Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP06(2012)102
Keywords
Thermal Field Theory; Gauge-gravity correspondence; Conformal and W Symmetry
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Funding
- Global COE program The Next Generation of Physics, Spun from Universality and Emergence from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan
- Japan Society for the Promotion of Science (JSPS) [21.1105]
- MEXT [23540304]
- Grants-in-Aid for Scientific Research [23540304] Funding Source: KAKEN
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We present a generally covariant formulation of conformal higher-order viscoelastic fluid mechanics with strain allowed to take arbitrarily large values. We give a general prescription to determine the dynamics of a relativistic viscoelastic fluid in a way consistent with the hypothesis of local thermodynamic equilibrium and the second law of thermodynamics. We then elaborately study the transient time scales at which the strain almost relaxes and becomes proportional to the gradients of velocity. We particularly show that a conformal second-order fluid with all possible parameters in the constitutive equations can be obtained without breaking the hypothesis of local thermodynamic equilibrium, if the conformal fluid is defined as the long time limit of a conformal second-order viscoelastic system. We also discuss how local thermodynamic equilibrium could be understood in the context of the fluid/gravity correspondence.
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