On the phase-lag effect on the nonequilibrium entropy production

In this work, the effect of the phase lag in heat flux, under the effect of the hyperbolic heat conduction model, on the nonequilibrium entropy production is investigated. It is shown that the entropy production cannot be described using the classical form of the equilibrium entropy production where using this form Lads to a violation of the second late of thermodynamics. Also, it is shown that in most practical applications, the difference between equilibrium and nonequilibrium temperature in the hyperbolic heat conduction model may be neglected. The effect of the phase lag ill heat flux on the spacial and time variation in nonequilibrium entropy is studied.