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Evolution of the bulk viscous matter dominated universe has been analysedusing the full causal, Israel-Stewart theory for the evolution of bulk viscouspressure in the context of recent acceleration of the universe. The form ofbulk viscosity is taken as $\xi=\alpha\rho^{1/2}. $ We obtained analyticalsolutions for the Hubble parameter and scale factor of the universe. The modelparameters have been computed using the Type Ia supernovae observational data.The evolution of the prominent cosmological parameters were obtained. The ageof the universe for the best estimated model parameters is found to be lessthan observational value. The viscous matter behaves like stiff fluid in theearly evolutionary phase and then evolves to a negative pressure fluid in thelater phase. The equation of state is found to be stabilized with value $\omega>-1$ and thus, the model is not showing any of the phantom behaviour during theevolution. The local as well as generalized second law of thermodynamics aresatisfied in this model, while it was shown by many that the local second lawis breaking in the Eckart formalism approach. The statefinder geometricdiagnostic shows that the present model is distinct from the standard$\Lambda$CDM model of the universe. One of the marked deviation seen in thismodel compared to a corresponding model using Eckart approach is that the bulkviscosity decreases with expansion of the universe, while in it increases fromnegative value in the early universe towards positive values values in theEckart formalism.

Bulk viscous matter and recent acceleration of the universe based on causal viscous theory