5 papers
The "Intensity" Countoscope: Measuring particle dynamics in real space from microscopy images
Sophie Hermann, Seyed Saman Banarooei, Adam Carter +2
Advances in intensity-based microscopy techniques have improved our ability to quantify particle motion at microscopic scales, enabling insight into diffusion and collective dynami…
Gauge invariance and hyperforce correlation theory for equilibrium fluid mixtures
Joshua Matthes, Silas Robitschko, Johanna Müller +3
We formulate gauge invariance for the equilibrium statistical mechanics of classical multi-component systems. Species-resolved phase space shifting constitutes a gauge transformati…
Gauge Invariance of Equilibrium Statistical Mechanics
Johanna Müller, Sophie Hermann, Florian Sammüller +1
We identify a recently proposed shifting operation on classical phase space as a gauge transformation for statistical mechanical microstates. The infinitesimal generators of the co…
Hyper-density functional theory of soft matter
Florian Sammüller, Silas Robitschko, Sophie Hermann +1
We present a scheme for investigating arbitrary thermal observables in spatially inhomogeneous equilibrium many-body systems. Extending the grand canonical ensemble yields any give…
Neural force functional for non-equilibrium many-body colloidal systems
Toni Zimmerman, Florian Sammüller, Sophie Hermann +2
We combine power functional theory and machine learning to study non-equilibrium overdamped many-body systems of colloidal particles at the level of one-body fields. We first sampl…