Local integrability breaking and exponential localization of leading Lyapunov vectors

Wang, Jiaozi (avtor), Prosen, Tomaž (avtor), Casati, Giulio (avtor)

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.

• Jezik: Angleški jezik
• Ključne besede: nonlinear dynamics, chaos, transport phenomena, statistical mechanics
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2025
• Št. strani: Str. L032201-1-L032201-5
• Številčenje: Vol. 112, iss. 3
• PID: 20.500.12556/RUL-180875
• UDK: 536.9
• ISSN pri članku: 2470-0045
• DOI: 10.1103/lkjy-xd53
• COBISS.SI-ID: 272143875
• Datum objave v RUL: 18.03.2026

Gradivo je del revije

• Naslov: Physical review E
• Skrajšan naslov: Phys. rev., E
• Založnik: American Physical Society
• ISSN: 2470-0045
• COBISS.SI-ID: 2048366611

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: nelinearna dinamika, kaos, transportni pojavi, statistična mehanika