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On the validity of non-Markov reduced equations of motion in non-equilibrium statistical mechanics

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  • Ronis, David
  • Mukamel, Shaul

Abstract

The usefulness of non-Markov reduced equations of motion (REM) for the description of the time evolution of macrovariables is examined. We show that in general one should be very cautious when using such equations since the results may strongly depend on the addition of more variables into the REM. This is in contrast to the use of non-Markov REM in the calculation of equilibrium correlation functions which is always justified.

Suggested Citation

  • Ronis, David & Mukamel, Shaul, 1982. "On the validity of non-Markov reduced equations of motion in non-equilibrium statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(1), pages 1-17.
    • Handle: RePEc:eee:phsmap:v:112:y:1982:i:1:p:1-17
    DOI: 10.1016/0378-4371(82)90204-7
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    Cited by:

    1. Torner, Ll. & Rubí, J.M. & Díaz-Guilera, A., 1989. "On fluctuations in interfacial fluid systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(2), pages 1018-1032.
    2. Micnas, R. & Chao, K.A. & Robaszkiewicz, S., 1985. "Phase transitions in a disordered extended Hubbard model and in the random field Blume-Capel model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(2), pages 504-536.
    3. Rubí, J.M. & Díaz-Guilera, A. & Torner, Ll., 1987. "Spatial correlations for temperature fluctuations from surface noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(1), pages 220-232.
    4. Al Mukadam, Hasan M. & Uzunov, Dimo I., 1996. "Phase transitions in two sublattice Ising systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 326-348.

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