The energy (impulse)transport in the model dissipative systems

Authors: Gerasymov O.I., Spivak A.Ya., Khudyntsev N.N., Klymenkov O.A.

Year: 2008

Issue: 06

Pages: 225-233


The dynamics of signal transmission through the 1D chain of beads with quasielastic contacts has been studied numerically. The influence of initial conditions and structure organization on the nonlinear dispersion has been outlined. We discuss the influence of the internal ordering on the type of possible nonlinear dispersion of a lattice excitations.

Tags: dynamic dissipative systems; dynamic phase transition; energy/impulse transport; granular material


  1. Jaeger H.M., Nagel S.R., Behringer R.P. The physics of granular materials. // Rev.Mod.Phys. – 1996.-68.- P.1259-1272.
  2. Duran J. Sands, powders and grains.-New York: Springer-Verlag, 2000.-200p.
  3. Kadanoff L. Built upon sand: theoretical ideas inspired by granular flows. // Rev.Mod.Phys. –  1999.-71.-P.435-447.
  4. De Gennes P.G. Granular matter: a tentative view. // Rev.Mod.Phys. – 1999.-71,S.- P.374-385.
  5. Герасимов О.І., Вандевалле Н., Співак А.Я., Худинцев М.М., Люмє Г., Дорболло С., Клименков О.А. Стаціонарні стани у 1D системі непружних частинок //Укр.фіз.журн. – 2008.- 53, № 9
  6. Gerasimov O.I., Schram P.P.J.M. Differential equation of state of a model system with a singular measure: application to granular materials in steady states. //Physica A. – 2002. -312.-P.172-180.
  7. Gerasimov O.I., Schram P.P.J.M, Kitahara K. Kinetics of granular segregation. //Ukr.Journ.Phys. – 2003.-48, N8.-P.885-896.
  8. Gerasymov O.I., Khudyntsev N.N., Klymenkov O.A., Spivak A.Ya. The kinetics of processes occurring in granular materials in the field of vibroaccelerations. // Ukr.Journ.Phys. – 2005.-50, №6. -P.624-632.
  9. Gerasymov O.I., Khudyntsev N.N., Klymenkov O.A., Spivak A.Ya. Kinetics of driven granular materials. // Bogolyubov Kyiv Conference: Modern Problems of Mathematics and Theoretical Physics (13-17 September 2004, Kyiv, Ukraine).
  10. Герасимов О.І., Клименков О.А., Співак А.Я. Кінетика гранульованих матеріалів у полі віброприскорювань. //Всеукраїнський з’їзд ”Фізика в Україні”. Тези доповідей. Україна, Одеса, 3-6 жовтня 2005р. – Одеса: Астропринт, 2005.- С.90
  11. Nesterenko V.F. Dynamics of Heterogeneous Materials. Springer Verlag. New York, 2001
  12. Du Y., Li H., Kadanoff L. Breakdown of Hydrodynamics in a One-Dimensional System of Inelastic Particles // Phys.Rev.Lett. – 1995.- 74.-P.1268.
  13. Лэмб Дж. Элементы теории солитонов. – М.: Мир,1984.
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