Thermodynamic Approach to Warm Inflation

We study the thermodynamic behavior of a decaying scalar field coupled to a relativistic simple fluid. It is shown that if the decay products are represented by a thermalized bath, its temperature evolution law requires naturally a new phenomenological coupling term. This ``energy loss’’ term is the product between the enthalpy density of the thermalized bath and the decay width of the scalar field. We also argue that if the field $\varphi$ decays “adiabatically” some thermodynamic properties of the fluid are preserved. In particular, for a field decaying into photons, the radiation entropy production rate is independent of the specific scalar field potential $V(\varphi )$, and the energy density $\rho$ and average number density of photons n scale as $\rho \sim T^{4}$and$n \sim T^{3}$. To illustrate these results, a new warm inflationary scenario with no slow roll is proposed.