A generating functional formalism is developed to facilitate the derivation of coarse-grained
dynamics of macroscopically relevant variables in various types of many-body problems …

In conventional fluid mechanics, the chemical composition and thermodynamic state of a
fluid-solid interface are not considered when establishing velocity-field boundary conditions …

In this Chapter, we present the general statistical-mechanical theory for the derivation of
effective Hamiltonians for arbitrary many-body systems in thermodynamic equilibrium. The …

Atoms and molecules adapt to their environment through a rich hierarchy of electronic
responses. These include dipolar many-body polarization contributions arising in the …

We review the concepts of the theory of coarse-graining and its mathematical background
based on the projection operator technique. The objective of the theory is to derive the …

We discuss recent developments and applications of phase-field models to describe
interface phenomena far from equilibrium. The basic idea is to coarse-grain over …

We employ systematic coarse graining techniques to derive hydrodynamic equations from
Grad's ten-moment equations. The coarse graining procedure is designed such that it …

We derive a coarse-grained description of the dynamics of a nanoparticle immersed in an
isothermal simple fluid by performing a systematic coarse graining of the underlying …

Based on previous work of one of the authors, we define “coarse grained” local observables
for temperature and stress, which are thermodynamically consistent and continuously …

The free energy density functional format is increasingly used to represent the structure of
non-uniform fluids in thermal equilibrium. This representation can often be simplified and …