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BP: Fachverband Biologische Physik
BP 14: Poster Session II
BP 14.94: Poster
Dienstag, 10. März 2026, 18:00–21:00, P2
Statistical mechanics of disordered buckling instabilities — •Tangdi Luan1,2,3 and Pierre A. Haas1,2,3 — 1Max Planck Institute for the Physics of Complex Systems — 2Max Planck Institute of Molecular Cell Biology and Genetics — 3Center for Systems Biology Dresden
Buckling instabilities drive the emergence of biological shape during morphogenesis, but the effect of the large variability of these systems at the microscopic cell scale on these instabilities at the macroscopic scale of tissues is largely unknown. The buckling of a rod with disordered growth [1] is perhaps the simplest setup of this problem. Numerical simulations [1] reveal that even in this minimal setup, the distribution of growth disorder has complex effects on the buckling threshold.
Here, we provide the theoretical underpinnings for these observations: we develop the statistical theory that explains how the spatial distributions of disorder of growth and material properties conspire to determine the threshold for the instability. Our results thus indicate how correlations and hence feedbacks between stress and growth can control mechanical instabilities and, by extension, the emergence of biological shape in development.
[1] Ramachandran et al., Phys. Rev. E 110 (2024)
Keywords: Buckling instability; Disorder