Evidence of a nondiffusive transport in a monodisperse screened Coulomb system by a molecular-dynamics simulation

Michael Wild; Ras B. Pandey

doi:10.1103/PhysRevE.47.3246

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Evidence of a nondiffusive transport in a monodisperse screened Coulomb system by a molecular-dynamics simulation

Michael Wild

Ras B. Pandey

Program in Scientific Computing, University of Southern Mississippi, Hattiesburg, Mississippi 39406-5046

Program in Scientific Computing and Department of Physics and Astronomy, University of Southern Mississippi, Hattiesburg, Mississippi 39406-5046

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Phys. Rev. E 47, 3246 – Published 1 May, 1993

DOI: https://doi.org/10.1103/PhysRevE.47.3246

Abstract

A molecular-dynamics simulation is carried out for particles (tracers) interacting with a screened Coulomb potential in three dimensions. A phase transition is observed from a liquid to an fcc solid on reducing the temperature at a fixed density, consistent with previous studies. In the liquid phase, the variation of the rms displacement $R_{tr}$ of the charged particles with time seems to depend on the density and the temperature. In the short-time regime, the effective exponent k for the subdiffusive power-law behavior, i.e., $R_{tr}$ ∼ $t^{k}$ , decreases on increasing the density and lowering the temperature. A crossover from subdiffusive to a diffusive behavior is observed for a wide density regime in the liquid phase. At high temperatures and large densities, a single power law does not seem to describe the variation of $R_{tr}$ with t.

References (17)

J. W. Haus and K. W. Kehr, Phys. Rep. 150, 263 (1987); S. Havlin and D. Ben-Avraham, Adv. Phys. 36, 695 (1987).
R. B. Pandey, Phys. Rev. A 42, 3363 (1990).
Y. Gefen and J. W. Hallye, in Kinetics of Aggregation and Gelation, edited by F. Family and D. P. Landau (North-Holland, Amsterdam, 1984).
P. Maass, J. Petersen, A. Bunde, W. Dietrich and H. E. Roman, Phys. Rev. Lett. 66, 52 (1991); P. Maass, A. Bunde and M. D. Ingram, ibid. 68, 3064 (1992); R. B. Pandey, Physica A 191, 438 (1992).
K. Kremer, G. S. Grest and M. O. Robbins, J. Phys. A 20, L181 (1987).
F. Ould-Kaddour and J-L. Barrat, Phys. Rev. A 45, 2308 (1992).
Physics of Complex and Supermolecular Fluids, edited by S. A. Safran and N. A. Clark (Wiley, New York, 1987).
Application of Monte Carlo Method in Statistical Physics, edited by K. Binder (Springer-Verlag, Berlin, 1987).
M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon, Oxford, 1989); D. W. Heermann, Computer Simulation Methods in Theoretical Physics (Springer-Verlag, Berlin, 1990).
D. Levesque, J. J. Weis, and J. P. Hansen, in Application of Monte Carlo Method in Statistical Physics, edited by K. Binder (Ref. [8]), p. 37.
M. O. Robbins, K. Kremer and G. S. Grest, J. Chem. Phys. 88, 3286 (1988).
E. J. Meijer and D. Frenkel, J. Chem. Phys. 94, 2269 (1991).
B. B. Laird and A. D. J. Haymet, Mol. Phys. 75, 71 (1992).
R. O. Rosenberg and D. Thirumalai, Phys. Rev. A 33, 4473 (1986); ibid. 36, 5690 (1987).
S. Rangnathan and K. N. Pathak, Phys. Rev. A 45, 5789 (1992); S. Ranganathan, G. S. Dubey and K. N. Pathak, ibid. 45, 5793 (1992).
R. B. Pandey, Physica A 187, 77 (1992).
D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Taylor and Francis, London, 1992).

[c1] J. W. Haus and K. W. Kehr, Phys. Rep. 150, 263 (1987); S. Havlin and D. Ben-Avraham, Adv. Phys. 36, 695 (1987).

[c2] R. B. Pandey, Phys. Rev. A 42, 3363 (1990).

[c3] Y. Gefen and J. W. Hallye, in Kinetics of Aggregation and Gelation, edited by F. Family and D. P. Landau (North-Holland, Amsterdam, 1984).

[c4] P. Maass, J. Petersen, A. Bunde, W. Dietrich and H. E. Roman, Phys. Rev. Lett. 66, 52 (1991); P. Maass, A. Bunde and M. D. Ingram, ibid. 68, 3064 (1992); R. B. Pandey, Physica A 191, 438 (1992).

[c5] K. Kremer, G. S. Grest and M. O. Robbins, J. Phys. A 20, L181 (1987).

[c6] F. Ould-Kaddour and J-L. Barrat, Phys. Rev. A 45, 2308 (1992).

[c7] Physics of Complex and Supermolecular Fluids, edited by S. A. Safran and N. A. Clark (Wiley, New York, 1987).

[c8] Application of Monte Carlo Method in Statistical Physics, edited by K. Binder (Springer-Verlag, Berlin, 1987).

[c9] M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon, Oxford, 1989); D. W. Heermann, Computer Simulation Methods in Theoretical Physics (Springer-Verlag, Berlin, 1990).

[c10] D. Levesque, J. J. Weis, and J. P. Hansen, in Application of Monte Carlo Method in Statistical Physics, edited by K. Binder (Ref. [8]), p. 37.

[c11] M. O. Robbins, K. Kremer and G. S. Grest, J. Chem. Phys. 88, 3286 (1988).

[c12] E. J. Meijer and D. Frenkel, J. Chem. Phys. 94, 2269 (1991).

[c13] B. B. Laird and A. D. J. Haymet, Mol. Phys. 75, 71 (1992).

[c14] R. O. Rosenberg and D. Thirumalai, Phys. Rev. A 33, 4473 (1986); ibid. 36, 5690 (1987).

[c15] S. Rangnathan and K. N. Pathak, Phys. Rev. A 45, 5789 (1992); S. Ranganathan, G. S. Dubey and K. N. Pathak, ibid. 45, 5793 (1992).

[c16] R. B. Pandey, Physica A 187, 77 (1992).

[c17] D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Taylor and Francis, London, 1992).

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Evidence of a nondiffusive transport in a monodisperse screened Coulomb system by a molecular-dynamics simulation

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