  A microscopic model for a translational Brownian motor, dubbed as Brownian
Translator, is introduced. It is inspired by the Brownian Gyrator of Filliger
and Reimann (Filliger and Reimann 2007). The Brownian Translator consists of a
spatially asymmetric object moving freely along a line due to perpetual
collisions with a surrounding ideal gas. When this gas has an anisotropic
temperature, both spatial and temporal symmetries are broken and the object
acquires a nonzero drift. Onsager reciprocity implies the opposite phenomenon,
that is dragging a spatially asymmetric object in an (initially at) equilibrium
gas induces an energy flow that results in anisotropic gas temperatures.
Expressions for the dynamical and energetic properties are derived as a series
expansion in the mass ratio (of gas particle vs. object). These results are in
excellent agreement with molecular dynamics simulations.
