Dresden 2026 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Poster: Statistical Physics

DY 43.14: Poster

Mittwoch, 11. März 2026, 15:00–18:00, P5

Universality of shocks in conserved driven single-file motion with bottlenecks — •Sourav Pal and Abhik Basu — Theory Division, Saha Institute of Nuclear Physics, a CI of Homi Bhabha National Institute, Kolkata, India

Driven single-file motion, in which particles move unidirectionally along one-dimensional channels, sets the paradigm for wide variety of one-dimensional directed movements, ranging from intracellular transport and urban traffic to ant trails and controlled robot swarms. Motivated by the phenomenology of these systems in closed geometries, regulated by number conservation and bottlenecks, we explore the domain walls (DWs) or shocks in a conceptual one-dimensional cellular automaton with a fixed particle number and a bottleneck. For high entry and exit rates of the cellular automaton, and with sufficiently large particle numbers, the DWs formed are independent of the associated rate parameters, revealing universality in their shapes, which are however enclosed by nonuniversal boundary layers. In contrast, the DWs do depend upon these parameters, if they are small, and hence have nonuniversal shapes, but without boundary layers. Nonuniversal delocalized DWs can be formed by additional tuning of the control parameters. Experimental verification of our theoretical predictions can be performed via high-resolution ribosome profiling on mRNA loops with slow codons, or video imaging of vehicular flow, ant trails, and robotic swarms on confined tracks.

Keywords: Driven single-file motion; Asymmetric simple exclusion process; Cellular automaton; Universality; Mean-field & Monte Carlo methods