Transport Properties of a Piecewise Linear Transformation and Deterministic Levy Flights(Condensed Matter and Statistical Physics)

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概要

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• The transport properties of a 1-dimensional piecewise linear dynamical system are investigated through the spectrum of its Frobenius-Perron operator. For a class of initial densities, eigenvalues and eigenfunctions of the Frobenius-Perron operator are obtained explicitly. It is also found that in the long length wave limit, this system exhibits normal diffusion and super diffusion called Levy flight. The diffusion constant and stable index are derived from the eigenvalues.

• 理論物理学刊行会の論文
• 2006-01-25

著者

• MIYAGUCHI Tomoshige

  Department of Applied Physics, Faculty of Science and Engineering, Waseda University

• Miyaguchi Tomoshige

  Department Of Applied Physics Faculty Of Science And Engineering Waseda University

関連論文

• Slow Decay of Correlations in Non-hyperbolic Dynamical Systems(Perspectives of Nonequilibrium Statistical Physics-The Memory of Professor Shuichi Tasaki-)
• Anomalous Diffusion in a Hamiltonian System
• Transport Properties of a Piecewise Linear Transformation and Deterministic Levy Flights(Condensed Matter and Statistical Physics)
• Dynamical Systems That Produce the Levy Flights
• Scaling and Log-Periodicity in Hamiltonian Systems
• Scaling and Log-Periodicity in Hamiltonian Systems
• Anomalous Diffusion in a Hamiltonian System

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