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Coherent motions and clusters in a dissipative Morse ring chain

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Makarov, Valeri A. and Dunkel, J. and Ebeling, Werner and Erdmann, U (2002) Coherent motions and clusters in a dissipative Morse ring chain. International Journal of Bifurcation and Chaos, 12 (11). pp. 2359-2377. ISSN 0218-1274

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Official URL: http://www.worldscientific.com/doi/pdf/10.1142/S0218127402005923




Abstract

We study a one-dimensional ring chain of length L with N particles interacting via Morse potentials and influenced by dissipative forces (passive and active friction). We show that by negative friction the system can be driven far from the thermodynamic equilibrium states. For over-critical pumping with free energy several types of coherent motions including uniform rotations, optical oscillations and waves emerge in the ring. We also show the existence of a critical particle density n(c) = N/L-c, below that the particles spontaneously organize into clusters which can actively rotate. Additionally, the influence of white noise on the clustering is discussed.


Item Type:Article
Uncontrolled Keywords:Nonlinear friction; Active Brownian particles; Lennard-Jones-like interactions; Cluster formation; Brownian particles; Energy depots; Toda; Excitation; Solitons; Lattice
Subjects:Sciences > Mathematics > Differential equations
ID Code:16910
Deposited On:15 Nov 2012 09:41
Last Modified:12 Dec 2018 15:07

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