Work relation for determining the mixing free energy of small-scale mixtures
Abstract
In thermodynamically characterizing a mixture comprising a finite number of molecules, we consider two kinds of protocol for producing a mixture from a pure substance. The first is a single alchemical operation, whereas the second is a series of processes with feedback control in information thermodynamics and conventional mixing with semipermeable membranes. A comparison of the two numerically determined free-energy changes provides a combinatorial factor that indicates the indistinguishability of the molecules and an alternative Jarzynski equality. The comparison also uncovers a work relation for determining the mixing free energy without using semipermeable membranes. We demonstrate a numerical calculation of applying the work relation to a mixture of argon and krypton. The mixing free energy clearly shows the characteristics of liquid--vapor transition.
Keywords
Cite
@article{arxiv.2111.06110,
title = {Work relation for determining the mixing free energy of small-scale mixtures},
author = {Akira Yoshida and Naoko Nakagawa},
journal= {arXiv preprint arXiv:2111.06110},
year = {2022}
}
Comments
17 pages, 14figures