This article is cited in 6 papers

Original papers

Metastable states in the Morse–Rayleigh chain

K. S. Sergeev, A. P. Chetverikov

National Research Saratov State University, Astrakhanskaya 83, Saratov, 410012, Russia

Abstract: 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.

UDC: 530.182

MSC: 90B10, 34D20, 37K40, 35Q51

Received: 30.06.2016
Accepted: 19.07.2016

DOI: 10.20537/nd1603004

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