Results 31 to 40 of about 4,572 (182)
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
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
The Algorithmic Information Content for randomly perturbed systems [PDF]
, 2003 In this paper we prove estimates on the behaviour of the Kolmogorov-Sinai entropy relative to a partition for randomly perturbed dynamical systems. Our estimates use the entropy for the unperturbed system and are obtained using the notion of Algorithmic ...
Bonanno, Claudio
core +1 more source
Synchronization and information transmission in networks
ESAIM: Proceedings and Surveys, 2014 The amount of information produced by a network may be measured by the mutual information rate. This measure, the Kolmogorov-Sinai entropy and the synchronization interval are expressed in terms of the transversal Lyapunov exponents ...
Caneco Acilina, Leonel Rocha J.
doaj +1 more source
Towards the Equation of State of Classical SU(2) Lattice Gauge Theory [PDF]
, 2001 We determine numerically the full complex Lyapunov spectrum of SU(2) Yang-Mills fields on a 3-dimensional lattice from the classical chaotic dynamics. The equation of state, S(E), is determined from the Kolmogorov-Sinai entropy extrapolated to the large ...
B. Müller +13 more
core +2 more sources
Kolmogorov-Sinai entropy of many-body Hamiltonian systems
Physical Review E, 2011 The Kolmogorov-Sinai (KS) entropy is a central measure of complexity and chaos. Its calculation for many-body systems is an interesting and important challenge. In this paper, the evaluation is formulated by considering N-dimensional symplectic maps and deriving a transfer matrix formalism for the stability problem.
Arul, Lakshminarayan, Steven, Tomsovic
openaire +3 more sources
Logical entropy of quantum dynamical systems
Open Physics, 2016 This paper introduces the concepts of logical entropy and conditional logical entropy of hnite partitions on a quantum logic. Some of their ergodic properties are presented.
Ebrahimzadeh Abolfazl
doaj +1 more source
Is Turbulence a State of Maximum Energy Dissipation?
Entropy, 2017 Turbulent flows are known to enhance turbulent transport. It has then even been suggested that turbulence is a state of maximum energy dissipation.
Martin Mihelich +3 more
doaj +1 more source