57 citations · 558 across the 22 of their papers we have counts for
13 papers · 1 filter
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…
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…
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…
Noether invariance theory for the equilibrium force structure of soft matter
Sophie Hermann, Florian Sammüller, Matthias Schmidt
We give details and derivations for the Noether invariance theory that characterizes the spatial equilibrium structure of inhomogeneous classical many-body systems, as recently pro…
Why neural functionals suit statistical mechanics
Florian Sammüller, Sophie Hermann, Matthias Schmidt
We describe recent progress in the statistical mechanical description of many-body systems via machine learning combined with concepts from density functional theory and many-body…
Hyperforce balance via thermal Noether invariance of any observable
Silas Robitschko, Florian Sammüller, Matthias Schmidt +1
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 exa…
Active crystallization from power functional theory
Sophie Hermann, Matthias Schmidt
We address the gas, liquid, and crystal phase behaviour of active Brownian particles in three dimensions. The nonequilibrium force balance at coexistence leads to equality of state…
Neural functional theory for inhomogeneous fluids: Fundamentals and applications
Florian Sammüller, Sophie Hermann, Daniel de las Heras +1
We present a hybrid scheme based on classical density functional theory and machine learning for determining the equilibrium structure and thermodynamics of inhomogeneous fluids. T…
Noether-Constrained Correlations in Equilibrium Liquids
Florian Sammüller, Sophie Hermann, Daniel de las Heras +1
Liquid structure carries deep imprints of an inherent thermal invariance against a spatial transformation of the underlying classical many-body Hamiltonian. At first order in the t…
Comparative study of force-based classical density functional theory
Florian Sammüller, Sophie Hermann, Matthias Schmidt
We reexamine results obtained with the recently proposed density functional theory framework based on forces (force-DFT) [Tschopp et al., Phys. Rev. E 106, 014115 (2022)]. We compa…
Force density functional theory in- and out-of-equilibrium
S. M. Tschopp, F. Sammüller, S. Hermann +2
When a fluid is subject to an external field, as is the case near an interface or under spatial confinement, then the density becomes spatially inhomogeneous. Although the one-body…
Phase separation of active Brownian particles in two dimensions: Anything for a quiet life
Sophie Hermann, Daniel de las Heras, Matthias Schmidt
Active Brownian particles display self-propelled movement, which can be modelled as arising from a one-body force. Although their interparticle interactions are purely repulsive, f…
Active ideal sedimentation: Exact two-dimensional steady states
Sophie Hermann, Matthias Schmidt
We consider an ideal gas of active Brownian particles that undergo self-propelled motion and both translational and rotational diffusion under the influence of gravity. We solve an…