An improved Landauer Principle with finite-size corrections
Abstract
Landauer's Principle relates entropy decrease and heat dissipation during logically irreversible processes. Most theoretical justifications of Landauer's Principle either use thermodynamic reasoning or rely on specific models based on arguable assumptions. Here, we aim at a general and minimal setup to formulate Landauer's Principle in precise terms. We provide a simple and rigorous proof of an improved version of the Principle, which is formulated in terms of an equality rather than an inequality. The proof is based on quantum statistical mechanics concepts rather than on thermodynamic argumentation. From this equality version, we obtain explicit improvements of Landauer's bound that depend on the effective size of the thermal reservoir and reduce to Landauer's bound only for infinite-sized reservoirs.
Cite
@article{arxiv.1306.4352,
title = {An improved Landauer Principle with finite-size corrections},
author = {David Reeb and Michael M. Wolf},
journal= {arXiv preprint arXiv:1306.4352},
year = {2014}
}
Comments
v2: 33 pages, 3 figures, minor changes and additions, references updated; v3: published version, title changed, 23+11 pages, 3 figures, some sections and appendices reordered, many minor changes, results unchanged