Large N classical dynamics of holographic matrix models
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.
Cite
@article{arxiv.1211.3425,
title = {Large N classical dynamics of holographic matrix models},
author = {Curtis T. Asplund and David Berenstein and Eric Dzienkowski},
journal= {arXiv preprint arXiv:1211.3425},
year = {2013}
}
Comments
30 pages, 15 figures