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Dynamical properties for a mixed Fermi accelerator model

Authors
Journal
Physica A Statistical Mechanics and its Applications
0378-4371
Publisher
Elsevier
Publication Date
Volume
392
Issue
19
Identifiers
DOI: 10.1016/j.physa.2013.05.027
Keywords
  • Fermi Map
  • Decay Of Energy
  • Manifolds

Abstract

Abstract The behavior of the decay of velocity in a semi-dissipative one-dimensional Fermi accelerator model is considered. Two different kinds of dissipative forces were considered: (i) F∝−v and; (ii) F∝−v2. We prove the decay of velocity is linear for (i) and exponential for (ii). During the decay, the particles move along specific corridors which are constructed by the borders of the stable manifolds of saddle points. These corridors organize themselves in a very complicated way in the phase space leading the basin of attraction of the sinks to be seemingly of fractal type.

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