Stochastic gravity and turbulence

Waeber, Sebastian; Yarom, Amos

doi:10.1007/jhep12(2021)185

Cited by 6 publications

(2 citation statements)

References 25 publications

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“…Our ensemble average does yield a constant growth rate for the entropy density s, while individual samples do not exhibit this property of the entropy density (see figure 4). Nonetheless, in future works it might be interesting to further test our numerical results, by computing (if necessary smaller) ensemble averages of more complicated cases with a similar, albeit non-stochastic version of the calculations and numerics described in [26].…”

Section: Thermalization and Holographic Isotropizationmentioning

confidence: 99%

Holographic Kolmogorov-Sinai entropy and the quantum Lyapunov spectrum

Maier

Schäfer

Waeber

2022

J. High Energ. Phys.

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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 entropy (rate), is given by the sum over all positive Lyapunov exponents. A natural question is whether a similar relation is valid for quantum systems. We argue that the Maldacena-Shenker-Stanford bound on quantum Lyapunov exponents implies that the upper bound on the growth rate of the entropy, averaged over states in Hilbert space that evolve towards a thermal state with temperature T, should be given by πT times the thermal state’s von Neumann entropy. Strongly coupled, large N theories with black hole duals should saturate the bound. To test this we study a large number of isotropization processes of random, spatially homogeneous, far from equilibrium initial states in large N, $$ \mathcal{N} $$ N = 4 Super Yang Mills theory at strong coupling and compute the ensemble averaged growth rate of the dual black hole’s apparent horizon area. We find both an analogous behavior as in classical chaotic systems and numerical evidence that the conjectured bound on averaged entropy growth is saturated granted that the Lyapunov exponents are degenerate and given by λi = ±2πT. This fits to the behavior of classical systems with plus/minus symmetric Lyapunov spectra, a symmetry which implies the validity of Liouville’s theorem.

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Section: Thermalization and Holographic Isotropizationmentioning

confidence: 99%

Holographic Kolmogorov-Sinai entropy and the quantum Lyapunov spectrum

Maier

Schäfer

Waeber

2022

J. High Energ. Phys.

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“…The gravitational constant is therefore Gaussian distributed due to the central limit theorem. Several approaches to stochastic gravity have been addressed in literature proving the importance of stochasticity in the geometry of spacetime [5,6].…”

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confidence: 99%

Oscillating gravity, non-singularity and mass quantization from Moffat stochastic gravity arguments

El-Nabulsi¹,

Anukool²

2022

Commun. Theor. Phys.

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In Moffat stochastic gravity arguments, the spacetime geometry is assumed to be a fluctuating background and the gravitational constant is a control parameter due to the presence of a time-dependent Gaussian white noise ξ ( t ) . In such a surrounding, both the singularities of gravitational collapse and the Big Bang have a zero probability of occurring. In this communication, we generalize Moffat’s arguments by adding a random temporal tiny variable for a smoothing purpose and creating a white Gaussian noise process with a short correlation time. The Universe accordingly is found to be non-singular and is dominated by an oscillating gravity. A connection with a quantum oscillator was established and analyzed. Surprisingly, the Hubble mass which emerges in extended supergravity may be quantized.

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Multiply charged magnetic black branes

Meiring,

Shyovitz,

Waeber

et al. 2024

J. High Energ. Phys.

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We discuss analytic solutions describing magnetically charged black branes in d dimensional AdS space. Focusing on d = 5, we study the response of the brane to an external short lived electric field. We argue that when the theory possesses an ’t Hooft anomaly then at sufficiently low temperature a long lived oscillatory current will be observed long after the electric field has been turned off. We demonstrate this “anomalous resonance” effect via a numerical study.

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Stochastic gravity and turbulence

Cited by 6 publications

References 25 publications

Holographic Kolmogorov-Sinai entropy and the quantum Lyapunov spectrum

Holographic Kolmogorov-Sinai entropy and the quantum Lyapunov spectrum

Oscillating gravity, non-singularity and mass quantization from Moffat stochastic gravity arguments

Multiply charged magnetic black branes

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