Brownian Motors driven by Particle Exchange
Shin-ichi Sasa, Tatsuo Shibata
TL;DR
This paper extends Langevin dynamics to include particle exchange with reservoirs, deriving thermodynamic relations and modeling Brownian motors driven by particle exchange in open systems.
Contribution
It introduces a new evolution rule for Langevin dynamics that incorporates particle exchange, enabling the modeling of open systems like Brownian motors.
Findings
Grand canonical ensembles are realized at equilibrium.
Thermodynamic relations for processes between equilibrium states are derived.
A simple model of Brownian motors driven by particle exchange is proposed.
Abstract
We extend the Langevin dynamics so that particles can be exchanged with a particle reservoir. We show that grand canonical ensembles are realized at equilibrium and derive the relations of thermodynamics for processes between equilibrium states. As an application of the proposed evolution rule, we devise a simple model of Brownian motors driven by particle exchange. KEYWORDS: Langevin Dynamics, Thermodynamics, Open Systems
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