Thermodynamics of inertial active matter
Final Report Abstract
The investigation of “active matter”, consisting of self-propelling particles, has revealed a plethora of notable phenomena. This is in particular the case for active matter with inertia, which can form spontaneous temperature gradients and thereby constitutes a potential basis for the formation of new refrigerators. In this project, we have developed a new and very general theoretical model for the thermodynamics of active matter with inertia, which allows to describe such phenomena. The theory was obtained via a microscopic derivation: Starting from the known equations for the dynamics of individual particles, the interaction-expansion method allows to find equations for macroscopic system properties such as particle density and temperature. The parameters appearing in these macroscopic equations have a systematic connection to the properties of the microscopic particles. In addition, we have made some more fundamental contributions to the derivation of such theories, in particular concerning the pair-distribution function. This is a theoretical quantity which describes connections between the states of different particles and which is required as an input in the interaction-expansion method. We have conducted several computer simulation studies in which we investigated the form of the pair-distribution function in active particles.
Publications
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Analytical method for reconstructing the stress on a spherical particle from its surface deformation. Biophysical Journal, 123(5), 527-537.
Krüger, Lea Johanna; te Vrugt, Michael; Bröker, Stephan; Wallmeyer, Bernhard; Betz, Timo & Wittkowski, Raphael
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Biaxial nematic order in fundamental measure theory. The Journal of Chemical Physics, 160(9).
El Moumane, Anouar; te Vrugt, Michael; Löwen, Hartmut & Wittmann, René
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Collective dynamics and pair-distribution function of active Brownian ellipsoids in two spatial dimensions. Communications Physics, 7(1).
Bröker, Stephan; te Vrugt, Michael & Wittkowski, Raphael
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Kompetenzen für den Unterricht mit und über Künstliche Intelligenz. Perspektiven, Orientierungshilfen und Praxisbeispiele für die Lehramtsausbildung in den Naturwissenschaften. Waxmann Verlag GmbH.
Huwer, Johannes; Becker-Genschow, Sebastian; Thyssen, Christoph; Thoms, Lars-Jochen; Finger, Alexander; von Kotzebue, Lena; Kremser, Erik; Meier, Monique & Bruckermann, Till
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Microscopic derivation of the thin film equation using the Mori–Zwanzig formalism. The Journal of Chemical Physics, 161(9).
te Vrugt, Michael; Topp, Leon; Wittkowski, Raphael & Heuer, Andreas
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Pair-distribution function of active Brownian spheres in three spatial dimensions: simulation results and analytical representation. Soft Matter, 20(1), 224-244.
Bröker, Stephan; te Vrugt, Michael; Jeggle, Julian; Stenhammar, Joakim & Wittkowski, Raphael
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Passive and active field theories for disease spreading. Journal of Physics A: Mathematical and Theoretical, 57(31), 315003.
te Vrugt, Michael; Jeggle, Julian & Wittkowski, Raphael
