Publications

For citations see my profile on Google Scholar

  1. Anouar El Moumane, René Wittmann, Hartmut Löwen and Michael te Vrugt, Dynamical field theories for biaxial liquid crystals, arXiv:2503.11874 (2025), https://doi.org/10.48550/arXiv.2503.11874
  2. Zhi-Feng Huang, Michael te Vrugt, Raphael Wittkowski and Hartmut Löwen, Active pattern formation emergent from single-species nonreciprocity, arXiv:2404.10093 (2024), https://doi.org/10.48550/arXiv.2404.10093
  3. Michael te Vrugt, Paul Needham and Georg J. Schmitz, Is thermodynamics fundamental?, arXiv:2204.04352 (2022), https://doi.org/10.48550/arXiv.2204.04352

    4. Published and accepted articles

  4. Michael te Vrugt and Raphael Wittkowski, Metareview: a survey of active matter reviews, European Physical Journal E 48, 12 (2025), https://doi.org/10.1140/epje/s10189-024-00466-z
    Invited article
  5. Michael te Vrugt, An introduction to reservoir computing, in Michael te Vrugt (Ed.) Artificial Intelligence and Intelligent Matter, Springer, Cham (forthcoming), https://doi.org/10.48550/arXiv.2412.13212
  6. Michael te Vrugt, Neural networks consisting of DNA, in Michael te Vrugt (Ed.) Artificial Intelligence and Intelligent Matter, Springer, Cham (forthcoming), https://doi.org/10.48550/arXiv.2501.03235
  7. Michael te Vrugt, Ein einfaches neuronales Netz und seine Anwendung in der Biotechnologie, in Johannes Huwer,  Sebastian Becker-Genschow,  Christoph Thyssen,  Lars-Jochen Thoms,  Alexander Finger,  Lena von Kotzebue,  Erik Kremser,  Monique Meier,  Till Bruckermann (Eds.) Kompetenzen für den Unterricht mit und über Künstliche Intelligenz, p. 82-85, Waxmann, Münster (2024), https://doi.org/10.31244/9783830999317
  8. Michael te Vrugt, Leon Topp, Raphael Wittkowski and Andreas Heuer, Microscopic derivation of the thin film equation using the Mori-Zwanzig formalism, Journal of Chemical Physics 161, 094904 (2024), https://doi.org/10.1063/5.0217535
    Part of 2024 JCP Emerging Investigators Special Collection
  9. Michael te Vrugt, Julian Jeggle and Raphael Wittkowski, Passive and active field theories for disease spreading, Journal of Physics A: Mathematical and Theoretical 57, 315003 (2024), https://doi.org/10.1088/1751-8121/ad4c31
    Invited article
  10. Stephan Bröker, Michael te Vrugt and Raphael Wittkowski, Collective dynamics and pair-distribution function of active Brownian ellipsoids, Communications Physics 7, 238 (2024), https://doi.org/10.1038/s42005-024-01674-x
  11. Anouar El Moumane, Michael te Vrugt, Hartmut Löwen, René Wittmann, Biaxial nematic order in fundamental measure theory, Journal of Chemical Physics 160, 094903 (2024), https://doi.org/10.1063/5.0188117
  12. Lea Johanna Krüger, Michael te Vrugt, Stephan Bröker, Bernhard Wallmeyer, Timo Betz and Raphael Wittkowski, Analytical method for reconstructing the stress on a spherical particle from its surface deformation, Biophysical Journal 123, 527–537 (2024), https://doi.org/10.1016/j.bpj.2024.01.017
  13. Stephan Bröker, Michael te Vrugt, Julian Jeggle, Joakim Stenhammar and Raphael Wittkowski, Pair-distribution function of active Brownian spheres in three spatial dimensions: simulation results and analytical representation, Soft Matter 20, 224-244 (2024), https://doi.org/10.1039/d3sm00987d
  14. Stephan Bröker, Jens Bickmann, Michael te Vrugt, Michael E. Cates and Raphael Wittkowski, Orientation-dependent propulsion of active Brownian spheres: from self-advection to programmable cluster shapes, Physical Review Letters 131, 168203 (2023), https://doi.org/10.1103/PhysRevLett.131.168203
  15. Jens Bickmann, Stephan Bröker, Michael te Vrugt and Raphael Wittkowski, Active Brownian particles in external force fields: Field-theoretical models, generalized barometric law, and programmable density patterns, Physical Review E 108, 044601 (2023), https://doi.org/10.1103/PhysRevE.108.044601
  16. Michael te Vrugt, Jens Bickmann and Raphael Wittkowski, How to derive a predictive field theory for active Brownian particles: a step-by-step tutorial, Journal of Physics: Condensed Matter 35, 313001 (2023), https://doi.org/10.1088/1361-648X/acc4400078
    Invited article
  17. Michael te Vrugt, Tobias Frohoff-Hülsmann, Eyal Heifetz, Uwe Thiele and Raphael Wittkowski, From a microscopic inertial active matter model to the Schrödinger equation, Nature Communications 14, 1302 (2023), https://doi.org/10.1038/s41467-022-35635-1
  18. Georg J. Schmitz, Michael te Vrugt, Tore Haug-Warberg, Lodin Ellingsen, Paul Needham and Raphael Wittkowski, Thermodynamics of an empty box, Entropy 25, 315 (2023), https://doi.org/10.3390/e25020315
  19. Michael te Vrugt and Raphael Wittkowski, Perspective: New directions in dynamical density functional theory, Journal of Physics: Condensed Matter 35, 041501 (2023) https://doi.org/10.1088/1361-648X/ac8633
    Invited article
  20. Michael te Vrugt, How to distinguish between indistinguishable particles, British Journal for the Philosophy of Science (forthcoming), https://doi.org/10.1086/718495
    Covered in BJPS Short Reads
  21. Michael te Vrugt, Max Philipp Holl, Aron Koch, Raphael Wittkowski and Uwe Thiele, Derivation and analysis of a phase field crystal model for a mixture of active and passive particles, Modelling and Simulation in Materials Science and Engineering 30, 084001 (2022), https://doi.org/10.1088/1361-651X/ac856a
    Invited article, part of special issue on phase field crystal models
  22. Paul Arne Monderkamp, René Wittmann, Michael te Vrugt, Axel Voigt, Raphael Wittkowski and Hartmut Löwen, Topological fine structure of smectic grain boundaries and tetratic disclination lines within three-dimensional smectic liquid crystals, Physical Chemistry Chemical Physics 24, 15691–15704 (2022), https://doi.org/10.1039/D2CP00060A
    Selected for the journal front cover
  23. Michael te Vrugt, Understanding probability and irreversibility in the Mori-Zwanzig projection operator formalism, European Journal for Philosophy of Science 12, 41 (2022), https://doi.org/10.1007/s13194-022-00466-w
  24. Michael te Vrugt, The mereology of thermodynamic equilibrium, Synthese 199, 12891–12921 (2021), https://doi.org/10.1007/s11229-021-03359-2
  25. Michael te Vrugt, Gyula I. Tóth and Raphael Wittkowski, Master equations for Wigner functions with spontaneous collapse and their relation to thermodynamic irreversibility, Journal of Computational Electronics 20, 2209–2231 (2021), https://doi.org/10.1007/s10825-021-01804-6
    Invited article, part of special issue on Wigner functions
  26. Michael te Vrugt, Sabine Hossenfelder and Raphael Wittkowski, Mori-Zwanzig formalism for general relativity: a new approach to the averaging problem, Physical Review Letters 127, 231101 (2021), https://doi.org/10.1103/PhysRevLett.127.231101
  27. Michael te Vrugt, The five problems of irreversibility, Studies in History and Philosophy of Science 87, 136-146 (2021), https://doi.org/10.1016/j.shpsa.2021.04.006
  28. Michael te Vrugt, Jens Bickmann and Raphael Wittkowski, Containing a pandemic: Nonpharmaceutical interventions and the “second wave”, Journal of Physics Communications 5, 055008 (2021), https://doi.org/10.1088/2399-6528/abf79f
  29. Michael te Vrugt, Julian Jeggle and Raphael Wittkowski, Jerky active matter:a phase field crystal model with translational and orientational memory, New Journal of Physics 23, 063023 (2021), https://doi.org/10.1088/1367-2630/abfa61
  30. Michael te Vrugt, Hartmut Löwen and Raphael Wittkowski, Classical dynamical density functional theory: From fundamentals to applications, Advances in Physics 69, 121-247 (2020), https://doi.org/10.1080/00018732.2020.1854965
  31. Michael te Vrugt, Jens Bickmann and Raphael Wittkowski, Effects of social distancing and isolation on epidemic spreading modeled via dynamical density functional theory, Nature Communications 11, 5576 (2020), https://doi.org/10.1038/s41467-020-19024-0
  32. Michael te Vrugt and Raphael Wittkowski, Orientational order parameters for arbitrary quantum systems, Annalen der Physik 532, 2000266 (2020), https://doi.org/10.1002/andp.202000266
    Top-downloaded article
  33. Michael te Vrugt and Raphael Wittkowski, Projection operators in statistical mechanics: a pedagogical approach, European Journal of Physics 41, 045101 (2020), https://doi.org/10.1088/1361-6404/ab8e28
  34. Michael te Vrugt and Raphael Wittkowski, Relations between angular and Cartesian orientational expansions, AIP Advances 10, 035106 (2020), https://doi.org/10.1063/1.5141367
  35. Michael te Vrugt and Raphael Wittkowski, Mori-Zwanzig projection operator formalism for far-from-equilibrium systems with time-dependent Hamiltonians, Physical Review E 99, 062118 (2019), https://doi.org/10.1103/PhysRevE.99.062118