Geodesic
Metastable states in the Morse–Rayleigh chain
Russian journal of nonlinear dynamics, Tome 12 (2016) no. 3, pp. 341-353

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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.
Mots-clés : active particles, solitons, ensembles.
Keywords: collective dynamics 
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     author = {K. S. Sergeev and A. P. Chetverikov},
     title = {Metastable states in the {Morse{\textendash}Rayleigh} chain},
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     pages = {341--353},
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     url = {http://geodesic.mathdoc.fr/item/ND_2016_12_3_a3/}
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K. S. Sergeev; A. P. Chetverikov. Metastable states in the Morse–Rayleigh chain. Russian journal of nonlinear dynamics, Tome 12 (2016) no. 3, pp. 341-353. http://geodesic.mathdoc.fr/item/ND_2016_12_3_a3/