Abstract
A generalization of the random fluid hydrodynamic fluctuation theorydue to Landau and Lifshitz is applied to describe cosmologicalfluctuations in systems with radiation and scalar fields. The viscouspressures, parametrized in terms of the bulk and shear viscositycoefficients, and the respective random fluctuations in the radiationfluid are combined with the stochastic and dissipative scalarevolution equation. This results in a complete set of equationsdescribing the perturbations in both scalar and radiationfluids. These derived equations are then studied, as an example, inthe context of warm inflation. Similar treatments can be done forother cosmological early universe scenarios involving thermal orstatistical fluctuations.
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