We consider a system of interacting particles subjected to Langevin inertial dynamics and derive the governing time-dependent equation for the one-body density. We show that, after suitable truncations of the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy, and a multiple time scale analysis, we obtain a self-consistent equation involving only the one-body density. This study extends to arbitrary dimensions previous work on a one-dimensional fluid and highlights the subtelties of kinetic theory in the derivation of dynamical density functional theory.
Learned Free-Energy Functionals from Pair-Correlation Matching for Dynamical Density Functional Theory
TU Munich（慕尼黑工业大学）；Munich Center for Machine Learning（慕尼黑机器学习中心）；Van’t Hoff Institute for Molecular Sciences, University of Amsterdam（阿姆斯特丹大学范特霍夫分子科学研究所）；Informatics Institute, University of Amsterdam（阿姆斯特丹大学信息学研究所）；Institute for Theoretical Physics, Utrecht University（乌得勒支大学理论物理研究所）
Extended dynamical density functional theory for nonisothermal binary systems including momentum density
Johannes Gutenberg-Universität Mainz（美因茨约翰内斯·古腾堡大学）；Heinrich-Heine-Universität Düsseldorf（杜塞尔多夫海因里希·海涅大学）；University of Bayreuth（拜罗伊特大学）；RWTH Aachen University（亚琛工业大学）；DWI – Leibniz Institute for Interactive Materials（莱布尼兹交互材料研究所）；University of Münster（明斯特大学）
