Application of Kolmogorov–Sinai’s Metric Entropy for the Analysis of Mechanical Properties in the Bending Test of Epoxy–Rubber–Glass Composites [PDF]
MaterialsNorbert Abramczyk +2 more
exaly +2 more sources
Kolmogorov-Sinai entropy for dilute gases in equilibrium [PDF]
Physical Review E, 1997 15 pages, 2 figures, submitted to Phys.
van Beijeren, H. +3 more
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Holographic Kolmogorov-Sinai entropy and the quantum Lyapunov spectrum
Journal of High Energy Physics, 2022 In classical chaotic systems the entropy, averaged over initial phase space distributions, follows a universal behavior. While approaching thermal equilibrium it passes through a stage where it grows linearly, while the growth rate, the Kolmogorov-Sinai ...
Georg Maier +2 more
doaj +1 more source
Kolmogorov–Sinai entropy from recurrence times [PDF]
Physics Letters A, 2010 Observing how long a dynamical system takes to return to some state is one of the most simple ways to model and quantify its dynamics from data series. This work proposes two formulas to estimate the KS entropy and a lower bound of it, a sort of Shannon's entropy per unit of time, from the recurrence times of chaotic systems.
Baptista, M. +4 more
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Logical entropy of dynamical systems
Advances in Difference Equations, 2018 The main purpose of the paper is to extend the results of Ellerman (Int. J. Semant. Comput. 7:121–145, 2013) to the case of dynamical systems. We define the logical entropy and conditional logical entropy of finite measurable partitions and derive the ...
Dagmar Markechová +2 more
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ADDITIVITY PROPERTIES OF SOFIC ENTROPY AND MEASURES ON MODEL SPACES
Forum of Mathematics, Sigma, 2016 Sofic entropy is an invariant for probability-preserving actions of sofic groups. It was introduced a few years ago by Lewis Bowen, and shown to extend the classical Kolmogorov–Sinai entropy from the setting of amenable groups.
TIM AUSTIN
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Production and transfer of energy and information in Hamiltonian systems. [PDF]
PLoS ONE, 2014 We present novel results that relate energy and information transfer with sensitivity to initial conditions in chaotic multi-dimensional Hamiltonian systems.
Chris G Antonopoulos +2 more
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Kolmogorov–Sinai entropy and black holes [PDF]
Classical and Quantum Gravity, 2008 It is shown that stringy matter near the event horizon of a Schwarzschild black hole exhibits chaotic behavior (the spreading effect) which can be characterized by the Kolmogorov-Sinai entropy. It is found that the Kolmogorov-Sinai entropy of a spreading string equals to the half of the inverse gravitational radius of the black hole. But the KS entropy
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Entropy production of a closed Hamiltonian system via the detailed fluctuation relation
Physical Review Research, 2021 We revisit the problem of emergent irreversibility in a closed Hamiltonian system in light of the detailed fluctuation relation by invoking an imperfect Loschmidt demon that performs a time-reversal operation with a finite precision.
Yûto Murashita +2 more
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Statistical optimization for passive scalar transport: maximum entropy production versus maximum Kolmogorov–Sinai entropy [PDF]
Nonlinear Processes in Geophysics, 2015 We derive rigorous results on the link between the principle of maximum entropy production and the principle of maximum Kolmogorov–Sinai entropy for a Markov model of the passive scalar diffusion called the Zero Range Process.
M. Mihelich +3 more
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