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This article is cited in 5 scientific papers (total in 5 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.
Received: 30.06.2016 Accepted: 19.07.2016
Citation:
K. S. Sergeev, A. P. Chetverikov, “Metastable states in the Morse–Rayleigh chain”, Nelin. Dinam., 12:3 (2016), 341–353
Linking options:
https://www.mathnet.ru/eng/nd531 https://www.mathnet.ru/eng/nd/v12/i3/p341
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Abstract page: | 234 | Full-text PDF : | 59 | References: | 25 |
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