English

Microscopic model for a Brownian Translator

Statistical Mechanics 2023-12-21 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2312.13158,
  title  = {Microscopic model for a Brownian Translator},
  author = {Bart Wijns and Ralf Eichhorn and Bart Cleuren},
  journal= {arXiv preprint arXiv:2312.13158},
  year   = {2023}
}

Comments

20 pages, 6 figures

R2 v1 2026-06-28T13:57:44.622Z