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We study theoretically the electronic entropy and specific heat in diffusivesuperconductor-normal metal-superconductor (SNS) Josephson junctions. Inparticular, we consider the influence of non-idealities occurring in an actualexperiment, such as the presence of barriers at the NS interfaces, thespin-flip and inelastic scattering in the N region and quasiparticle subgapstates in the superconductors. We find that spin-flip and inelastic scatteringdo not have, for typical parameters values, a large effect. On the contrary,the presence of barriers suppresses the superconducting correlations in the Nregion, with the consequence that the entropy and the specific heat get reducedeventually to those in the absence of superconductivity for opaque interfaces.Finally we suggest an experiment and check that it is possible, under realisticconditions, to measure the dependence of electronic specific heat on the phasedifference between the superconductors.

Influence of interface transmissivity and inelastic scattering on the electronic entropy and specific heat of diffusive SNS Josephson junctions