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On the dynamics of a stochastic nonlinear mean-field model

Author

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  • Brey, J.J.
  • Casado, J.M.
  • Morillo, M.

Abstract

The dynamics of a model introduced by Kometani and Shimizu is studied in the limit of the number of particles going to infinity. In addition to the cumulant expansion already considered by Desai and Zwanzig, we study the low diffusion constant approximation. Both methods present difficulties when the initial condition corresponds to a bistable situation. For this case, we apply Suzuki's ideas and we get a correct description of the evolution, at least at a qualitative level.

Suggested Citation

  • Brey, J.J. & Casado, J.M. & Morillo, M., 1984. "On the dynamics of a stochastic nonlinear mean-field model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 128(3), pages 497-508.
    • Handle: RePEc:eee:phsmap:v:128:y:1984:i:3:p:497-508
    DOI: 10.1016/0378-4371(84)90188-2
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    References listed on IDEAS

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    1. Rodríguez, R.F. & Van Kampen, N.G., 1976. "Systematic treatment of fluctuations in a nonlinear oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(2), pages 347-362.
    2. Shimizu, T., 1975. "Nonlinear-closed equations for the first and the second moments of macroscopic variables," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 83(3), pages 486-504.
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    Cited by:

    1. Gowthaman, I. & Singh, Uday & Chandrasekar, V.K. & Senthilkumar, D.V., 2021. "Dynamical robustness in a heterogeneous network of globally coupled nonlinear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).

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