Title: Large N classical dynamics of holographic matrix models
Authors: Asplund, Curtis * ×
Berenstein, David *
Dzienkowski, Eric * #
Issue Date: 2013
Publisher: American Physical Society
Series Title: Physical Review D, Particles, Fields, Gravitation and Cosmology vol:87 issue:8
Article number: 084044
Abstract: Using a numerical simulation of the classical dynamics of the plane-wave and flat space matrix models of M-theory, we study the thermalization, equilibrium thermodynamics and fluctuations of these models as we vary the temperature and the size of the matrices, N. We present our numerical implementation in detail and several checks of its precision and consistency. We show evidence for thermalization by matching the time-averaged distributions of the matrix eigenvalues to the distributions of the appropriate Traceless Gaussian Unitary Ensemble of random matrices. We study the autocorrelations and power spectra for various fluctuating observables and observe evidence of the expected chaotic dynamics as well as a hydrodynamic type limit at large N, including near-equilibrium dissipation processes. These configurations are holographically dual to black holes in the dual string theory or M-theory and we discuss how our results could be related to the corresponding supergravity black hole solutions.
ISSN: 1550-7998
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Theoretical Physics Section
* (joint) first author
× corresponding author
# (joint) last author

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