Biblioteca de la Universidad Complutense de Madrid

Coherent motions and clusters in a dissipative Morse ring chain


Makarov, Valeri A. y Dunkel, J. y Ebeling, Werner y 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

[img] PDF
Restringido a Sólo personal autorizado del repositorio hasta 31 Diciembre 2020.


URL Oficial:


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.

Tipo de documento:Artículo
Palabras clave:Nonlinear friction; Active Brownian particles; Lennard-Jones-like interactions; Cluster formation; Brownian particles; Energy depots; Toda; Excitation; Solitons; Lattice
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:16910

Bolterauer, H. & Opper, M. [1981] \Solitons in the statistical mechanics of the Toda lattice," Z. Phys. B42, 155-161.

Christov, C. I. & Velarde, M. G. [1995] \Dissipative solitons," Physica D86, 323-347.

Chu, X. L. & Velarde, M. G. [1991] \Korteweg-de Vries soliton excitation in Benard-Marangoni convection," Phys. Rev. A43, 1094-1096.

Ebeling, W., Jenssen, M. & Romanowsky, Y. M. [1989] \Irreversible processes and selforganization," Teubner Texte Physik, Vol. 23 (Teubner Leipzig), pp. 7-24.

Ebeling, W. & Jenssen, M. [1991] \Soliton-assisted activation processes," Ber. Bunsenges. Phys. Chem. 95, 1356-1362.

Ebeling, W., Schweitzer, F. & Tilch, B. [1999] \Active Brownian particles with energy depots modelling animal mobility," BioSyst. 49, 17-29.

Ebeling, W., Erdmann, U., Dunkel, J. & Jenssen, M. [2000] \Nonlinear dynamics and fluctuations of dissipative Toda chains," J. Stat. Phys. 101, 443-457.

Erdmann, U., Ebeling, W., Schimansky-Geier, L. & Schweitzer, F. [2000] \Brownian particles far from equilibrium," Eur. Phys. J. B15, 105-113.

Feynman, R. P. [1972] Statistical Mechanics (Benjamin Mass.).

Guckenheimer, J. & Holmes, P. [1983] Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Vol. 42 (Springer).

Jenssen,M. & Ebeling,W. [2000] \Distribution functions and excitation spectra of Toda systems at intermediate temperatures," Physica D141, 117-132.

Kac, M., Uhlenbeck, G. E. & Hemmer, P. C. [1963] \On the van der Waals theory of the vapor-liquid equilibrium," J. Math. Phys. 4, 216-228.

Landa, P. [1996] Nonlinear Oscillations and Waves in Dynamical Systems (Kluwer Academic Publishers, Dordrecht).

Makarov, V., Ebeling, W. & Velarde, M. [2000] \Solitonlike waves on dissipative Toda lattices," Int. J. Bifurcation and Chaos 10, 1075-1089.

Makarov, V. A., del Rio, E., Ebeling, W. & Velarde, M. G. [2001] \Dissipative Toda-Rayleigh lattice and its oscillatory modes," Phys. Rev. E64, 036601.

Percus, J. K. [1987] \Exactly solvable models of classical many-body systems," Studies in Statist. Mech. 13, 1-158.

Rayleigh, J. W. [1945] The Theory of Sound, Vol. 1, 2nd edition (Dover, NY).

Schweitzer, F., Ebeling, W. & Tilch, B. [1998] \Complex motion of Brownian particles with energy depots," Phys. Rev. Lett. 80(23), 5044-5047.

Toda, M. [1983] Nonlinear Waves and Solitons (Kluwer Academic Publishing, Dordrecht).

Toda, M. & Saitoh, N. [1983] \The classical specific heat of the exponential lattice," J. Phys. Soc. Japan 52, 3703-3705.

Wiggins, S. [1996] Introduction to Applied Nonlinear Dynamical Systems and Chaos (Springer, Dordrecht).

Depositado:15 Nov 2012 09:41
Última Modificación:27 Jun 2016 16:15

Sólo personal del repositorio: página de control del artículo