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Updated: Jan 14, 2026

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
Published on: September 23, 2025
Local integrability breaking and exponential localization of leading Lyapunov vectors
Jiaozi Wang1, Tomaž Prosen2,3, Giulio Casati4
1University of Osnabrück, Department of Mathematics/Computer Science/Physics, D-49076 Osnabrück, Germany.
None:
We study integrability breaking and transport in a discrete space-time lattice with a local integrability-breaking perturbation. We find a singular distribution of the Lyapunov spectrum where the majority of Lyapunov exponents vanish in the thermodynamic limit. The subextensive sequence of nonzero exponents, converging in the thermodynamic limit, corresponds to Lyapunov vectors that are exponentially localized with localization lengths proportional to inverse Lyapunov exponents. Moreover, we investigate the transport behavior of the system by considering the spin-spin and current-current spatiotemporal correlation functions. Our results indicate that the overall transport behavior, similar to the purely integrable case, conforms to Kardar-Parisi-Zhang scaling in the thermodynamic limit and at vanishing magnetization. The same dynamical exponent z=3/2 governs the effect of local perturbation spreading in the bulk.
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