57 citations · 558 across the 22 of their papers we have counts for
22 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…
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…
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…
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 balance in thermal quantum many-body systems from Noether's theorem
Sophie Hermann, Matthias Schmidt
We address the consequences of invariance properties of the free energy of spatially inhomogeneous quantum many-body systems. We consider a specific position-dependent transformati…
Variance of fluctuations from Noether invariance
Sophie Hermann, Matthias Schmidt
The strength of fluctuations, as measured by their variance, is paramount in the quantitative description of a large class of physical systems, ranging from simple and complex liqu…
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…
Why Noether's Theorem applies to Statistical Mechanics
Sophie Hermann, Matthias Schmidt
Noether's Theorem is familiar to most physicists due its fundamental role in linking the existence of conservation laws to the underlying symmetries of a physical system. Typically…
Noether's Theorem in Statistical Mechanics
Sophie Hermann, Matthias Schmidt
Noether's calculus of invariant variations yields exact identities from functional symmetries. The standard application to an action integral allows to identify conservation laws.…
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 interface polarization is a state function
Sophie Hermann, Matthias Schmidt
We prove three exact sum rules that relate the polarization of active Brownian particles to their one-body current: (i) The total polarization vanishes, provided that there is no n…
Non-negative Interfacial Tension in Phase-Separated Active Brownian Particles
Sophie Hermann, Daniel de las Heras, Matthias Schmidt
We present a microscopic theory for the nonequilibrium interfacial tension of the free interface between gas and liquid phases of active Brownian particles. The underl…
Phase coexistence of active Brownian particles
Sophie Hermann, Philip Krinninger, Daniel de las Heras +1
We investigate motility-induced phase separation of active Brownian particles, which are modeled as purely repulsive spheres that move due to a constant swim force with freely diff…
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…