Dynamical properties for a mixed Fermi accelerator model

Danila F. Tavares, A.D. Araujo, Edson D. Leonel and R.N. Costa Filho

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 19, 4231-4241

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.

Keywords: Fermi map; Decay of energy; Manifolds (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:19:p:4231-4241

DOI: 10.1016/j.physa.2013.05.027

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