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Lax dynamics
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AI
DOI：10.1209/0295-5075/ae1638.png)
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Abstract
En 中文
novel approach is proposed to characterize the dynamics of perturbed many-body integrable systems. Focusing on the paradigmatic case of the Toda chain under non-integrable Hamiltonian perturbations, this study introduces a method based the time evolution of the Lax eigenvalues lambda alpha as a proxy of the quasi-particles velocities and of the perturbed Toda actions. A set of exact equations of motion for the lambda alpha is derived that closely resemble those for eigenenergies of a quantum problem (also known as the Pechukas-Yukawa gas). Numerical simulations suggest that the invariant measure of such dynamics is basically the thermal density of states of the Toda lattice, regardless of the form of the perturbation. open access editor's choice Copyright c 2025 The author(s)
Keywords:
TODA LATTICE
THERMODYNAMICS
SYSTEMS
MODES
CHAOS
Journal
E
IF:
1.8
Papers:
184
Citations:
1.9W
Organization
Cited Papers
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