We present a scheme for investigating arbitrary thermal observables in spatially
inhomogeneous equilibrium many-body systems. Extending the grand canonical ensemble …

The mode-coupling theory of the glass transition (MCT) has been at the forefront of
fundamental glass research for decades, yet the theory's underlying approximations remain …

Noether invariance in statistical mechanics provides fundamental connections between the
symmetries of a physical system and its conservation laws and sum rules. The latter are …

The medium-range order (MRO) in amorphous systems has been linked to complex features
such as the dynamic heterogeneities in supercooled liquids or the plastic deformation of …

We give details and derivations for the Noether invariance theory that characterizes the
spatial equilibrium structure of inhomogeneous classical many-body systems, as recently …

We analyze in depth the Elastically Collective Nonlinear Langevin Equation theory of
activated dynamics in metastable liquids to establish that the predicted inter-relationships …

Critical single-particle fluctuations associated with particle displacements are inherent to
simple glass-forming liquids in the limit of large dimensions and leave a pseudocritical trace …

The mode-coupling theory (MCT) of the glass transition ranks among the most successful
first-principles kinetic theories to describe glassy dynamics. However, MCT does not fully …

In this thesis, different techniques for the description of inhomogeneous fluids in and out of
equilibrium are investigated. We focus in particular on a thorough account of correlations …

This chapter is a turning point from the broad theoretical basis for fundamental chemical and
biological macromolecule interactions with nonionizing electromagnetic radiation to …