Fractional kinetics: from pseudochaotic dynamics to Maxwell’s Demon

In Hamiltonian dynamics chaotic trajectories can be characterized by a non-zero Lyapunov exponent. In general case of random dynamics the Lyapunov exponent can be close to zero because of the stickiness, or simply zero, as in the case of pseudochaos. Kinetic description of such situations is based o...

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Bibliographic Details
Published inPhysica. D Vol. 193; no. 1; pp. 128 - 147
Main Authors Zaslavsky, G.M., Edelman, M.A.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 15.06.2004
Elsevier
Subjects
Billiards
Chaos
Exact sciences and technology
Kinetics
Maxwell’s Demon
Physics
Pseudochaos
47.52.+j
Chaos
Billiards
Pseudochaos
Kinetics
05.45.+b
Maxwell’s Demon
Ergodic theorem
Fluctuations
Mixing
Dynamic properties
Trajectories
Non linear phenomenon
Space-time
Dynamics
Hamiltonians
Maxwell's Demon
Lyapunov exponent
Models
47.52.+j Chaos
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Summary:In Hamiltonian dynamics chaotic trajectories can be characterized by a non-zero Lyapunov exponent. In general case of random dynamics the Lyapunov exponent can be close to zero because of the stickiness, or simply zero, as in the case of pseudochaos. Kinetic description of such situations is based on scaling properties of the dynamics in both space and time. It is shown for different models that the ergodic theorem cannot be applied for the observed data, and that weak mixing leads to unusual macroscopic behavior. Such phenomenon as Maxwell’s Demon obtains a natural realization as a persistent fluctuation that does not decay in an exponential way as in the kinetics of the Gaussian type.
ISSN:0167-2789
1872-8022
DOI:10.1016/j.physd.2004.01.014