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Nonlinear Sciences > Chaotic Dynamics
Title: Thermodynamics of chaotic relaxation processes
(Submitted on 14 Apr 2024)
Abstract: The established thermodynamic formalism of chaotic dynamics,valid at statistical equilibrium, is here generalized to systems out of equilibrium, that have yet to relax to a steady state. A relation between information, escape rate, and the phase-space average of an integrated observable (e.g. Lyapunov exponent, diffusion coefficient) is obtained for finite time. Most notably, the thermodynamic treatment may predict the finite-time distributions of any integrated observable from the leading and subleading eigenfunctions of the Perron-Frobenius/Koopman transfer operator. Examples of that equivalence are shown, and the theory is tested numerically in three paradigms of chaos.
Submission history
From: Domenico Lippolis [view email][v1] Sun, 14 Apr 2024 02:48:08 GMT (1415kb,D)
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