Green and Kubo forge the arrow of time
Statistical Mechanics
2024-12-17 v2 Soft Condensed Matter
Abstract
Transport theory describes the response of a macroscopic current to a thermodynamic force, thus producing entropy and apparently violating time-reversal symmetry. In this note I report a pedagogical derivation of the Green-Kubo formula for transport coefficients that highlights the intrinsically dynamical nature of this formula and showcases the relation between the apparent breach of time-reversal symmetry and the non-commutativity of the low-frequency / low-wavevector limits of the conserved-density susceptibilities, from which the formula can be established.
Keywords
Cite
@article{arxiv.2404.09291,
title = {Green and Kubo forge the arrow of time},
author = {Stefano Baroni},
journal= {arXiv preprint arXiv:2404.09291},
year = {2024}
}
Comments
Paper published in the Molecular Physics special issue dedicated to Giovanni Ciccotti on occasion of his eightieth birthday. This is the PostPrint version