Thermoelastic diffusion problem for a half-space due to a refined dual-phase-lag Green-Naghdi model

The thermoelastic diffusion problem of an isotropic half-space is presented. The Green–Naghdi model with and without energy dissipation is proposed. Novel multi single/dual-phase-lag models are presented to investigate the thermoelastic diffusion behavior of the medium. The simple Green–Naghdi type II and III and their modified models are all examined here. The exact solution of thermodiffusion governing equations has been obtained considering the initial and boundary conditions. The validity of results is acceptable by comparing all variables. Benchmark results are reported to help other investigators in their future comparisons.