# Dresden 2020 – wissenschaftliches Programm

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# DY: Fachverband Dynamik und Statistische Physik

## DY 48: Statistical Physics far from Thermal Equilibrium

### DY 48.10: Vortrag

### Donnerstag, 19. März 2020, 12:00–12:15, ZEU 147

**Dynamics of active hard cross-shaped particles in two-dimensional lattice system** — •Rakesh Chatterjee^{1}, Nimrod Segall^{1}, Carl Merrigan^{1}, Kabir Ramola^{2}, Bulbul Chakraborty^{3}, and Yair Shokef^{1} — ^{1}Tel Aviv University, Israel — ^{2}Tata Institute of Fundamental Research Hyderabad, India — ^{3}Brandeis University, Waltham, USA

We analyse the dynamics of an active tracer particle embedded in a thermal lattice gas. All particles are subject to exclusion up to third nearest neighbours on a square lattice, which leads to slow dynamics at high densities. With no rotational diffusion of the tracer, we derive an analytical expression for the resulting drift velocity of the tracer in terms of non-equilibrium density correlations involving the tracer particle and its neighbours. For the case where the tracer undergoes rotational diffusion, we relate its diffusion coefficient to the thermal diffusion coefficient and drift velocity. We also study dynamics where the rotation of the tracer is limited by the presence of neighbouring particles.

Next we explore phase separation and kinetic arrest when all particles are active and have infinite persistence time of their active orientation. The passive limit of the model quenches into the two-phase coexistence region represent an ageing passive glass. Adding small persistent active bias to the particle dynamics creates states that resemble the passive glass at lower densities. For large active bias, the dense, immobile clusters proliferate until a spanning network bridges the system leading to percolation of an arrested phase.