H. Hayakawa, Phys. Rev. E 61, 5477 (2000).
22. I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993).
23. P.V. Quinn and D.C. Hong, Physica A 274, 572 (1999).