Fluctuations in Relativistic Causal Hydrodynamics

Understand

Formalism to calculate the hydrodynamic fluctuations by applying the Onsager theory to the relativistic Navier-Stokes equation is already known.

• In this work, we calculate hydrodynamic-fluctuations within the framework of the second order hydrodynamics of M\"{u}ller, Israel and Stewart and its generalization to the third order.
• We have also calculated the fluctuations for several other causal hydrodynamical equations.
• We show that the form for the Onsager-coefficients and form of the correlation-functions remains same as those obtained by the relativistic Navier-Stokes equation and it does not depend on any specific model of hydrodynamics.