Mechanical pressure and work cycle of confined active Brownian particles

Abstract

We derive an analytic expression for the mechanical pressure of a generic\none-dimensional model of confined active Brownian particles (ABPs) that is\nvalid for all values of Peclet number Pe and all confining scenarios. Our model\nreproduces the known scaling of bulk pressure with Pe^2 while in strong\nconfinement pressure scales with Pe. Our analytic results are very well\nreproduced by simulations of ABPs in 2D. We use the pressure formula to\ncalculate both the work performed by an active engine and its efficiency. In\nparticular, efficiency is maximized for work cycles with finite period and not\nin the limit of infinitely slow cycles as in thermodynamic engines.\n