SKM 2023 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 4: Pattern Formation, Delay and Nonlinear Stochastic Systems

DY 4.5: Talk

Monday, March 27, 2023, 10:30–10:45, ZEU 250

Quasi-steady interface flows in simple reaction-diffusion systems — •Tobias Alexander Roth, Henrik Weyer, and Erwin Frey — Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universität München, München, Germany

Intracellular protein patterns are essential features of living systems. A well-studied framework for describing simple protein systems are 2-component reaction-diffusion systems that preserve mass (2cMCRD). These genuine non-equilibrium systems can not be written in terms of a variational approach: there is neither a free energy nor a classical surface tension. Interestingly, it was found that the long-term evolution of these reaction-diffusion systems, however, is phenomenologically similar to the interface dynamics of phase-separating thermodynamic systems.

Here we show that an interface line in 2cMCRD systems obeys a flow, that interpolates between two paradigmatic limits: the two-sided Mullins-Sekerka flow and the area-preserving geodesic curvature flow. This generalised flow conserves area and minimises the interface length. One can tune its character by the time scale of diffusive mass redistribution compared to reactive turnover.