PapersNo Access

COHERENT MOTIONS AND CLUSTERS IN A DISSIPATIVE MORSE RING CHAIN

J. DUNKEL

Institute of Physics, Humboldt University, Invalidenstraße 110, D-10115 Berlin, Germany

University of Oxford, Exeter College, OX1 3DP Oxford, UK

Search for more papers by this author

W. EBELING

Institute of Physics, Humboldt University, Invalidenstraße 110, D-10115 Berlin, Germany

Search for more papers by this author

U. ERDMANN

Institute of Physics, Humboldt University, Invalidenstraße 110, D-10115 Berlin, Germany

Search for more papers by this author

, and

V. A. MAKAROV

Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XIII, 1, 28040 Madrid, Spain

Search for more papers by this author

https://doi.org/10.1142/S0218127402005923Cited by:22 (Source: Crossref)

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.

Keywords:

References

H. Bolterauer and M. Opper, Z. Phys. B 42, 155 (1981). Crossref, Google Scholar
C. I. Christov and M. G. Velarde, Physica D 86, 323 (1995). Crossref, Web of Science, Google Scholar
X. L. Chu and M. G. Velarde, Phys. Rev. A 43, 1094 (1991). Crossref, Web of Science, Google Scholar
W. Ebeling, M. Jenssen and Y. M. Romanowsky, Teubner Texte Physik 23 (Teubner, Leipzig, 1989) pp. 7–24. Google Scholar
W. Ebeling and M. Jenssen, Ber. Bunsenges. Phys. Chem. 95, 1356 (1991). Web of Science, Google Scholar
W. Ebeling, F. Schweitzer and B. Tilch, BioSyst. 49, 17 (1999). Crossref, Google Scholar
W. Ebelinget al., J. Stat. Phys. 101, 443 (2000). Crossref, Web of Science, Google Scholar
U. Erdmannet al., Eur. Phys. J. B 15, 105 (2000). Crossref, Web of Science, Google Scholar
R. P. Feynman , Statistical Mechanics ( Benjamin Mass , 1972 ) . Google Scholar
J. Guckenheimer and P. Holmes , Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields 42 ( Springer , 1983 ) . Crossref, Google Scholar
M. Jenssen and W. Ebeling, Physica D 141, 117 (2000). Crossref, Web of Science, Google Scholar
M. Kac, G. E. Uhlenbeck and P. C. Hemmer, J. Math. Phys. 4, 216 (1963). Crossref, Web of Science, Google Scholar
P. Landa , Nonlinear Oscillations and Waves in Dynamical Systems ( Kluwer Academic Publishers , Dordrecht , 1996 ) . Crossref, Google Scholar
V. Makarov, W. Ebeling and M. Velarde, Int. J. Bifurcation and Chaos 10, 1075 (2000), DOI: 10.1142/S0218127400000761. Link, Web of Science, Google Scholar
V. A. Makarovet al., Phys. Rev. E 64, 036601 (2001). Crossref, Web of Science, Google Scholar
J. K. Percus, Studies in Statist. Mech. 13, 1 (1987). Google Scholar
J. W. Rayleigh , The Theory of Sound , 2nd edn. 1 ( Dover , NY , 1945 ) . Google Scholar
F. Schweitzer, W. Ebeling and B. Tilch, Phys. Rev. Lett. 80(23), 5044 (1998). Crossref, Web of Science, Google Scholar
M. Toda , Nonlinear Waves and Solitons ( Kluwer Academic Publishing , Dordrecht , 1983 ) . Google Scholar
M. Toda and N. Saitoh, J. Phys. Soc. Japan 52, 3703 (1983). Crossref, Google Scholar
S. Wiggins , Introduction to Applied Nonlinear Dynamical Systems and Chaos ( Springer , Dordrecht , 1996 ) . Google Scholar