Abstract
The phenomenon of heat conduction in a two-dimensional gas ofN hard disks is studied in the hydrostatic regime by means of nonequilibrium molecular dynamics (N ranging from 100 to 8000). For systems withN≥1500 the temperature and density profiles observed are in excellent agreement with the continuous theory, but the conductivityk differs from the one derived from Enskog's theory in a systematic way. This difference seems to slowly decrease with increasing density.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. H. Ferziger and H. G. Kaper,Mathematical Theory of Transport Processes in Gases, (North-Holland, Amsterdam, 1972).
D. Gass,J. Chem. Phys. 54:1898 (1971).
B. J. Alder and T. E. Wainwright,Phys. Rev. A 1:18 (1970).
D. Levesque, L. Verlet, and J. Kürkijarvi,Phys. Rev. A 7:1690 (1993).
A. Tenenbaum, G. Ciccotti, and R. Gallico,Phys. Rev. A 25:2778 (1982).
G. Ciccotti, InMicroscopic Simulations of Complex Flows, M. Marechal, ed. (Plenum Press, New York, 1990).
J. J. Erpenbeck and W. W. Wood,Phys. Rev. A 26:1648 (1982).
M. Mareschal and E. Kestemont,Phys. Rev. A 30:1158 (1984).
M. Mareschal, InMolecular Dynamics Simulations of Statistical-Mechanical Systems, G. Ciccotti and W. G. Hoover, eds. (North-Holland, Amsterdam 1986), p. 325.
D. C. Rapaport,J. Comp. Phys. 34:184 (1980).
B. D. Lubachevsky,J. Comp. Phys. 94:225 (1991).
M. Marín, D. Risso, and P. Cordero,J. of Comp. Phys. 109:306 (1993).
D. C. Rapaport,Phys. Rev. A 46:1971 (1992).
M. Mareschal and E. Kestemont,J. Stat. Phys. 48:1187 (1987); A. Puhl, M. Malek-Mansour, and M. Mareschal,Phys. Rev. A 40:1999 (1989).
D. C. Rapaport,Phys. Rev. Lett.,60:2480 (1988), D. C. Rapaport,Phys. Rev. A 46:1971 (1992).
D. Risso and P. Cordero, InCondensed Matter Theories, A. N. Proto and J. Aliaga, eds. (Plenum Press, New York, 1992); D. Risso and P. Cordero, InProceedings of the IV Instabilities and Nonequilibrium Structures, E. Tirapegui and W. Zeller, eds. (Kluwer, Dordrecht, 1992).
D. Risso, Ph.D. thesis, Universidad de Chile (1994).
D. Henderson,Mol. Phys. 30:971 (1975).
F. F. Abraham,Phys. Rep. 53:93 (1979).
M. P. Allen, and D. J. Tildesley,Computer Simulation of Liquids (Clarendon Press, Oxford, 1989).
J. P. Hansen and I. R. McDonald,Theory of Simple Liquids, 2nd ed. (Academic Press, New York, 1986).
C. Trozzi, and G. Ciccotti,Phys. Rev. A. 29:916 (1984).
J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird,Molecular Theory of Gases and Liquids (Wiley, New York, 1954).
W. G. Hoover,Molecular Dynamics (Springer-Verlag, New York, 1986), pp. 65, 130.
G. Ciccotti and W. G. Hoover,Molecular Dynamics Simulations of Statistical-Mechanical Systems (North-Holland, New York, 1986), comment by M. Mareschal, p. 325.
M. Mareschal and U. Krebs, InProceedings of the Eurotherm 36 Conference, to appear.
J. A. Barker and D. Henderson,Rev. Mod. Phys. 48:587 (1976).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Risso, D., Cordero, P. Two-dimensional gas of disks: Thermal conductivity. J Stat Phys 82, 1453–1466 (1996). https://doi.org/10.1007/BF02183391
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02183391