Berlin 2024 – wissenschaftliches Programm

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BP: Fachverband Biologische Physik

BP 20: Poster IIIa

BP 20.12: Poster

Mittwoch, 20. März 2024, 11:00–14:30, Poster B

Entropy production of active crystals — •Connor Roberts and Gunnar Pruessner — Imperial College London, United Kingdom

We consider a two-dimensional triangular lattice of active particles that interact with their nearest neighbours through a general pair potential. We study this ``active crystal'' as a means of characterising the dense phase of active matter at high packing fraction. By approximating the interactions to leading order, we obtain exactly the fully time-dependent two-point position correlation and position-self-propulsion cross-correlation matrices for an active harmonic crystal. Importantly, our approximation retains non-trivial terms that are often neglected despite capturing the essential geometry of a particle's local potential. From our expressions of the correlation matrices, we subsequently derive the entropy production, covariance, and mean square displacement. The entropy production is found to have a general form akin to that of non-interacting active particles in external potentials. This may suggest a universal expression for the entropy production that is valid for any system of active particles subject to linear forces, regardless of the forces' origins.

Keywords: Active particles; Entropy production; Active crystals; Non-equilibrium systems; Mean square displacement