Metastable states in the Morse–Rayleigh chain

K. S. Sergeev ; A. P. Chetverikov

Russian journal of nonlinear dynamics, Tome 12 (2016) no. 3, pp. 341-353.

Résumé

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.

Détail

Mots-clés : active particles, solitons, ensembles.
Keywords: collective dynamics

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