20.500.12556/RUL-180875 Local integrability breaking and exponential localization of leading Lyapunov vectors 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. nonlinear dynamics chaos transport phenomena statistical mechanics nelinearna dinamika kaos transportni pojavi statistična mehanika true false true Angleški jezik Slovenski jezik Članek v reviji 2026-03-18 14:21:11 2026-03-18 14:21:12 2026-03-21 04:02:06 0000-00-00 00:00:00 2025 0 0 Str. L032201-1-L032201-5 iss. 3 Vol. 112 2025 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 536.9 2470-0045 10.1103/lkjy-xd53 272143875 2412.16887v2.pdf 2412.16887v2.pdf 1 F19737E3BD72FEBB190BCD45F263BCF3 a03e7121a35f75c8f9ffe64ea8b374049d6c4defb356ed990df11894804b28e4 9467f199-22ce-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=230814 https://journals.aps.org/pre/abstract/10.1103/lkjy-xd53 0 9c8c14b6-22ce-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=230815 https://doi.org/10.5281/zenodo.16792714 0 b177ccd6-2463-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=231011 Fakulteta za matematiko in fiziko 0 0 0