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Abstract: Using numerical simulations we show that the response to weak perturbations of a variable of Hamiltonian chaotic systems depend on the number of degrees of freedom: When this is small (≈2) the response is not linear, in agreement with the well known objections to the Kubo linear response theory, while, for a larger number of degrees of freedom, the response becomes linear. This is due to the fact that increasing the number of degrees of freedom the shape of the distribution function, projected onto the subspace of the variable of interest, becomes fairly "regular."
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Bianucci, Marco; Mannella, Riccardo & Grigolini, Paolo.Linear Response of Hamiltonian Chaotic Systems as a Function of the Number of Degrees of Freedom,
article,
August 12, 1996;
[College Park, Maryland].
(https://digital.library.unt.edu/ark:/67531/metadc139479/:
accessed April 26, 2024),
University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu;
crediting UNT College of Arts and Sciences.
