DBI-essence inflation in loop quantum cosmology: warm intermediate and logamediate scenarios

Abstract This work examines the DBI-essence dark energy model, focusing on intermediate and logamediate warm inflation within the framework of Loop Quantum Cosmology. The model considers both constant dissipative coefficient (Γ 0 ) and variable dissipative coefficient (Γ 1 V ( ϕ )) in both the intermediate inflation and logamediate inflation scenarios. Our analysis uses the slow-roll condition to derive the DBI-essence field ϕ ( t ), e-folds N ( t ), and the DBI-essence potential V ( t ), and calculates the first two slow-roll Hubble parameters ε ( t ) and η ( t ). Graphic representations have been used to evaluate the model's stability. We also obtain the primordial perturbation spectrums for this scenario using the slow-roll approximation and the longitudinal gauge. We also provide universal formulations for the tensor-scalar ratio, scalar spectral index, and their running.