New directions in classical density functional theory

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New directions in classical density functional theory

 03 - 06 May 2021

Online

  • Andrew Archer, University of Loughborough
  • Ben Goddard, University of Edinburgh
  • Roland Roth, University of Tubingen

About:

Classical density functional theory (DFT) is a microscopic approach for determining the average density distribution of a classical many-particle system in an arbitrary external potential. The approach is embedded in the framework of statistical mechanics and thermodynamics and is extremely powerful: Not only can one use it to accurately determine particle distributions, but one additionally gets thermodynamic quantities such as interfacial tensions, pressures and adsorptions. The applications of DFT have been numerous since its inception in the late 1970s, and in the last couple of decades the area has a renewed vigour thanks to the extension of the theory to cover dynamical non-equilibrium phenomena. This important extension is known as dynamical density functional theory (DDFT).


The goal of this workshop was to bring together mathematicians, physical scientists, materials scientists, and engineers working on developing and applying DFT and DDFT to discuss recent advances and to stimulate future work.

The workshop featured three plenary talks, giving overviews of (D)DFT from different perspectives, and laying the foundations for interdisciplinary conversations. There were also a number of contributed talks and 'lightning' talks to highlight a particular aspect discussed at the workshop, or a topic for future discussion. There was also be a public lecture by Priya Subramanian (University of Oxford) on Tuesday 4 May on ‘Wielding the knowledge of what is not possible’.

Programme:

Monday 3 May
Plenary: Bob Evans, H.H.Wills Physics Laboratory, University of Bristol Equilibrium Classical Density Functional Theory: A physicist's introduction
Discussion
Break and informal discussions
Alina Ciach, Instytut Chemii Fizycznej PAN, Warszawa Correlation functions in concentrated electrolytes from combined density functional and statistical field theories
Martin Oettel, University of Tübingen The direct correlation function of a solid
Peter Cats , Utrecht University The Puzzling Decay Length in Concentrated Electrolytes
Discussion
Tuesday 4 May
Plenary: Greg Pavliotis, Department of Mathematics, Imperial College London Mean field limits for interacting particles and dynamical density functional theory
Discussion
Break and informal discussions
Sabine Jansen, LMU Munich A new inversion theorem with applications to density functionals
Peter Yatsyshin , The Alan Turing Institute, London Data-Driven Classical Density Functional Theory: A Case for Physics Informed Learning
Matthias Schmidt, Universität Bayreuth Fluctuation profiles for fluids and Noether's Therorem in Statistical Mechanics
Discussion
Priya Subramanian, University of Oxford Public Lecture: Wielding the knowledge of what is not possible
Wednesday 5 May
Plenary: Joachim Groß, Institute of Technical Thermodynamics and Thermal Process Engineering, University of Stuttgart Applications of Classical Density Functional Theory for real fluid mixtures
Discussion
Break and informal discussions
Antoine Barthes, Laboratory for the Thermodynamics of Complex Fluids and their Reservoirs - LFCR / UMR 5150 Confinement of a water fluid film during crystallization in nanopores : a DFT study
Thomas Bernet , Imperial College London Beyond the mean-field approximation for pair correlations in classical density functional theory: SAFT-VR Mie DFT
Alberto Scacchi, Department of Chemistry and Materials, Aalto University Sensitive dependence on molecular interactions of length scales in sheared soft matter
Discussion
Thursday 6th May
Daniel de las Heras, University of Bayreuth Out-of-equilibrium internal forces in Brownian systems
Jonna Roden, University of Edinburgh PDE-Constrained Optimization for Multiscale Particle Dynamics
Discussion
Michael te Vrugt, Institute of Theoretical Physics, Center for Soft Nanoscience, University of Münster Effects of social distancing and isolation on epidemic spreading modeled via dynamical density functional theory
Alastair Rucklidge, University of Leeds Soft matter quasicrystals with six-fold symmetry: pattern formation, mode interactions and tilings
Andrew Archer, University of Loughborough Soft matter quasicrystals with six-fold symmetry: pattern formation, mode interactions and tilings
Discussion, Lightning Talks and Closing
Informal Discussion