Geometric Fluctuation Theorem
Statistical Mechanics
2017-08-16 v4
Abstract
We derive an extended fluctuation theorem for a geometric pumping in a spin-boson system under a periodic control of environmental temperatures by using a Markovian quantum master equation. We perform the Monte-Carlo simulation and obtain the current distribution, the average current and the fluctuation. Using the extended fluctuation theorem we try to explain the results of our simulation. The fluctuation theorem leads to the fluctuation dissipation relations but the absence of the conventional reciprocal relation.
Cite
@article{arxiv.1701.02984,
title = {Geometric Fluctuation Theorem},
author = {Kota L. Watanabe and Hisao Hayakawa},
journal= {arXiv preprint arXiv:1701.02984},
year = {2017}
}
Comments
15 pages, 8 figures