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Non-Newtonian Properties of Relativistic Fluids

Authors
  • Koide, Tomoi
Type
Published Article
Publication Date
Sep 23, 2010
Submission Date
Sep 23, 2010
Identifiers
DOI: 10.1063/1.3533203
Source
arXiv
License
Yellow
External links

Abstract

We show that relativistic fluids behave as non-Newtonian fluids. First, we discuss the problem of acausal propagation in the diffusion equation and introduce the modified Maxwell-Cattaneo-Vernotte (MCV) equation. By using the modified MCV equation, we obtain the causal dissipative relativistic (CDR) fluid dynamics, where unphysical propagation with infinite velocity does not exist. We further show that the problems of the violation of causality and instability are intimately related, and the relativistic Navier-Stokes equation is inadequate as the theory of relativistic fluids. Finally, the new microscopic formula to calculate the transport coefficients of the CDR fluid dynamics is discussed. The result of the microscopic formula is consistent with that of the Boltzmann equation, i.e., Grad's moment method.

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