Numerical implementations of holographic duality via the fluid/gravity correspondence
Name
865478360-MIT.pdf
Description
Full printable version
Size
3.26 MB
Format
Adobe PDF
Checksum (MD5)
a22e38601fb1be3f55f0781c53b759da
Author(s)
Benjamin, Nathan S
Advisor(s)
Allan W. Adams.
Date Issued
2013
Publisher
Massachusetts Institute of Technology
Abstract
The fluid/gravity correspondence describes an map from relativistic fluid dynamics to general relativity in an anti de Sitter (AdS) background in one more dimension. This is a specific example of a more general principle known as holographic duality, in which a quantum field theory (QFT) is dual to a gravitational theory with the QFT defined on the boundary. Since we can regard hydrodynamics as a low-energy description of many QFTs, the fluid/gravity correspondence lets us probe holographic duality for QFTs at low energy. In this thesis, we will discuss holographic duality, hydrodynamic theory and turbulence, numerical implementations of hydrodynamics, black branes in AdS, the fluid/gravity correspondence, and numerically testing the fluid/gravity correspondence.
Description
Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2013.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 65-66).
Subjects
Physics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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copyright. They may be viewed from this source for any purpose, but
reproduction or distribution in any format is prohibited without written
permission. See provided URL for inquiries about permission.
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