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Noise influence on dissipative solitons in a chain of active particles

Author

Listed:
  • Chetverikov, A.P.
  • Sergeev, K.S.
  • del Rio, Ezequiel

Abstract

The dynamics of a chain of interacting active particles of Rayleigh-type is studied in presence of noise. Particles are interconnected via Morse potential forces. In the noiseless scenario, the steady-state modes (attractors) of the chain with periodic boundary conditions look like cnoidal waves with uniform distribution of the particles density maxima along the chain. The distribution of modes probabilities shifts from one with prevailing cnoidal waves to one with prevailing optical mode under noise influence. We propose an analytical approach modelling the noise effect in good agreement with the numerical simulation.

Suggested Citation

  • Chetverikov, A.P. & Sergeev, K.S. & del Rio, Ezequiel, 2019. "Noise influence on dissipative solitons in a chain of active particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 147-155.
    • Handle: RePEc:eee:phsmap:v:513:y:2019:i:c:p:147-155
    DOI: 10.1016/j.physa.2018.08.163
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    References listed on IDEAS

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    1. U. Erdmann & W. Ebeling & L. Schimansky-Geier & F. Schweitzer, 2000. "Brownian particles far from equilibrium," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 15(1), pages 105-113, May.
    2. A. P. Chetverikov & W. Ebeling & M. G. Velarde, 2006. "Nonlinear excitations and electric transport in dissipative Morse-Toda lattices," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 51(1), pages 87-99, May.
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