On the high frequency limit of the LLL equation
Pierre Germain (CIMS), Laurent Thomann (IECL)
TL;DR
This paper derives an integro-differential equation and a shell model to describe the high frequency dynamics of the Lowest Landau Level (LLL) equation, providing new theoretical tools for analyzing its behavior.
Contribution
It introduces a novel high frequency limit framework for the LLL equation, including an integro-differential equation and shell model, advancing theoretical understanding.
Findings
Derived a heuristic integro-differential equation for LLL dynamics.
Developed a shell model capturing high frequency behavior.
Provides a new analytical approach for LLL in high frequency regime.
Abstract
We derive heuristically an integro-differential equation, as well as a shell model, governing the dynamics of the Lowest Landau Level equation in a high frequency regime.
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Taxonomy
TopicsNonlinear Dynamics and Pattern Formation · Quantum chaos and dynamical systems · Numerical methods for differential equations