Metastable states in the Morse–Rayleigh chain

    Received 30 June 2016; accepted 19 July 2016

    2016, Vol. 12, No. 3, pp.  341-353

    Author(s): Sergeev K. S., Chetverikov A.

    The dynamics of a dense ensemble of interacting active Brownian particles is studied. Nonlinear negative friction is described in the sense of Rayleigh; particles are interconnected via Morse potential forces. Such a chain can be considered as an ensemble of interconnected Rayleigh oscillators.
    The stationary modes (attractors) of chains with periodic boundary conditions looks like cnoidal waves. They are characterized by a uniform distribution of the density maxima of particles in the chain. However, when the chain starts with random initial conditions, a state of nonuniformly distribution of density maxima arises first. This state is metastable and the transition to a stable mode corresponds to a long transition process.
    Characteristics of metastable states, regularities and probability of their occurrence and their lifetimes are studied by methods of computer simulation.
    Keywords: active particles, solitons, collective dynamics, ensembles
    Citation: Sergeev K. S., Chetverikov A., Metastable states in the Morse–Rayleigh chain, Rus. J. Nonlin. Dyn., 2016, Vol. 12, No. 3, pp.  341-353

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