Abstract
Finite systems of hard disks placed in a temperature gradient and in an external constant field have been studied, simulating a fluid heated from below. We used the methods of nonequilibrium molecular dynamics. The goal was to observe the onset of convection in the fluid. Systems of more than 5000 particles have been considered and the choice of parameters has been made in order to have a Rayleigh number larger than the critical one calculated from the hydrodynamic equations. The appearance of rolls and the large fluctuations in the velocity field are the main features of these simulations.
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References
P. Glandsdorff and I. Prigogine,Thermodynamic Theory of Structure, Stability and Fluctuations (Wiley-Interscience, New York, 1971).
G. Nicolis and I. Prigogine,Self-Organisation in Nonequilibrium Systems (Wiley-Interscience, New York, 1977).
S. Chandrasekhar,Hydrodynamic and Hydromagnetic Stability (Clarendon Press, Oxford, 1961).
A. M. S. Tremblay, inRecent Developments in Non-Equilibrium Thermodynamics, J. M. Rubi, G. Lebon, and J. Casas-Vasquez, eds. (Springer, Berlin, 1984).
R. Smitz and E. G. D. Cohen,J. Stat. Phys. 40:431 (1985).
J. Swift and P. C. Hohenberg,Phys. Rev. A 15:319 (1977).
R. Graham,Phys. Rev. A 10:1762 (1974).
V. M. Zaitsev and M. I. Schliomis,Sov. Phys. JETP 32:866 (1977).
G. Ahlers, M. C. Cross, P. C. Hohenberg, and S. Safran,J. Fluid Mech. 110:297 (1981).
D. J. Evans and W. G. Hoover,Annu. Rev. Fluid Mech. 18:243 (1986).
G. Ciccotti and W. G. Hoover (eds.),Molecular-Dynamics Simulation of Statistical-Mechanical Systems (North-Holland, Amsterdam, 1987).
M. Mareschal, E. Kestemont, F. Baras, E. Clementi, and G. Nicolis,Phys. Rev. A (1987), to appear.
D. J. Evans, H. J. M. Hanley, and S. Hess,Phys. Today 26, (January 1984).
M. Mareschal and E. Kestemont,Phys. Rev. A 30:1158 (1984).
M. Malek Mansour, A. L. Garcia, G. C. Lie, and E. Clementi,Phys. Rev. Lett. 58:874 (1987).
D. M. Gass,J. Chem. Phys. 54:1898 (1971).
J. A. Barker and D. E. Henderson,Rev. Mod. Phys. 48:587 (1976).
U. Frisch, B. Hasslacher, and Y. Pomeau,Phys. Rev. Lett. 56:1505 (1986).
J. A. Bird,Molecular Gas Dynamics (Clarendon Press, Oxford, 1976).
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Mareschal, M., Kestemont, E. Order and fluctuations in nonequilibrium molecular dynamics simulations of two-dimensional fluids. J Stat Phys 48, 1187–1201 (1987). https://doi.org/10.1007/BF01009540
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DOI: https://doi.org/10.1007/BF01009540