The second law of thermodynamics and multifractal distribution functions: bin counting, pair correlations, and the Kaplan-Yorke conjecture (Q2508916)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The second law of thermodynamics and multifractal distribution functions: bin counting, pair correlations, and the Kaplan-Yorke conjecture |
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The second law of thermodynamics and multifractal distribution functions: bin counting, pair correlations, and the Kaplan-Yorke conjecture (English)
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20 October 2006
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The paper considers numerical methods for deriving multifractal dimensions for a certain doubly-thermosstatted harmonic oscillator. The experimental data (obtained by the authors) seem to suggest that the Kaplan-Yorke conjecture (for the information dimension) fails in the full four-dimensional phase space. This seems to suggest that there might be no coherent extension of this conjecture to the `projected' fractal dimensions of the oscillator.
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Kaplan-Yorke dimension
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nonlinear dynamics
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harmonic oscillator
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