
I shall present a derivation of entropy four-current up to third-order in dissipative hydrodynamical quantities based on the framework of relativistic kinetic theory and study effects of higher-order equations in flow profiles relevant for ultra-relativistic heavy ion-collisions to quantify the domain of applicability of hydrodynamics. I shall also discuss implementation of thermal fluctuations in causal second-order dissipative theories and demonstrate the role played by thermal noise in inducing long-ranged correlations between final state particles.