Microscopic formula for transport coefficients of causal hydrodynamics

Abstract

The Green-Kubo-Nakano formula should be modified in relativistic hydrodynamics because of the problem of acausality and the breaking of sum rules. In this work, we propose a formula to calculate the transport coefficients of causal hydrodynamics based on the projection operator method. As concrete examples, we derive the expressions for the diffusion coefficient, the shear viscosity coefficient, and corresponding relaxation times.

4 pages, title was modified, final version published in Phys. Rev. E

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• Second Order Dissipative Fluid Dynamics for Ultra-Relativistic Nuclear Collisions
• Dissipative Hydrodynamics and Heavy Ion Collisions
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• Relativistic diffusion processes and random walk models
• Incorporating Memory Effects in Phase Separation Processes
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Cited by in corpus (21)

• Relativistic Brownian Motion
• Stability and Causality in relativistic dissipative hydrodynamics
• Origin of the Relaxation Time in Dissipative Fluid Dynamics
• Entropy production in high-energy heavy-ion collisions and the correlation of shear viscosity and thermalization time
• Non-perturbative rheological behavior of a far-from-equilibrium expanding plasma
• Transport Coefficients of Non-Newtonian Fluid and Causal Dissipative Hydrodynamics
• Femtoscopy in Relativistic Heavy Ion Collisions and its Relation to Bulk Properties of QCD Matter
• Bulk Viscosity and Relaxation Time of Causal Dissipative Relativistic Fluid Dynamics
• Shear viscosity coefficient and relaxation time of causal dissipative hydrodynamics in QCD
• Shock propagation and stability in causal dissipative hydrodynamics
• Jerky active matter: a phase field crystal model with translational and orientational memory
• Extensivity of Irreversible Current and Stability in Causal Dissipative Hydrodynamics
• Formulating Viscous Hydrodynamics for Large Velocity Gradients
• Consistency of field-theoretical and kinetic calculations of viscous transport coefficients for a relativistic fluid
• Mori-Zwanzig formalism for general relativity: a new approach to the averaging problem
• Shear viscosity, Bulk viscosity and Relaxation Times of Causal Dissipative Relativistic Fluid-Dynamics at Finite Temperature and Chemical Potential
• Aspects of causal viscous hydrodynamics
• Exact Relativistic Ideal Hydrodynamical Solutions in (1+3)D with Longitudinal and Transverse Flows
• Viscous control of minimum uncertainty state in hydrodynamics
• Viscosity of non equilibrium hot $\&$ dense QCD drop formed at LHC
• Memory Effects and Transport Coefficients for Non-Newtonian Fluids