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    Robitschko, Silas ; Sammüller, Florian ; Schmidt, Matthias ; Hermann, Sophie:
Hyperforce balance via thermal Noether invariance of any observable.
  
   
    
    In: Communications Physics.
      
      Bd. 7
      
      (2024)
      .
    
     - 103.
    
ISSN 2399-3650
    
    
      
DOI: https://doi.org/10.1038/s42005-024-01568-y
    
    
    
     
  
    Zimmermann, Toni ; Sammüller, Florian ; Hermann, Sophie ; Schmidt, Matthias ; de las Heras, Daniel:
Neural force functional for non-equilibrium many-body colloidal systems.
  
   
    
    In: Machine Learning: Science and Technology.
      
      Bd. 5
      
      (2024)
       Heft  3
    .
    
     - 035062.
    
ISSN 2632-2153
    
    
    
      
DOI: https://doi.org/10.1088/2632-2153/ad7191
     
    
    
     
  
    Hermann, Sophie ; Sammüller, Florian ; Schmidt, Matthias:
Noether invariance theory for the equilibrium force structure of soft matter.
  
   
    
    In: Journal of Physics A: Mathematical and Theoretical.
      
      Bd. 57
      
      (2024)
       Heft  17
    .
    
     - 175001.
    
ISSN 1751-8113
    
    
    
      
DOI: https://doi.org/10.1088/1751-8121/ad3ab2
     
    
    
     
  
    Sammüller, Florian ; Hermann, Sophie ; Schmidt, Matthias:
Why neural functionals suit statistical mechanics.
  
   
    
    In: Journal of Physics: Condensed Matter.
      
      Bd. 36
      
      (2024)
       Heft  24
    .
    
     - 243002.
    
ISSN 1361-648X
    
    
      
DOI: https://doi.org/10.1088/1361-648X/ad326f
    
    
    
     
  
    Sammüller, Florian ; Hermann, Sophie ; Schmidt, Matthias:
Comparative study of force-based classical density functional theory.
  
   
    
    In: Physical Review E.
      
      Bd. 107
      
      (2023)
      .
    
     - 034109.
    
ISSN 2470-0053
    
    
      
DOI: https://doi.org/10.1103/PhysRevE.107.034109
    
    
    
     
  
    Sammüller, Florian ; Hermann, Sophie ; de las Heras, Daniel ; Schmidt, Matthias:
Neural functional theory for inhomogeneous fluids : Fundamentals and applications.
  
   
    
    In: Proceedings of the National Academy of Sciences of the United States of America.
      
      Bd. 120
      
      (2023)
      .
    
     - e2312484120.
    
ISSN 1091-6490
    
    
      
DOI: https://doi.org/10.1073/pnas.2312484120
    
    
    
     
  
    Sammüller, Florian ; Hermann, Sophie ; de las Heras, Daniel ; Schmidt, Matthias:
Noether-Constrained Correlations in Equilibrium Liquids.
  
   
    
    In: Physical Review Letters.
      
      Bd. 130
      
      (2023)
      .
    
     - 268203.
    
ISSN 1079-7114
    
    
      
DOI: https://doi.org/10.1103/PhysRevLett.130.268203
    
    
    
     
  
    de las Heras, Daniel ; Zimmermann, Toni ; Sammüller, Florian ; Hermann, Sophie ; Schmidt, Matthias:
Perspective: How to overcome dynamical density functional theory.
  
   
    
    In: Journal of Physics: Condensed Matter.
      
      Bd. 35
      
      (2023)
       Heft  27
    .
    
     - 271501.
    
ISSN 1361-648X
    
    
    
      
DOI: https://doi.org/10.1088/1361-648X/accb33
     
    
    
     
  
    Hermann, Sophie ; Schmidt, Matthias:
Force balance in thermal quantum many-body systems from Noether’s theorem.
  
   
    
    In: Journal of Physics A: Mathematical and Theoretical.
      
      Bd. 55
      
      (2022)
       Heft  46
    .
    
     - 464003.
    
ISSN 1751-8113
    
    
    
      
DOI: https://doi.org/10.1088/1751-8121/aca12d
     
    
    
     
  
    Hermann, Sophie ; Schmidt, Matthias:
Variance of fluctuations from Noether invariance.
  
   
    
    In: Communications Physics.
      
      Bd. 5
      
      (2022)
      .
    
     - 276.
    
ISSN 2399-3650
    
    
    
      
DOI: https://doi.org/10.1038/s42005-022-01046-3
     
    
    
     
  
    Hermann, Sophie ; Schmidt, Matthias:
Why Noether’s theorem applies to statistical mechanics.
  
   
    
    In: Journal of Physics: Condensed Matter.
      
      Bd. 34
      
      (2022)
       Heft  21
    .
    
     - 213001.
    
ISSN 1361-648X
    
    
    
      
DOI: https://doi.org/10.1088/1361-648X/ac5b47
     
    
    
     
  
    Hermann, Sophie ; Schmidt, Matthias:
Noether’s theorem in statistical mechanics.
  
   
    
    In: Communications Physics.
      
      Bd. 4
      
      (2021)
      .
    
     - 176.
    
ISSN 2399-3650
    
    
    
      
DOI: https://doi.org/10.1038/s42005-021-00669-2
     
    
    
     
  
    Hermann, Sophie ; de las Heras, Daniel ; Schmidt, Matthias:
Phase separation of active Brownian particles in two dimensions : anything for a quiet life.
  
   
    
    In: Molecular Physics.
      
      Bd. 119
      
      (2021)
       Heft  10
    .
     - e1902585.
    
    
ISSN 1362-3028
    
    
      
DOI: https://doi.org/10.1080/00268976.2021.1902585
    
    
    
     
  
    Hermann, Sophie ; Schmidt, Matthias:
Active interface polarization as a state function.
  
   
    
    In: Physical Review Research.
      
      Bd. 2
      
      (2020)
      .
    
     - 022003(R).
    
ISSN 2643-1564
    
    
      
DOI: https://doi.org/10.1103/PhysRevResearch.2.022003
    
    
    
     
  
    Hermann, Sophie ; de las Heras, Daniel ; Schmidt, Matthias:
Non-negative Interfacial Tension in Phase-Separated Active Brownian Particles.
  
   
    
    In: Physical Review Letters.
      
      Bd. 123
      
      (2019)
       Heft  26
    .
    
     - 268002.
    
ISSN 1079-7114
    
    
      
DOI: https://doi.org/10.1103/PhysRevLett.123.268002
    
    
    
     
  
    Hermann, Sophie ; Krinninger, Philip ; de las Heras, Daniel ; Schmidt, Matthias:
Phase coexistence of active Brownian particles.
  
   
    
    In: Physical Review E.
      
      Bd. 100
      
      (2019)
       Heft  5
    .
    
     - 052604.
    
ISSN 2470-0053
    
    
      
DOI: https://doi.org/10.1103/PhysRevE.100.052604
    
    
    
     
  
    Hermann, Sophie ; Schmidt, Matthias:
Active ideal sedimentation : exact two-dimensional steady states.
  
   
    
    In: Soft Matter.
      
      Bd. 14
      
      (2018)
       Heft  9
    .
     - S. 1614-1621.
    
    
ISSN 1744-6848
    
    
      
DOI: https://doi.org/10.1039/C7SM02515G
    
    
    
     
  
Dissertation
    Hermann, Sophie:
Forces and symmetries in the statistical mechanics of active and thermal many-body systems.
  
    
     Bayreuth
    
    
    
    , 
     2022
    . - VII, 156 S.
    
    
    
     
    
    
    (
     
     Dissertation, 
     
     2022
     , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
    
DOI: https://doi.org/10.15495/EPub_UBT_00006810
    
     
  
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