Scaling law for membrane lifetime

2024/11/07 by Osamu Fukushima, Fukushima, Osamu, Tomohiro Shigemura +3 · 1 citation
Biochemistry, Genetics and Molecular Biology · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Lipid Membrane Structure and Behavior #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2411.04754

openalex publication_date 2024/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Membrane configurations in the Banks-Fischler-Shenker-Susskind matrix model are unstable due to the existence of flat directions in the potential and the decay process can be seen as a realization of chaotic scattering. In this note, we compute the lifetime of a membrane in a reduced model. The resulting lifetime exhibits scaling laws with respect to energy, coupling constant and a cut-off scale. We numerically evaluate the scaling exponents, which cannot be fixed by the dimensional analysis. Finally, some applications of the results are discussed.

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