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Transport as a dynamical property of a simple map

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
168
Issue
1
Identifiers
DOI: 10.1016/0375-9601(92)90322-d
Disciplines
  • Physics

Abstract

Abstract We study a simple chaotic system given by a map which displays diffusion. The decaying eigenstates of the Frobenius-Perron operator of the map are constructed. These eigenstates are associated with the Ruelle resonances. The eigenstate associated with diffusion is considered in particular. The result implies a deep connection between the thermodynamical properties of a system and its underlying exact dynamics.

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