In this talk, we discuss the long-time behavior of three of the most commonly used piecewise deterministic samplers: Randomized Hamiltonian Monte Carlo (RHMC), Zigzag process (ZZP), and Bouncy Particle Sampler (BPS). All of these, alongside kinetic Langevin dynamics, are second-order lifts of the overdamped Langevin dynamics. The kinetic samplers are advantageous due to their potentially accelerated long-time convergence rates and high accuracy in numerical implementation. We discuss the long-time behavior of these samplers in both L^2 energy and relative entropy, and showcase the differences between these dynamics, as well as between L^2 energy and entropy, explaining why the convergence results in entropy cannot be generalized to entropy. Joint work with Jianfeng Lu (Duke) and Pierre Monmarché (U Gustave Eiffel).