Mechanical pressure and work cycle of confined active Brownian particles

We derive an analytic expression for the mechanical pressure of a generic one-dimensional model confined active Brownian particles (ABPs) that is valid all values Peclet number Pe and confining scenarios. Our reproduces known scaling bulk with Pe^2 while in strong confinement scales Pe. results are very well reproduced by simulations ABPs 2D. use formula to calculate both work performed engine its efficiency. In particular, efficiency maximized cycles finite period not limit infinitely slow as thermodynamic engines.